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Journal articles on the topic 'Stochastic quantum Zeno phenomena'

Author: Grafiati

Published: 10 March 2023

Last updated: 31 July 2025

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1

Yamaga, Kazuki. "Stochastic Process Emerged from Lattice Fermion Systems by Repeated Measurements and Long-Time Limit." Axioms 9, no. 3 (2020): 90. http://dx.doi.org/10.3390/axioms9030090.

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It is known that, in quantum theory, measurements may suppress Hamiltonian dynamics of a system. A famous example is the ‘Quantum Zeno Effect’. This is the phenomena that, if one performs the measurements M times asking whether the system is in the same state as the one at the initial time until the fixed measurement time t, then survival probability tends to 1 by taking the limit M→∞. This is the case for fixed measurement time t. It is known that, if one takes measurement time infinite at appropriate scaling, the ‘Quantum Zeno Effect’ does not occur and the effect of Hamiltonian dynamics eme

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2

Müller, Matthias M., Stefano Gherardini, Nicola Dalla Pozza, and Filippo Caruso. "Noise sensing via stochastic quantum Zeno." Physics Letters A 384, no. 13 (2020): 126244. http://dx.doi.org/10.1016/j.physleta.2020.126244.

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3

Müller, Matthias M., Stefano Gherardini, and Filippo Caruso. "Quantum Zeno Dynamics Through Stochastic Protocols." Annalen der Physik 529, no. 9 (2017): 1600206. http://dx.doi.org/10.1002/andp.201600206.

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Gherardini, Stefano, Shamik Gupta, Francesco Saverio Cataliotti, Augusto Smerzi, Filippo Caruso, and Stefano Ruffo. "Stochastic quantum Zeno by large deviation theory." New Journal of Physics 18, no. 1 (2016): 013048. http://dx.doi.org/10.1088/1367-2630/18/1/013048.

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5

Power, W. L., and P. L. Knight. "Stochastic simulations of the quantum Zeno effect." Physical Review A 53, no. 2 (1996): 1052–59. http://dx.doi.org/10.1103/physreva.53.1052.

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6

Facchi, P., and S. Pascazio. "Quantum Zeno Phenomena: Pulsed versus Continuous Measurement." Fortschritte der Physik 49, no. 10-11 (2001): 941. http://dx.doi.org/10.1002/1521-3978(200110)49:10/11<941::aid-prop941>3.0.co;2-v.

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7

Chaudhari, Abhijit P., Shane P. Kelly, Riccardo J. Valencia-Tortora, and Jamir Marino. "Zeno crossovers in the entanglement speed of spin chains with noisy impurities." Journal of Statistical Mechanics: Theory and Experiment 2022, no. 10 (2022): 103101. http://dx.doi.org/10.1088/1742-5468/ac8e5d.

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Abstract We use a noisy signal with finite correlation time to drive a spin (dissipative impurity) in the quantum XY spin chain and calculate the dynamics of entanglement entropy (EE) of a bipartition of spins, for a stochastic quantum trajectory. We compute the noise averaged EE of a bipartition of spins and observe that its speed of spreading decreases at strong dissipation, as a result of the Zeno effect. We recover the Zeno crossover and show that noise averaged EE can be used as a proxy for the heating and Zeno regimes. Upon increasing the correlation time of the noise, the location of th

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8

Biella, Alberto, and Marco Schiró. "Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition." Quantum 5 (August 19, 2021): 528. http://dx.doi.org/10.22331/q-2021-08-19-528.

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It is well known that by repeatedly measuring a quantum system it is possible to completely freeze its dynamics into a well defined state, a signature of the quantum Zeno effect. Here we show that for a many-body system evolving under competing unitary evolution and variable-strength measurements the onset of the Zeno effect takes the form of a sharp phase transition. Using the Quantum Ising chain with continuous monitoring of the transverse magnetization as paradigmatic example we show that for weak measurements the entanglement produced by the unitary dynamics remains protected, and actually

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LAN, LI-LI, XIANG-BIN WANG, and SHAO-MING FEI. "PHOTON INDUCED ENTANGLEMENT IN ATOM-CAVITY SYSTEMS." International Journal of Quantum Information 08, no. 08 (2010): 1239–50. http://dx.doi.org/10.1142/s0219749910006976.

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We study the evolution of quantum entanglement in double cavity systems. The entanglement of cavity atoms induced by entangled pair of photons is investigated. Both entanglement sudden death and entanglement sudden birth phenomena are shown to exist and are analyzed in detail. We also propose a strategy to enhance the entanglement between the atom in one cavity and the photon in another cavity by using quantum Zeno effect.

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10

RAKHIMOV R., KH. "QUANTUM MECHANICS AND THERMODYNAMICS: PARADOXES AND POSSIBILITIES." Computational Nanotechnology 12, no. 1 (2025): 138–67. https://doi.org/10.33693/2313-223x-2025-12-1-138-167.

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This paper examines phenomena in quantum mechanics that may initially appear to violate the laws of thermodynamics but actually conform to quantum principles. The discussion includes phenomena such as the impulse tunneling effect (ITE), quantum tunneling that allows particles to pass through potential barriers; superconductivity, where electric current flows without resistance and the wave function collapse that occurs during the measurement of quantum systems. The Zeno effect, where a particle can remain in an excited state under constant observation, and quantum fluctuations related to vacuu

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11

Kurizki, Gershon. "Universal Dynamical Control of Open Quantum Systems." ISRN Optics 2013 (September 19, 2013): 1–51. http://dx.doi.org/10.1155/2013/783865.

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Due to increasing demands on speed and security of data processing, along with requirements on measurement precision in fundamental research, quantum phenomena are expected to play an increasing role in future technologies. Special attention must hence be paid to omnipresent decoherence effects, which hamper quantumness. Their consequence is always a deviation of the quantum state evolution (error) with respect to the expected unitary evolution if these effects are absent. In operational tasks such as the preparation, transformation, transmission, and detection of quantum states, these effects

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12

Shushin, A. I. "The effect of measurements, randomly distributed in time, on quantum systems: stochastic quantum Zeno effect." Journal of Physics A: Mathematical and Theoretical 44, no. 5 (2011): 055303. http://dx.doi.org/10.1088/1751-8113/44/5/055303.

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13

Gherardini, Stefano, Andrea Smirne, Matthias M. Müller, and Filippo Caruso. "Advances in Sequential Measurement and Control of Open Quantum Systems." Proceedings 12, no. 1 (2019): 11. http://dx.doi.org/10.3390/proceedings2019012011.

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Novel concepts, perspectives and challenges in measuring and controlling an open quantum system via sequential schemes are shown. We discuss how similar protocols, relying both on repeated quantum measurements and dynamical decoupling control pulses, can allow to: (i) Confine and protect quantum dynamics from decoherence in accordance with the Zeno physics. (ii) Analytically predict the probability that a quantum system is transferred into a target quantum state by means of stochastic sequential measurements. (iii) Optimally reconstruct the spectral density of environmental noise sources by or

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14

HÜFFEL, HELMUTH. "NONLINEAR PHENOMENA IN CANONICAL STOCHASTIC QUANTIZATION." International Journal of Bifurcation and Chaos 18, no. 09 (2008): 2787–91. http://dx.doi.org/10.1142/s0218127408022019.

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Stochastic quantization provides a connection between quantum field theory and statistical mechanics, with applications especially in gauge field theories. Euclidean quantum field theory is viewed as the equilibrium limit of a statistical system coupled to a thermal reservoir. Nonlinear phenomena in stochastic quantization arise when employing nonlinear Brownian motion as an underlying stochastic process. We discuss a novel formulation of the Higgs mechanism in QED.

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15

BHATTACHARYA, B., and K. HAJRA. "QUANTUM FIELD THEORY OF A DISSIPATIVE SYSTEM." Modern Physics Letters A 10, no. 06 (1995): 467–77. http://dx.doi.org/10.1142/s0217732395000508.

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Quantum dissipative scalar and fermionic fields are studied here from classical stochastic fields. These classical stochastic fields are the outcome of the relativistic generalization of Nelson's stochastic mechanics based on a new microlocal geometry. Results show that the dissipation is the external classical phenomena whereas quantum nature comes from within (microlocal structure).

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16

Castro Santis, Ricardo. "Quantum stochastic dynamics in multi-photon optics." Infinite Dimensional Analysis, Quantum Probability and Related Topics 17, no. 01 (2014): 1450007. http://dx.doi.org/10.1142/s0219025714500076.

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Multi-photon models are theoretically and experimentally important because in them quantum properly phenomena are verified; as well as squeezed light and quantum entanglement also play a relevant role in quantum information and quantum communication (see Refs. 18–20).In this paper we study a generic model of a multi-photon system with an arbitrary number of pumping and subharmonics fields. This model includes measurement on the system, as could be direct or homodyne detection and we demonstrate the existence of dynamics in the context of Continuous Measurement Theory of Open Quantum Systems (s

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17

Aris Chatzidimitriou-Dreismann, C. "Quantumness of correlations in nanomaterials—experimental evidence and unconventional effects." AIMS Materials Science 9, no. 3 (2022): 382–405. http://dx.doi.org/10.3934/matersci.2022023.

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<abstract><p>Quantum correlations phenomena, such as entanglement, quantum discord and quantum coherence, are ubiquitous effects caused by interactions between physical systems—such as electrons and ions in a piece of metal, or H atoms/molecules adsorbed in nanoporous materials. Here, we address time-asymmetric quantumness of correlations (QoC), with particular emphasis on their energetic consequences for dynamics and non-equilibrium thermodynamics in condensed matter and/or many-body systems. Some known theoretical models—for example, the quantum Zeno effect and GKSL-type Markovia

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18

Zhuang, Xi-Ning, Zhao-Yun Chen, Cheng Xue, Yu-Chun Wu, and Guo-Ping Guo. "Quantum Encoding and Analysis on Continuous Time Stochastic Process with Financial Applications." Quantum 7 (October 3, 2023): 1127. http://dx.doi.org/10.22331/q-2023-10-03-1127.

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Modeling stochastic phenomena in continuous time is an essential yet challenging problem. Analytic solutions are often unavailable, and numerical methods can be prohibitively time-consuming and computationally expensive. To address this issue, we propose an algorithmic framework tailored for quantum continuous time stochastic processes. This framework consists of two key procedures: data preparation and information extraction. The data preparation procedure is specifically designed to encode and compress information, resulting in a significant reduction in both space and time complexities. Thi

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19

Beyer, Michael, and Wolfgang Paul. "On the Stochastic Mechanics Foundation of Quantum Mechanics." Universe 7, no. 6 (2021): 166. http://dx.doi.org/10.3390/universe7060166.

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Among the famous formulations of quantum mechanics, the stochastic picture developed since the middle of the last century remains one of the less known ones. It is possible to describe quantum mechanical systems with kinetic equations of motion in configuration space based on conservative diffusion processes. This leads to the representation of physical observables through stochastic processes instead of self-adjoint operators. The mathematical foundations of this approach were laid by Edward Nelson in 1966. It allows a different perspective on quantum phenomena without necessarily using the w

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20

Cremaschini, Claudio, and Massimo Tessarotto. "Physical Properties of Schwarzschild–deSitter Event Horizon Induced by Stochastic Quantum Gravity." Entropy 23, no. 5 (2021): 511. http://dx.doi.org/10.3390/e23050511.

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A new type of quantum correction to the structure of classical black holes is investigated. This concerns the physics of event horizons induced by the occurrence of stochastic quantum gravitational fields. The theoretical framework is provided by the theory of manifestly covariant quantum gravity and the related prediction of an exclusively quantum-produced stochastic cosmological constant. The specific example case of the Schwarzschild–deSitter geometry is looked at, analyzing the consequent stochastic modifications of the Einstein field equations. It is proved that, in such a setting, the bl

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21

Willis, Rudolph Elliot. "Spontaneous Subatomic Mass-Energy Interconversion: Implications for the Heisenberg Uncertainty Principle and a Theory of Everything." Applied Physics Research 17, no. 1 (2025): 105. https://doi.org/10.5539/apr.v17n1p105.

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This paper proposes that quantum uncertainty arises from stochastic mass-energy interconversion at the subatomic level. Integrating Einstein&#39;s mass-energy equivalence and quantum mechanics, the hypothesis introduces fluctuating mass terms into mathematical frameworks like the Schr&ouml;dinger equation, yielding novel implications for the Heisenberg Uncertainty Principle. The theory extends to quantum field theory, string theory, and cosmology, suggesting a dynamic mechanism for phenomena ranging from particle decay rates to black hole evaporation. By bridging quantum mechanics and

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22

Mohammed, Wael W., Farah M. Al-Askar, Clemente Cesarano, and M. El-Morshedy. "Solitary Wave Solutions of the Fractional-Stochastic Quantum Zakharov–Kuznetsov Equation Arises in Quantum Magneto Plasma." Mathematics 11, no. 2 (2023): 488. http://dx.doi.org/10.3390/math11020488.

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In this paper, we consider the (3 + 1)-dimensional fractional-stochastic quantum Zakharov–Kuznetsov equation (FSQZKE) with M-truncated derivative. To find novel trigonometric, hyperbolic, elliptic, and rational fractional solutions, two techniques are used: the Jacobi elliptic function approach and the modified F-expansion method. We also expand on a few earlier findings. The extended quantum Zakharov–Kuznetsov has practical applications in dealing with quantum electronpositron–ion magnetoplasmas, warm ions, and hot isothermal electrons in the presence of uniform magnetic fields, which makes t

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23

Martín-Pasquín, Francisco Javier, and Alexander N. Pisarchik. "Brownian Behavior in Coupled Chaotic Oscillators." Mathematics 9, no. 19 (2021): 2503. http://dx.doi.org/10.3390/math9192503.

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Since the dynamical behavior of chaotic and stochastic systems is very similar, it is sometimes difficult to determine the nature of the movement. One of the best-studied stochastic processes is Brownian motion, a random walk that accurately describes many phenomena that occur in nature, including quantum mechanics. In this paper, we propose an approach that allows us to analyze chaotic dynamics using the Langevin equation describing dynamics of the phase difference between identical coupled chaotic oscillators. The time evolution of this phase difference can be explained by the biased Brownia

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24

Miao, S. P., N. C. Tsamis, and R. P. Woodard. "Leading Logarithm Quantum Gravity." Universe 11, no. 7 (2025): 223. https://doi.org/10.3390/universe11070223.

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The continual production of long wavelength gravitons during primordial inflation endows graviton loop corrections with secular growth factors. During a prolonged period of inflation, these factors eventually overwhelm the small loop-counting parameter of GH2, causing perturbation theory to break down. A technique was recently developed for summing the leading secular effects at each order in non-linear sigma models, which possess the same kind of derivative interactions as gravity. This technique combines a variant of Starobinsky’s stochastic formalism with a variant of the renormalization gr

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25

Nand Kumar. "Stochastic Differential Equations in Physics." Communications on Applied Nonlinear Analysis 31, no. 4s (2024): 433–39. http://dx.doi.org/10.52783/cana.v31.937.

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Stochastic Differential Equations (SDEs) are powerful mathematical tools used to model systems subject to random fluctuations. In physics, SDEs find widespread applications ranging from statistical mechanics to quantum field theory. This paper provides an in-depth exploration of the theoretical foundations of SDEs in physics, their applications, and their implications in understanding complex physical phenomena. We delve into the mathematical framework of SDEs, their numerical solutions, and their role in modeling various physical processes. Furthermore, we present case studies illustrating th

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26

Albeverio, Sergio, and Sonia Mazzucchi. "Infinite dimensional integrals and partial differential equations for stochastic and quantum phenomena." Journal of Geometric Mechanics 11, no. 2 (2019): 123–37. http://dx.doi.org/10.3934/jgm.2019006.

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27

Mohammed, Wael W., Ekram E. Ali, Athar I. Ahmed, and Marwa Ennaceur. "Abundant Elliptic, Trigonometric, and Hyperbolic Stochastic Solutions for the Stochastic Wu–Zhang System in Quantum Mechanics." Mathematics 13, no. 5 (2025): 714. https://doi.org/10.3390/math13050714.

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In this article, we look at the stochastic Wu–Zhang system (SWZS) forced by multiplicative Brownian motion in the Itô sense. The mapping method, which is an effective analytical method, is employed to investigate the exact wave solutions of the aforementioned equation. The proposed scheme provides new types of exact solutions including periodic solitons, kink solitons, singular solitons and so on, to describe the wave propagation in quantum mechanics and analyze a wide range of essential physical phenomena. In the absence of noise, we obtain some previously found solutions of SWZS. Additionall

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28

Bonilla, Luis L., Manuel Carretero, and Emanuel Mompó. "Nonlinear Charge Transport and Excitable Phenomena in Semiconductor Superlattices." Entropy 26, no. 8 (2024): 672. http://dx.doi.org/10.3390/e26080672.

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Semiconductor superlattices are periodic nanostructures consisting of epitaxially grown quantum wells and barriers. For thick barriers, the quantum wells are weakly coupled and the main transport mechanism is a sequential resonant tunneling of electrons between wells. We review quantum transport in these materials, and the rate equations for electron densities, currents, and the self-consistent electric potential or field. Depending on superlattice configuration, doping density, temperature, voltage bias, and other parameters, superlattices behave as excitable systems, and can respond to abrup

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29

French, O. E., K. I. Hopcraft, E. Jakeman, and T. J. Shepherd. "Intrinsic and measured statistics of discrete stochastic populations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 464, no. 2099 (2008): 2929–48. http://dx.doi.org/10.1098/rspa.2008.0110.

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The notion that the nature of a measurement is critical to its outcome is usually associated with quantum phenomena. In this paper, we show that the observed statistical properties are also a function of the measurement technique in the case of simple classical populations. In particular, the measured and intrinsic statistics of a single population may be different, while correlation and transfer of individuals between two populations may be hidden from the observer.

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30

Hnatič, Michal, Juha Honkonen, and Tomáš Lučivjanský. "Symmetry Breaking in Stochastic Dynamics and Turbulence." Symmetry 11, no. 10 (2019): 1193. http://dx.doi.org/10.3390/sym11101193.

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Symmetries play paramount roles in dynamics of physical systems. All theories of quantum physics and microworld including the fundamental Standard Model are constructed on the basis of symmetry principles. In classical physics, the importance and weight of these principles are the same as in quantum physics: dynamics of complex nonlinear statistical systems is straightforwardly dictated by their symmetry or its breaking, as we demonstrate on the example of developed (magneto)hydrodynamic turbulence and the related theoretical models. To simplify the problem, unbounded models are commonly used.

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31

Albosaily, Sahar, Wael Mohammed, and Mahmoud El-Morshedy. "The exact solutions of the fractional-stochastic Fokas-Lenells equation in optical fiber communication." Electronic Research Archive 31, no. 6 (2023): 3552–67. http://dx.doi.org/10.3934/era.2023180.

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<abstract><p>The fractional-stochastic Fokas-Lenells equation (FSFLE) in the Stratonovich sense is taken into account here. The modified mapping method is used to generate new trigonometric, hyperbolic, elliptic and rational stochastic fractional solutions. Because the Fokas-Lenells equation has many implementations in telecommunication modes, complex system theory, quantum field theory, and quantum mechanics, the obtained solutions can be employed to describe a wide range of exciting physical phenomena. We plot several 2D and 3D diagrams to demonstrate how multiplicative noise and

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32

NAMSRAI, KH, YA HULREE, and N. NJAMTSEREN. "AN OVERVIEW OF THE APPLICATION OF THE LANGEVIN EQUATION TO THE DESCRIPTION OF BROWNIAN AND QUANTUM MOTIONS OF A PARTICLE." International Journal of Modern Physics A 07, no. 12 (1992): 2661–77. http://dx.doi.org/10.1142/s0217751x92001198.

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A simple scheme of unified description of different physical phenomena by using the Langevin type equations is reviewed. Within this approach much attention is being paid to the study of Brownian and quantum motions. Stochastic equations with a white noise term give all characteristics of the Brownian motion. Some generalization of the Langevin type equations allows us to obtain nonlinear equations of particles' motion, which are formally equivalent to the Schrödinger equation. Thus, we establish Nelson's stochastic mechanics on the basis of the Langevin equation.

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33

Rauch, H. "Mysterious Quantum Effects Observed with Neutrons." Ukrainian Journal of Physics 57, no. 4 (2012): 469. http://dx.doi.org/10.15407/ujpe57.4.469.

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Single-particle interference phenomena can be observed with neutrons, and the "entanglement of degrees of freedom", i.e. the contextuality, can be verified and used in further experiments. Entanglement of two photons or atoms is a complementary situation to the double-slit diffraction of a single photon, neutron, or atom. In this respect, neutrons are proper tools for testing quantum mechanics, because they are massive, they couple to electromagnetic fields due to their magnetic moment, and they are subject to all basic interactions, and they are sensitive to topological effects as well. The4π

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34

Badibi, O. C., I. Ramadhani, M. A. Ndondo, and S. D. Kumwimba. "Numerical Stabilities of Vasicek and Geometric Brownian Motion Models." European Journal of Mathematical Analysis 3 (January 9, 2023): 8. http://dx.doi.org/10.28924/ada/ma.3.8.

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Stochastic differential equations (SDEs) are very often used as models for a large number of phenomena in the physical, economic and management sciences. They generalize the notion of ordinary differential equations, taking into account a white additive and multiplicative noise term, to model random trajectories such as stock market prices or particles movements, on the quantum scale, subject to diffusion phenomena. In rare cases, it is generally impossible to have explicit solution to these equations. In this case, the numerical approach, presenting itself under various aspects, is the only f

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35

Ye, Xiaoqian, Sumei Huang, Li Deng, and Aixi Chen. "Improving the Stochastic Feedback Cooling of a Mechanical Oscillator Using a Degenerate Parametric Amplifier." Photonics 9, no. 4 (2022): 264. http://dx.doi.org/10.3390/photonics9040264.

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Cooling of a macroscopic mechanical resonator to extremely low temperatures is a necessary condition to observe a variety of macroscopic quantum phenomena. Here, we study the stochastic feedback cooling of a mechanical resonator in an optomechanical system with a degenerate optical parametric amplifier (OPA). In the bad-cavity limit, we find that the OPA can enhance the cooling of the movable mirror in the stochastic feedback cooling scheme. The movable mirror can be cooled from 132 mK to 0.033 mK, which is lower than that without the OPA by a factor of about 5.

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36

Boixo, S., E. Knill, and R. Somma. "Eigenpath traversal by phase randomization." Quantum Information and Computation 9, no. 9&10 (2009): 833–55. http://dx.doi.org/10.26421/qic9.9-10-7.

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A computation in adiabatic quantum computing is implemented by traversing a path of nondegenerate eigenstates of a continuous family of Hamiltonians. We introduce a method that traverses a discretized form of the path: At each step we apply the instantaneous Hamiltonian for a random time. The resulting decoherence approximates a projective measurement onto the desired eigenstate, achieving a version of the quantum Zeno effect. If negative evolution times can be implemented with constant overhead, then the average absolute evolution time required by our method is $\cO(L^{2} /\Delta)$ for consta

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37

GHIKAS, DEMETRIS P. K., and ATHANASIOS C. TZEMOS. "STOCHASTIC ANTI-RESONANCE IN THE TIME EVOLUTION OF INTERACTING QUBITS." International Journal of Quantum Information 10, no. 02 (2012): 1250023. http://dx.doi.org/10.1142/s0219749912500232.

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We investigate the possibility of appearance of new phenomena derived from the influence of noise on quantum systems. As a starting point we study the entanglement evolution of two coupled qubits in interaction with an external environment and in the presence of an external magnetic field with a stochastic component. The results show the expected degradation of entanglement due to the noise. The new effect is that for particular initial states the time of disentanglement depends in a non-monotonous way on the strength of the noise. We find that it is shortest for an intermediate strength value

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38

ORTIZ, G., and M. D. JONES. "EXPLORING THE QUANTUM WORLD OF COMPLEX STATES." International Journal of Modern Physics B 13, no. 05n06 (1999): 525–34. http://dx.doi.org/10.1142/s0217979299000424.

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Solving the fundamental microscopic equations of interacting quantum particles is a goal of many-body physicists. Statistical methods reduce the complexity of the problem by sampling phase space selectively using random-walks and real states. Many interesting physical phenomena (e.g., electrons in external magnetic fields) involve systems whose state functions are inherently complex-valued. The Fixed-Phase method is a stochastic approach to deal with such problems. Its key ingredient is a trial phase that plays the role of gauge function in the transformation that maps the original fermion (or

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39

Kim, Eun-jin. "Investigating Information Geometry in Classical and Quantum Systems through Information Length." Entropy 20, no. 8 (2018): 574. http://dx.doi.org/10.3390/e20080574.

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Stochastic processes are ubiquitous in nature and laboratories, and play a major role across traditional disciplinary boundaries. These stochastic processes are described by different variables and are thus very system-specific. In order to elucidate underlying principles governing different phenomena, it is extremely valuable to utilise a mathematical tool that is not specific to a particular system. We provide such a tool based on information geometry by quantifying the similarity and disparity between Probability Density Functions (PDFs) by a metric such that the distance between two PDFs i

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40

White, Gregory A. L., Felix A. Pollock, Lloyd C. L. Hollenberg, Charles D. Hill, and Kavan Modi. "What can unitary sequences tell us about multi-time physics?" Quantum 9 (April 8, 2025): 1695. https://doi.org/10.22331/q-2025-04-08-1695.

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Multi-time quantum processes are endowed with the same richness as multipartite states, including temporal entanglement and exotic causal structures. However, experimentally probing these rich phenomena leans heavily on fast and clean mid-circuit measurements, which are rarely available. We show here how surprisingly accessible these phenomena are in nascent quantum processors even when faced with substantially limited control. We work within the limitation where only unitary control is allowed, followed by a terminating measurement. Within this setting, we first develop a witness for genuine

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41

Mohammed, Wael W., Clemente Cesarano, Doaa Rizk, Elkhateeb S. Aly, and Mahmoud El-Morshedy. "Impact of White Noise on the Exact Solutions of the Stochastic Riemann Wave Equation in Quantum Mechanics." Symmetry 15, no. 11 (2023): 2070. http://dx.doi.org/10.3390/sym15112070.

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In this article, the stochastic Riemann wave equation (SRWE) forced by white noise in the Itô sense is considered. The extended tanh function and mapping methods are applied to obtain new elliptic, rational, hyperbolic, and trigonometric stochastic solutions. Furthermore, we generalize some previous studies. The obtained solutions are important in explaining some exciting physical phenomena, since the SRWE is required for describing wave propagation. We plot numerous 3D and 2D graphical representations to explain how the multiplicative white noise influences the exact solutions of the SRWE. We

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42

Evans, Mogoi N., and Priscah Moraa. "Non-Archimedean Stochastic Fixed-Point Theory Via Sheaf Methods." Asian Journal of Probability and Statistics 27, no. 4 (2025): 91–102. https://doi.org/10.9734/ajpas/2025/v27i4742.

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This work develops a novel framework for non-Archimedean stochastic fixed-point theory through a synthesis of nonlinear functional analysis with sheaf-theoretic probability, establishing new dynamical principles in exotic Banach spaces. By introducing Choquet-capacity-valued measures, we prove a random Borsuk-Ulam theorem for p-adic operators that reveals a fundamental connection between tropical convexity and quantum gravity via a stochastic holographic principle. Our main results include: (1) the constructive existence of forcing-measurable Nash equilibria, (2) complete resolution of non-sep

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Miyachi, Taiga, Jiro Soda, and Junsei Tokuda. "Stochastic Tunneling in de Sitter Spacetime." Universe 10, no. 7 (2024): 292. http://dx.doi.org/10.3390/universe10070292.

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Tunneling processes in de Sitter spacetime are studied by using the stochastic approach. We evaluate the Martin–Siggia–Rose–Janssen–de Dominicis (MSRJD) functional integral by using the saddle-point approximation to obtain the tunneling rate. The applicability conditions of this method are clarified using the Schwinger–Keldysh formalism. In the case of a shallow potential barrier, we reproduce the Hawking–Moss (HM) tunneling rate. Remarkably, in contrast to the HM picture, the configuration derived from the MSRJD functional integral satisfies physically natural boundary conditions. We also dis

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Zhang, Li, and Xiu Hua Yuan. "Stochastic Resonance in a Single-Mode Laser System with an Input Pulse Signal." Key Engineering Materials 552 (May 2013): 377–83. http://dx.doi.org/10.4028/www.scientific.net/kem.552.377.

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In this paper, we investigated the stochastic resonance (SR) phenomenon in a laser system with correlated pump noise and quantum noise. The signal-to-noise ratio (SNR) is calculated when a square sine pulse signal is added to the system. The effects of the duty cycle of pulse signal and the correlation strength of noises on the SNR are discussed. Some valuable phenomena are investigated to improve the output SNR of laser.

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Gebhart, Valentin, Kyrylo Snizhko, Thomas Wellens, Andreas Buchleitner, Alessandro Romito, and Yuval Gefen. "Topological transition in measurement-induced geometric phases." Proceedings of the National Academy of Sciences 117, no. 11 (2020): 5706–13. http://dx.doi.org/10.1073/pnas.1911620117.

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The state of a quantum system, adiabatically driven in a cycle, may acquire a measurable phase depending only on the closed trajectory in parameter space. Such geometric phases are ubiquitous and also underline the physics of robust topological phenomena such as the quantum Hall effect. Equivalently, a geometric phase may be induced through a cyclic sequence of quantum measurements. We show that the application of a sequence of weak measurements renders the closed trajectories, hence the geometric phase, stochastic. We study the concomitant probability distribution and show that, when varying

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Pekola, J. P., and I. M. Khaymovich. "Thermodynamics in Single-Electron Circuits and Superconducting Qubits." Annual Review of Condensed Matter Physics 10, no. 1 (2019): 193–212. http://dx.doi.org/10.1146/annurev-conmatphys-033117-054120.

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Classical and quantum electronic circuits provide ideal platforms to investigate stochastic thermodynamics, and they have served as a stepping stone to realize Maxwell's Demons with highly controllable protocols. In this article, we first review the central thermal phenomena in quantum nanostructures. Thermometry and basic refrigeration methods are described as enabling tools for thermodynamics experiments. Next, we discuss the role of information in thermodynamics that leads to the concept of Maxwell's Demon. Various Maxwell's Demons realized in single-electron circuits over the past couple o

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ZENG, CHUNHUA, AILING GONG, and YUHUI LUO. "EFFECT OF ASYMMETRY IN A BISTABLE SYSTEM WITH QUANTUM FLUCTUATIONS: STRONG FRICTION LIMIT." International Journal of Modern Physics B 25, no. 32 (2011): 4331–38. http://dx.doi.org/10.1142/s0217979211059255.

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In this paper, we study the effect of asymmetry of the potential in a bistable system with quantum fluctuations. Within the quantum Smoluchowski regime, the expressions for the mean first passage time (MFPT) and signal-to-noise ratio (SNR) of the system are obtained, respectively. Based on the MFPT and SNR, we consider both, the overdamped quantum case and its classical counterpart, the effects of the quantum fluctuations and the asymmetry of the potential on the MFPT and SNR are discussed. Our main results show that (i) the quantum fluctuations facilitate the particle to reach the destination

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Chiarelli, Piero. "Dynamics of Wave function Decay: The Quantum Entanglement and the Measure Process." Mediterranean Journal of Basic and Applied Sciences 07, no. 04 (2023): 01–50. http://dx.doi.org/10.46382/mjbas.2023.7401.

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By employing the stochastic extension of the Madelung quantum-hydrodynamic description within a discrete methodology, we establish a solution using the path integral approach to explore the progression of quantum states' superposition. This investigation aims to understand the eventual establishment of a stable end-state configuration amid the backdrop of gravitational background fluctuations. The model identifies the circumstances that lead to a limited range of interaction for the quantum potential, allowing for the emergence of sizeable, classically described macroscopic phenomena. The theo

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Wu, Yusen, and Jingbo B. Wang. "Estimating Gibbs partition function with quantum Clifford sampling." Quantum Science and Technology 7, no. 2 (2022): 025006. http://dx.doi.org/10.1088/2058-9565/ac47f0.

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Abstract The partition function is an essential quantity in statistical mechanics, and its accurate computation is a key component of any statistical analysis of quantum systems and phenomena. However, for interacting many-body quantum systems, its calculation generally involves summing over an exponential number of terms and can thus quickly grow to be intractable. Accurately and efficiently estimating the partition function of its corresponding system Hamiltonian then becomes the key in solving quantum many-body problems. In this paper we develop a hybrid quantum–classical algorithm to estim

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Frank, T. D. "Strongly Nonlinear Stochastic Processes in Physics and the Life Sciences." ISRN Mathematical Physics 2013 (March 28, 2013): 1–28. http://dx.doi.org/10.1155/2013/149169.

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Strongly nonlinear stochastic processes can be found in many applications in physics and the life sciences. In particular, in physics, strongly nonlinear stochastic processes play an important role in understanding nonlinear Markov diffusion processes and have frequently been used to describe order-disorder phase transitions of equilibrium and nonequilibrium systems. However, diffusion processes represent only one class of strongly nonlinear stochastic processes out of four fundamental classes of time-discrete and time-continuous processes evolving on discrete and continuous state spaces. More

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