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Journal articles on the topic 'Quantum recurrence'

Author: Grafiati

Published: 9 March 2023

Last updated: 25 July 2025

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1

Kuznetsov, Vladimir. "Shock-wave model of the earthquake and Poincaré quantum theorem give an insight into the aftershock physics." E3S Web of Conferences 62 (2018): 03006. http://dx.doi.org/10.1051/e3sconf/20186203006.

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A fundamentally new model of aftershocks evident from the shock-wave model of the earthquake and Poincaré Recurrence Theorem [H. Poincare, Acta Mathematica 13, 1 (1890)] is proposed here. The authors (Recurrences in an isolated quantum many-body system, Science 2018) argue that the theorem should be formulated as “Complex systems return almost exactly into their initial state”. For the first time, this recurrence theorem has been demonstrated with complex quantum multi-particle systems. Our shock-wave model of an earthquake proceeds from the quantum entanglement of protons in hydrogen bonds of

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2

A. A, Berezin. "The Fermi-Pasta-Ulam Quantum Recurrence in The Dynamics of an Elementary Physical Vacuum Cell and The Problem of its Polarization." Journal of Energy Conservation 1, no. 3 (2020): 1–12. http://dx.doi.org/10.14302/issn.2642-3146.jec-20-3179.

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A model of a Quantum recurrence in the dynamics of an elementary physical vacuum cell within the framework of four coupled Shrodinger equations has been suggested. The model of an elementary vacuum cell shows that a Quantum recurrence which represents the dynamics of virtual transformations in the cell, qualitatively differs from that of Poincare and the Fermi-Pasta-Ulam. Whereas these recurrences develop in time or space, the Quantum recurrence develops in a sequence of Fourier images represented by non exponentially separating functions. The sequence experiences random energy additions but n

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3

Dolce, Donatello. "The role of quantum recurrence in superconductivity, carbon nanotubes and related gauge symmetry breaking." Foundations of Physics 44, no. 9 (2014): 2014. https://doi.org/10.1007/s10701-014-9816-y.

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Pure quantum phenomena are characterized by intrinsic recurrences in space and time. We use such an intrinsic periodicity as a quantization condition to derive the essential phenomenology of superconductivity. The resulting description is based on fundamental quantum dynamics and geometrical considerations, rather than on microscopical characteristics of the superconducting materials. This allows for the interpretation of the related gauge symmetry breaking by means of the competition between quantum recurrence and thermal noise. We also test the validity of this approach to describe the case

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4

Kiss, T., L. Kecskés, M. Štefaňák, and I. Jex. "Recurrence in coined quantum walks." Physica Scripta T135 (July 2009): 014055. http://dx.doi.org/10.1088/0031-8949/2009/t135/014055.

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5

Dhahri, Ameur, and Farrukh Mukhamedov. "Open quantum random walks, quantum Markov chains and recurrence." Reviews in Mathematical Physics 31, no. 07 (2019): 1950020. http://dx.doi.org/10.1142/s0129055x1950020x.

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In the present paper, we construct QMCs (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the restriction of QMC to the commutative subalgebra coincides with the distribution [Formula: see text] of OQRW. This sheds new light on some properties of the measure [Formula: see text]. As an example, we simply mention that the measure can be considered as a distribution of some functions of certain Markov processes. Furthermore, we study several properties of QMC and associated measures. A new notion of [Formula: se

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6

Sikri, A. K., and M. L. Narchal. "Quantum recurrence in a quasibound system." Physical Review A 47, no. 6 (1993): 4605–7. http://dx.doi.org/10.1103/physreva.47.4605.

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7

Kryvohuz, Maksym, and Jianshu Cao. "Quantum recurrence from a semiclassical resummation." Chemical Physics 322, no. 1-2 (2006): 41–45. http://dx.doi.org/10.1016/j.chemphys.2005.07.021.

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8

Li, Chi Kwong, and Diane Christine Pelejo. "Decomposition of quantum gates." International Journal of Quantum Information 12, no. 01 (2014): 1450002. http://dx.doi.org/10.1142/s0219749914500026.

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A recurrence scheme is presented to decompose an n-qubit unitary gate to the product of no more than N(N - 1)/2 single qubit gates with small number of controls, where N = 2n. Detailed description of the recurrence steps and formulas for the number of k-controlled single qubit gates in the decomposition are given. Comparison of the result to a previous scheme is presented, and future research directions are discussed.

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9

ISAEV, A. P., and O. OGIEVETSKY. "BRST OPERATOR FOR QUANTUM LIE ALGEBRAS: EXPLICIT FORMULA." International Journal of Modern Physics A 19, supp02 (2004): 240–47. http://dx.doi.org/10.1142/s0217751x04020440.

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We continue our study of quantum Lie algebras, an important class of quadratic algebras arising in the Woronowicz calculus on a quantum group. Quantum Lie algebras are generalizations of Lie (super)algebras. Many notions from the theory of Lie (super)algebras admit "quantum" analogues. In particular, there is a BRST operator Q(Q2=0) which generates the differential in the Woronowicz theory and gives information about (co)homologies of quantum Lie algebras. In our previous papers a recurrence relation for the operator Q for quantum Lie algebras was given. Here we solve this recurrence relation

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10

Nakanishi, Noboru. "Quantum Recurrence Relation and Its Generating Functions." Publications of the Research Institute for Mathematical Sciences 49, no. 1 (2013): 177–88. http://dx.doi.org/10.4171/prims/101.

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11

Bhattacharyya, Kamal, and Debashis Mukherjee. "On estimates of the quantum recurrence time." Journal of Chemical Physics 84, no. 6 (1986): 3212–14. http://dx.doi.org/10.1063/1.450251.

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12

Mukhamedov, Farrukh. "Recurrence and Transience within Quantum Markov Chains." Journal of Physics: Conference Series 819 (March 2017): 012004. http://dx.doi.org/10.1088/1742-6596/819/1/012004.

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13

Nauenberg, M. "Autocorrelation function and quantum recurrence of wavepackets." Journal of Physics B: Atomic, Molecular and Optical Physics 23, no. 15 (1990): L385—L390. http://dx.doi.org/10.1088/0953-4075/23/15/001.

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14

POLAVIEJA, GONZALO GARCI A. DE. "Quantum transport, recurrence and localization in H3+." Molecular Physics 87, no. 3 (1996): 651–67. http://dx.doi.org/10.1080/00268979650027388.

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15

Chang, Mou-Hsiung. "Recurrence and Transience of Quantum Markov Semigroups." Stochastic Analysis and Applications 33, no. 1 (2014): 123–98. http://dx.doi.org/10.1080/07362994.2014.968287.

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16

Fagnola, Franco, and Rolando Rebolledo. "Transience and recurrence of quantum Markov semigroups." Probability Theory and Related Fields 126, no. 2 (2003): 289–306. http://dx.doi.org/10.1007/s00440-003-0268-0.

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17

Lozada, A., and P. L. Torres. "Recurrence and coarse-graining in quantum dynamics." Journal of Physics A: Mathematical and General 19, no. 5 (1986): L237—L239. http://dx.doi.org/10.1088/0305-4470/19/5/004.

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18

Pandit, Tanmoy, Alaina M. Green, C. Huerta Alderete, Norbert M. Linke, and Raam Uzdin. "Bounds on the recurrence probability in periodically-driven quantum systems." Quantum 6 (April 6, 2022): 682. http://dx.doi.org/10.22331/q-2022-04-06-682.

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Periodically-driven systems are ubiquitous in science and technology. In quantum dynamics, even a small number of periodically-driven spins leads to complicated dynamics. Hence, it is of interest to understand what constraints such dynamics must satisfy. We derive a set of constraints for each number of cycles. For pure initial states, the observable being constrained is the recurrence probability. We use our constraints for detecting undesired coupling to unaccounted environments and drifts in the driving parameters. To illustrate the relevance of these results for modern quantum systems we d

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19

Loebens, Newton. "Site recurrence for continuous-time open quantum walks on the line." Quantum Information & Computation 23, no. 7&8 (2023): 577–602. http://dx.doi.org/10.26421/qic23.7-8-3.

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In recent years, several properties and recurrence criteria of discrete-time open quantum walks (OQWs) have been presented. Recently, Pellegrini introduced continuous-time open quantum walks (CTOQWs) as continuous-time natural limits of discrete-time OQWs. In this work, we study semifinite CTOQWs and some of their basic properties concerning statistics, such as transition probabilities and site recurrence. The notion of SJK-recurrence for CTOQWs is introduced, and it is shown to be equivalent to the traditional concept of recurrence. This statistic arises from the definition of $\delta$-skelet

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20

WU, SHAO-XIONG, JUN ZHANG, CHANG-SHUI YU, and HE-SHAN SONG. "QUANTUM CORRELATIONS IN THE ENTANGLEMENT DISTILLATION PROTOCOLS." International Journal of Quantum Information 11, no. 03 (2013): 1350029. http://dx.doi.org/10.1142/s0219749913500299.

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We study the quantum correlations between source and target pairs in different protocols of entanglement distillation of one kind of entangled states. We find that there does not exist any quantum correlation in the standard recurrence distillation protocol, while quantum discord and even quantum entanglement are always present in the other two cases of the improved distillation protocols. In the three cases, the distillation efficiency improved with the quantum correlations enhanced.

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21

García de Polavieja, Gonzalo, Nicholas G. Fulton, and Jonathan Tennyson. "Quantum transport, recurrence and localization in H+ 3." Molecular Physics 87, no. 3 (1996): 651–67. http://dx.doi.org/10.1080/00268979600100451.

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22

Sikri, A. K., and M. L. Narchal. "Partial quantum recurrence in free and quasibound systems." Pramana 52, no. 5 (1999): 453–57. http://dx.doi.org/10.1007/bf02830092.

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23

Štefaňák, M., T. Kiss, and I. Jex. "Recurrence of biased quantum walks on a line." New Journal of Physics 11, no. 4 (2009): 043027. http://dx.doi.org/10.1088/1367-2630/11/4/043027.

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24

Berezin, A. A. "Das an Electric Current have an Acoustic Component?" Journal of Energy Conservation 1, no. 2 (2019): 1–14. http://dx.doi.org/10.14302/issn.2642-3146.jec-19-2663.

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The quantum model of electric current suggested by Feynman has been enlarged by n difference-differential Hamiltonian equations describing the phonon dynamics in one dimensional crystallyne lattice. The process of interaction between the electron and phonon components in a crystalline lattice of a conductor has been described by 2n parametrically coupled difference-differential Hamiltonian equations. Computer analysis of the system of these coupled equations showed that their solutions represent a form of the quantum recurrence similar to the Fermi-Pasta-Ulam recurrence. The results of the res

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25

Jacq, Thomas S., and Carlos F. Lardizabal. "Homogeneous open quantum walks on the line: criteria for site recurrence and absorption." Quantum Information and Computation 21, no. 1&2 (2021): 0037–58. http://dx.doi.org/10.26421/qic21.1-2-3.

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In this work, we study open quantum random walks, as described by S. Attal et al.. These objects are given in terms of completely positive maps acting on trace-class operators, leading to one of the simplest open quantum versions of the recurrence problem for classical, discrete-time random walks. This work focuses on obtaining criteria for site recurrence of nearest-neighbor, homogeneous walks on the integer line, with the description presented here making use of recent results of the theory of open walks, most particularly regarding reducibility properties of the operators involved. This all

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26

Kocharovsky, Vitaly, Vladimir Kocharovsky, Vladimir Martyanov, and Sergey Tarasov. "Exact Recursive Calculation of Circulant Permanents: A Band of Different Diagonals inside a Uniform Matrix." Entropy 23, no. 11 (2021): 1423. http://dx.doi.org/10.3390/e23111423.

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We present a finite-order system of recurrence relations for the permanent of circulant matrices containing a band of k any-value diagonals on top of a uniform matrix (for k=1,2 and 3) and the method for deriving such recurrence relations, which is based on the permanents of the matrices with defects. The proposed system of linear recurrence equations with variable coefficients provides a powerful tool for the analysis of the circulant permanents, their fast, linear-time computing; and finding their asymptotics in a large-matrix-size limit. The latter problem is an open fundamental problem. It

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27

李, 宗谚. "Quantum Properties of Yin-Yang Recurrence of Chinese Medicine." Traditional Chinese Medicine 06, no. 02 (2017): 40–45. http://dx.doi.org/10.12677/tcm.2017.62008.

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28

Main, Jörg, Vladimir A. Mandelshtam, and Howard S. Taylor. "High Resolution Quantum Recurrence Spectra: Beyond the Uncertainty Principle." Physical Review Letters 78, no. 23 (1997): 4351–54. http://dx.doi.org/10.1103/physrevlett.78.4351.

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29

Nitsche, Thomas, Sonja Barkhofen, Regina Kruse, et al. "Probing measurement-induced effects in quantum walks via recurrence." Science Advances 4, no. 6 (2018): eaar6444. http://dx.doi.org/10.1126/sciadv.aar6444.

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30

Laha, Pradip, S. Lakshmibala, and V. Balakrishnan. "Recurrence network analysis in a model tripartite quantum system." EPL (Europhysics Letters) 125, no. 6 (2019): 60005. http://dx.doi.org/10.1209/0295-5075/125/60005.

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31

Grünbaum, F. A., C. F. Lardizabal, and L. Velázquez. "Quantum Markov Chains: Recurrence, Schur Functions and Splitting Rules." Annales Henri Poincaré 21, no. 1 (2019): 189–239. http://dx.doi.org/10.1007/s00023-019-00863-7.

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32

HEGSTROM, ROGER A., and GWEN ADSHEAD. "Incompatible Variables and “Quantal” Phenomena in Psychology." Journal of North Carolina Academy of Science 127, no. 1 (2011): 18–27. http://dx.doi.org/10.7572/2167-5880-127.1.18.

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Abstract Mindfulness-based cognitive therapy (MBCT) is an area of modern psychology that provides a successful method for preventing the recurrence of depression. The standard theory of MBCT may be interpreted in terms of a simple theoretical model that employs incompatible variables as its fundamental observable quantities. Although the MBCT theory is not related to or derived from quantum theory, the existence of incompatible variables results in “quantal” phenomena, such as interference and the uncertainty principle, which have been widely believed to occur only as a consequence of the laws

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33

Konno, Norio, and Etsuo Segawa. "Localization of quantum walks via the CGMV method." Quantum Information and Computation 11, no. 5&6 (2011): 485–96. http://dx.doi.org/10.26421/qic11.5-6-9.

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We study discrete-time quantum walks on a half line by means of spectral analysis. Cantero et al. showed that the CMV matrix, which gives a recurrence relation for the orthogonal Laurent polynomials on the unit circle, expresses the dynamics of the quantum walk. Using the CGMV method introduced by them, the name is taken from their initials, we obtain the spectral measure for the quantum walk. As a corollary, we give another proof for localization of the quantum walk on homogeneous trees shown by Chisaki et al.

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34

AURICH, R., and F. STEINER. "TEMPORAL QUANTUM CHAOS." International Journal of Modern Physics B 13, no. 18 (1999): 2361–69. http://dx.doi.org/10.1142/s0217979299002459.

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We study the long-time behavior of bound quantum systems whose classical dynamics is chaotic and put forward two conjectures. Conjecture A states that the autocorrelation function C(t)=<Ψ(0)|Ψ(t)> of a delocalized initial state |Ψ(0)> shows characteristic fluctuations, which we identify with a universal signature of temporal quantum chaos. For example, for the (appropriately normalized) value distribution of S~|C(t)| we predict the distribution P(S)=(π/2)Se-πS2/4. Conjecture B gives the best possible upper bound for a generalized Weyl sum and is related to the extremely large recurren

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35

Dere, Paçin. "Some recurrence formulas for the q-Bernoulli and q-Euler polynomials." Filomat 34, no. 2 (2020): 663–69. http://dx.doi.org/10.2298/fil2002663d.

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The recurrence relations have a very important place for the special polynomials such as q-Appell polynomials. In this paper, we give some recurrence formulas that allow us a better understanding of q-Appell polynomials. We investigate the q-Bernoulli polynomials and q-Euler polynomials, which are q-Appell polynomials, and we obtain their recurrence formulas by using the methods of the q-umbral calculus and the quantum calculus. Our methods include some operators which are quite handy for obtaining relations for the q-Appell polynomials. Especially, some applications of q-derivative operator a

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36

Genoni, Alessandro. "On the use of the Obara–Saika recurrence relations for the calculation of structure factors in quantum crystallography." Acta Crystallographica Section A Foundations and Advances 76, no. 2 (2020): 172–79. http://dx.doi.org/10.1107/s205327332000042x.

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Modern methods of quantum crystallography are techniques firmly rooted in quantum chemistry and, as in many quantum chemical strategies, electron densities are expressed as two-centre expansions that involve basis functions centred on atomic nuclei. Therefore, the computation of the necessary structure factors requires the evaluation of Fourier transform integrals of basis function products. Since these functions are usually Cartesian Gaussians, in this communication it is shown that the Fourier integrals can be efficiently calculated by exploiting an extension of the Obara–Saika recurrence fo

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37

Barhoumi, Abdessatar, and Abdessatar Souissi. "Recurrence of a class of quantum Markov chains on trees." Chaos, Solitons & Fractals 164 (November 2022): 112644. http://dx.doi.org/10.1016/j.chaos.2022.112644.

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38

Sudheesh, C., S. Lakshmibala, and V. Balakrishnan. "Recurrence statistics of observables in quantum-mechanical wave packet dynamics." EPL (Europhysics Letters) 90, no. 5 (2010): 50001. http://dx.doi.org/10.1209/0295-5075/90/50001.

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39

Nitta, Hiroya, Mitsuo Shoji, Masahiro Takahata, Masayoshi Nakano, Daisuke Yamaki, and Kizashi Yamaguchi. "Quantum dynamics of exciton recurrence motion in dendritic molecular aggregates." Journal of Photochemistry and Photobiology A: Chemistry 178, no. 2-3 (2006): 264–70. http://dx.doi.org/10.1016/j.jphotochem.2005.10.040.

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40

Bourgain, J., F. A. Grünbaum, L. Velázquez, and J. Wilkening. "Quantum Recurrence of a Subspace and Operator-Valued Schur Functions." Communications in Mathematical Physics 329, no. 3 (2014): 1031–67. http://dx.doi.org/10.1007/s00220-014-1929-9.

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41

Syros, C. "Boltzmann and Zermelo Versus Loschmidt and Poincaré — is there any Recurrence?" International Journal of Modern Physics B 12, no. 27n28 (1998): 2785–801. http://dx.doi.org/10.1142/s0217979298001629.

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It is shown that Poincaré's recurrence theorem incorporates Loschmidt's requirement for velocity reversion in thermodynamic gas systems. It differs essentially from Hamiltonian dynamics from which Boltzmann's H-theorem follows. The inverse automorphism, T-1, on which is based the demonstration of the recurrence theorem does not exist for atoms and molecule systems. Thermodynamic systems need not spontaneously return to states they occupied in the past and a Zermelo paradox has never existed for them. The same conclusion follows a fortiori for quantum systems in chrono-topology. Poincaré's recu

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42

Jayakody, Mahesh N., Priodyuti Pradhan, Dana Ben Porath, and Eliahu Cohen. "Discrete-Time Quantum Walk on Multilayer Networks." Entropy 25, no. 12 (2023): 1610. http://dx.doi.org/10.3390/e25121610.

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A Multilayer network is a potent platform that paves the way for the study of the interactions among entities in various networks with multiple types of relationships. This study explores the dynamics of discrete-time quantum walks on a multilayer network. We derive a recurrence formula for the coefficients of the wave function of a quantum walker on an undirected graph with a finite number of nodes. By extending this formula to include extra layers, we develop a simulation model to describe the time evolution of the quantum walker on a multilayer network. The time-averaged probability and the

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43

Ismailov, B. "STUDY AND MODELING BEHAVIOR OF QUANTUM SYSTEMS." SCIENTIFIC-DISCUSSION, no. 91 (August 7, 2024): 6–13. https://doi.org/10.5281/zenodo.13253078.

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The article is devoted to the problems of studying and researching the behavior of quantum systems. The proposed approach to research is based on the accumulated experience of studying the interactions of multidimensional dynamic systems exhibiting chaotic behavior within the framework of the Open System. The work focuses on visualization and visual analysis of the results of modeling systems interaction processes. Considering the difference between quantum computing algorithms and traditional, classical ones, it is proposed to use non-standard thinking for their modeling and simulation.

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44

Halıcı, Serpil. "On Cauchy Products of q−Central Delannoy Numbers." Analele Universitatii "Ovidius" Constanta - Seria Matematica 31, no. 3 (2023): 167–76. https://doi.org/10.2478/auom-2023-0037.

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Abstract In this study, we have examined q− central Delannoy numbers and their Cauchy products. We have given some related equalities using the properties of recurrence relations. Moreover, using quantum integers, we have obtained the fundamental identities provided by Cauchy products of central Delannoy numbers.

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45

Pekola, Jukka P., and Bayan Karimi. "Heat Bath in a Quantum Circuit." Entropy 26, no. 5 (2024): 429. http://dx.doi.org/10.3390/e26050429.

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We discuss the concept and realization of a heat bath in solid state quantum systems. We demonstrate that, unlike a true resistor, a finite one-dimensional Josephson junction array or analogously a transmission line with non-vanishing frequency spacing, commonly considered as a reservoir of a quantum circuit, does not strictly qualify as a Caldeira–Leggett type dissipative environment. We then consider a set of quantum two-level systems as a bath, which can be realized as a collection of qubits. We show that only a dense and wide distribution of energies of the two-level systems can secure lon

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46

Kaminishi, Eriko, Jun Sato, and Tetsuo Deguchi. "Recurrence Time in the Quantum Dynamics of the 1D Bose Gas." Journal of the Physical Society of Japan 84, no. 6 (2015): 064002. http://dx.doi.org/10.7566/jpsj.84.064002.

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47

Segawa, Etsuo. "Localization of Quantum Walks Induced by Recurrence Properties of Random Walks." Journal of Computational and Theoretical Nanoscience 10, no. 7 (2013): 1583–90. http://dx.doi.org/10.1166/jctn.2013.3092.

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48

Lardizabal, Carlos F., and Rafael R. Souza. "On a Class of Quantum Channels, Open Random Walks and Recurrence." Journal of Statistical Physics 159, no. 4 (2015): 772–96. http://dx.doi.org/10.1007/s10955-015-1217-x.

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49

Gimeno, V., and J. M. Sotoca. "Upper bounds for the Poincaré recurrence time in quantum mixed states." Journal of Physics A: Mathematical and Theoretical 50, no. 18 (2017): 185302. http://dx.doi.org/10.1088/1751-8121/aa67fe.

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50

Mizrahi, S. S., M. H. Y. Moussa, and D. Otero. "Recurrence and decoherence times of quantum states in a measurement process." Physics Letters A 180, no. 3 (1993): 244–48. http://dx.doi.org/10.1016/0375-9601(93)90704-4.

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