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Relevant bibliographies by topics / Quantum harmonic oscillators

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Academic literature on the topic 'Quantum harmonic oscillators'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Quantum harmonic oscillators"

1

Wang, Shijiao, Xiao San Ma, and Mu-Tian Cheng. "Multipartite Entanglement Generation in a Structured Environment." Entropy 22, no. 2 (2020): 191. http://dx.doi.org/10.3390/e22020191.

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In this paper, we investigate the entanglement generation of n-qubit states in a model consisting of n independent qubits, each coupled to a harmonic oscillator which is in turn coupled to a bath of N additional harmonic oscillators with nearest-neighbor coupling. With analysis, we can find that the steady multipartite entanglement with different values can be generated after a long-time evolution for different sizes of the quantum system. Under weak coupling between the system and the harmonic oscillator, multipartite entanglement can monotonically increase from zero to a stable value. Under

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Mirrahimi, M., and P. Rouchon. "Controllability of Quantum Harmonic Oscillators." IEEE Transactions on Automatic Control 49, no. 5 (2004): 745–47. http://dx.doi.org/10.1109/tac.2004.825966.

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TURBINER, ALEXANDER. "CANONICAL DISCRETIZATION I: DISCRETE FACES OF (AN)HARMONIC OSCILLATOR." International Journal of Modern Physics A 16, no. 09 (2001): 1579–603. http://dx.doi.org/10.1142/s0217751x01003299.

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A certain notion of canonical equivalence in quantum mechanics is proposed. It is used to relate quantal systems with discrete ones. Discrete systems canonically equivalent to the celebrated harmonic oscillator as well as the quartic and the quasiexactly-solvable anharmonic oscillators are found. They can be viewed as a translation-covariant discretization of the (an)harmonic oscillator preserving isospectrality. The notion of the q-deformation of the canonical equivalence leading to a dilatation-covariant discretization preserving polynomiality of eigenfunctions is also presented.

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SAIGO, HAYATO. "A NEW LOOK AT THE ARCSINE LAW AND "QUANTUM-CLASSICAL CORRESPONDENCE"." Infinite Dimensional Analysis, Quantum Probability and Related Topics 15, no. 03 (2012): 1250021. http://dx.doi.org/10.1142/s021902571250021x.

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We prove that the arcsine law as the time-averaged distribution for classical harmonic oscillators emerges from the distributions for quantum harmonic oscillators in terms of noncommutative algebraic probability. This is nothing but a simple and rigorous realization of "Quantum-Classical Correspondence" for harmonic oscillators.

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Dudinetc, I. V., and V. I. Man’ko. "Quantum correlations for two coupled oscillators interacting with two heat baths." Canadian Journal of Physics 98, no. 4 (2020): 327–31. http://dx.doi.org/10.1139/cjp-2019-0067.

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We study a system of two coupled oscillators (A oscillators), each of which linearly interact with their own heat bath consisting of a set of independent harmonic oscillators (B oscillators). The initial state of the A oscillator is taken to be coherent while the B oscillator is in a thermal state. We analyze the time-dependent state of the A oscillator, which is a two-mode Gaussian state. By making use of Simon’s separability criterion, we show that this state is separable for all times. We consider the equilibrium state of the A oscillator in detail and calculate its Wigner function.

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ALGIN, A., M. ARIK, and N. M. ATAKISHIYEV. "SU(d)-INVARIANT MULTIDIMENSIONAL q-OSCILLATORS WITH BOSONIC DEGENERACY." Modern Physics Letters A 15, no. 19 (2000): 1237–42. http://dx.doi.org/10.1142/s0217732300001535.

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Multidimensional two-parameter (q1, q2)-oscillators are of two kinds: one is invariant under the (ordinary) Lie group SU (d), whereas the other is invariant under the quantum group SU q(d) where q = q1/q2. It is shown that the q1 = q2 limit of both of these two-parameter oscillators coincide and give the q-deformed Newton oscillator which can be derived from the standard quantum harmonic oscillator Newton equation. The bosonic degeneracies of the excited levels of these oscillators are different for q1 ≠ q2, but coincide in the q1 = q2 limit.

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Li, Bo, and Peng Wang. "Multiscale Quantum Harmonic Oscillator Algorithm With Multi-Harmonic Oscillators for Numerical Optimization." IEEE Access 7 (2019): 51159–70. http://dx.doi.org/10.1109/access.2019.2909102.

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BOTELHO, LUIZ C. L. "QUANTUM BROWNIAN MOTIONS AND NAVIER–STOKES WEAKLY TURBULENCE — A PATH INTEGRAL STUDY." International Journal of Modern Physics B 19, no. 25 (2005): 3799–823. http://dx.doi.org/10.1142/s0217979205032292.

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In this paper, we present a new method to solve exactly the Schrödinger Harmonic oscillator wave equation in the presence of time-dependent parameter. We also apply such technique to solve exactly the problem of random frequency averaged quantum propagator of a harmonic oscillator with white-noise statistics frequency. We still apply our technique to solve exactly the Brownian Quantum Oscillator in the presence of an electric field. Finally, we use these quantum mechanic techniques to solve exactly the Statistical-Turbulence of the Navier–Stokes in a region of fluid random stirring weakly (ana

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NARAYANA SWAMY, P. "GENERALIZED HEISENBERG RELATION AND QUANTUM HARMONIC OSCILLATORS." International Journal of Modern Physics A 21, no. 30 (2006): 6115–23. http://dx.doi.org/10.1142/s0217751x06034458.

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We study the consequences of the generalized Heisenberg uncertainty relation which admits a minimal uncertainty in length such as the case in a theory of quantum gravity. In particular, the theory of quantum harmonic oscillators arising from such a generalized uncertainty relation is examined. We demonstrate that all the standard properties of the quantum harmonic oscillators prevail when we employ a generalized momentum. We also show that quantum electrodynamics and coherent photon states can be described in the familiar standard manner despite the generalized uncertainty principle.

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Toyama, F. M., and Y. Nogami. "Harmonic oscillators in relativistic quantum mechanics." Physical Review A 59, no. 2 (1999): 1056–62. http://dx.doi.org/10.1103/physreva.59.1056.

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Dissertations / Theses on the topic "Quantum harmonic oscillators"

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Bartlett, Stephen D., Hubert de Guise, Barry C. Sanders, and Andreas Cap@esi ac at. "Quantum Computation with Harmonic Oscillators." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi962.ps.

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Venkataraman, Vignesh. "Understanding open quantum systems with coupled harmonic oscillators." Thesis, Imperial College London, 2015. http://hdl.handle.net/10044/1/30715.

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When a quantum system interacts with many other quantum mechanical objects, the behaviour of the system is strongly affected; this is referred to as an open quantum system (OQS). Since the inception of quantum theory the development of OQSs has been synonymous with realistic descriptions of quantum mechanical models. With recent activity in the advancement of quantum technologies, there has been vested interest in manipulating OQSs. Therefore understanding and controlling environmental effects, by structuring environments, has become an important field. The method of choice for tackling OQSs i

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Shiri-Garakani, Mohsen. "Finite Quantum Theory of the Harmonic Oscillator." Diss., Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5078.

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We apply the Segal process of group simplification to the linear harmonic oscillator. The result is a finite quantum theory with three quantum constants instead of the usual one. We compare the classical (CLHO), quantum (QLHO), and finite (FLHO) linear harmonic oscillators and their canonical or unitary groups. The FLHO is isomorphic to a dipole rotator with N=l(l+1) states where l is very large for physically interesting case. The position and momentum variables are quantized with uniform finite spectra. For fixed quantum constants and large N there are three broad classes of FLHO: soft, med

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Bessa, Vagner Henrique Loiola. "Osciladores log-periódicos e tipo Caldirola-Kanai." reponame:Repositório Institucional da UFC, 2012. http://www.repositorio.ufc.br/handle/riufc/13625.

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BESSA, Vagner Henrique Loiola. Osciladores log-periódicos e tipo Caldirola-Kanai. 2012. 66 f. Dissertação (Mestrado em Física) - Programa de Pós-Graduação em Física, Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2012.<br>Submitted by Edvander Pires (edvanderpires@gmail.com) on 2015-10-19T18:23:14Z No. of bitstreams: 1 2012_dis_vhlbessa.pdf: 26350485 bytes, checksum: 4eb844c05187fb66d3b274a9f8d1b0ed (MD5)<br>Approved for entry into archive by Edvander Pires(edvanderpires@gmail.com) on 2015-10-20T20:53:49Z (GMT) No. of bitstreams: 1 2012_dis_vhlbessa.pdf:

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Bessa, Vagner Henrique Loiola. "Osciladores log-periÃdicos e tipo Caldirola-Kanai." Universidade Federal do CearÃ, 2012. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=8210.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior<br>Nesse trabalho apresentamos as soluÃÃes clÃssicas e quÃnticas de duas classes de osciladores harmÃnicos dependentes de tempo, a saber: (a) o oscilador log-periÃdico e (b) o oscilador tipo Caldirola-Kanai. Para a classe (a) estudamos os seguintes osciladores: (I) $m(t)=m_0frac{t}{t_0}$, (II) $m(t)=m_0$ e (III) $m(t)=m_0ajust{frac{t}{t_0}}^2$. Nesses trÃs casos $omega(t)=omega_0frac{t_0}{t}$. Para a classe (b) estudamos o oscilador (IV) de Caldirola-Kanai onde $omega(t)=omega_0$ e $m(t)=m_0 ext{Exp}ajust{gamma t}$ e osciladores com $

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Owen, Edmund Thomas. "Entanglement and quantum gate processes in the one-dimensional quantum harmonic oscillator." Thesis, University of Cambridge, 2013. https://www.repository.cam.ac.uk/handle/1810/244947.

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Quantum states can contain correlations which are stronger than is possible in classical systems. Quantum information technologies use these correlations, which are known as entanglement, as a resource for implementing novel protocols in a diverse range of fields such as cryptography, teleportation and computing. However, current methods for generating the required entangled states are not necessarily robust against perturbations in the proposed systems. In this thesis, techniques will be developed for robustly generating the entangled states needed for these exciting new technologies. The the

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Cabral, Luís Antônio. "Transparência eletromagneticamente induzida em diferentes sistemas físicos e seu análogo em osciladores acoplados." Universidade Federal de São Carlos, 2013. https://repositorio.ufscar.br/handle/ufscar/5057.

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Made available in DSpace on 2016-06-02T20:16:52Z (GMT). No. of bitstreams: 1 5357.pdf: 11039751 bytes, checksum: 1534d2a0d9db4a8e8f0feb6c57f55080 (MD5) Previous issue date: 2013-08-01<br>Financiadora de Estudos e Projetos<br>The simultaneously incidence of two light beams on one or more atoms causes destructive interference of these beams in atomic states causing cancellation of the absorption of one of the incident beams and this phenomenon is called Electromagnetically Induced Transparency (EIT). The main objective of this work is to show that the Electromagnetically Induced Transparency

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Frost, david L. Mr, and Frank Hagelberg. "Isotropic Oscillator Under a Magnetic and Spatially Varying Electric Field." Digital Commons @ East Tennessee State University, 2014. https://dc.etsu.edu/honors/415.

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We investigate the energy levels of a particle confined in the isotropic oscillator potential with a magnetic and spatially varying electric field. Here we are able to exactly solve the Schrodinger equation, using matrix methods, for the first excited states. To this end we find that the spatial gradient of the electric field acts as a magnetic field in certain circumstances. Here we present the changes in the energy levels as functions of the electric field, and other parameters.

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Bakka, Haakon Christopher. "Applications of p-adic Numbers to well understood Quantum Mechanics : With a focus on Weyl Systems and the Harmonic Oscillator." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for matematiske fag, 2012. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-19366.

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In this thesis we look at how it is possible to construct models in quantum mechanics by using p-adic numbers. First we look closely at different quantum mechanical models using the real numbers, as it is necessary to understand them well before moving on to p-adic numbers. The most promising model, where Weyl systems are used, is studied in detail. Here time translation is not generated by the Hamiltonian, but constructed directly as an operator possessing some fundamental structure in relation to the classical dynamics. Then we develop the relevant theory of the field of p-adic numbers Qp ,

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Novikov, Alexey. "Path integral formulation of dissipative quantum dynamics." Doctoral thesis, [S.l. : s.n.], 2005. http://archiv.tu-chemnitz.de/pub/2005/0050.

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Books on the topic "Quantum harmonic oscillators"

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Paul, Blaise, ed. Quantum oscillators. Wiley, 2011.

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Introduction to classical and quantum harmonic oscillators. Wiley, 1997.

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1946-, Berman Gennady P., ed. Quantum chaos: A harmonic oscillator in monochromatic wave. Rinton Press, 2001.

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Blaise, Paul, and Olivier Henri-Rousseau. Quantum Oscillators. Wiley & Sons, Incorporated, John, 2011.

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Blaise, Paul, and Olivier Henri-Rousseau. Quantum Oscillators. Wiley & Sons, Incorporated, John, 2011.

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Kazakov, Konstantin V. Quantum Theory of Anharmonic Effects in Molecules. Elsevier, 2012.

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Kazakov, Konstantin V. Quantum Theory of Anharmonic Effects in Molecules. Elsevier Science & Technology Books, 2012.

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Mann, Peter. The Harmonic Oscillator. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0004.

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This chapter discusses the harmonic oscillator, which is a model ubiquitous to all branches of physics. The harmonic oscillator is a system with well-known solutions and has been fully investigated since it was first developed by Robert Hooke in the seventeenth century. These factors ensure that the harmonic oscillator is as relevant to a swinging pendulum as it is to a quantum field. Due to the importance of this model, the chapter investigates its dynamical properties, including the superposition principle in solutions, and construct a probability density function in a single dimension. The

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Kachelriess, Michael. Quantum mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802877.003.0002.

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After a brief review of the operator approach to quantum mechanics, Feynmans path integral, which expresses a transition amplitude as a sum over all paths, is derived. Adding a linear coupling to an external source J and a damping term to the Lagrangian, the ground-state persistence amplitude is obtained. This quantity serves as the generating functional Z[J] for n-point Green functions which are the main target when studying quantum field theory. Then the harmonic oscillator as an example for a one-dimensional quantum field theory is discussed and the reason why a relativistic quantum theory

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Kavokin, Alexey V., Jeremy J. Baumberg, Guillaume Malpuech, and Fabrice P. Laussy. Quantum description of light. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198782995.003.0003.

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In this chapter we present a selection of important issues, concepts and tools of quantum mechanics, which we investigate up to the level of details required for the rest of the exposition, disregarding at the same time other elementary and basic topics that have less relevance to microcavities. In the next chapter we will also need to quantize the material excitation, but for now we limit the discussion to light, which allows us to lay down the general formalism for two special cases—the harmonic oscillator and the two-level system.

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Book chapters on the topic "Quantum harmonic oscillators"

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Schwinger, Julian. "Harmonic Oscillators." In Quantum Mechanics. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04589-3_8.

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Hussar, Paul E. "Valons and harmonic oscillators." In Special Relativity and Quantum Theory. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-3051-3_28.

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Brandt, Siegmund, and Hans Dieter Dahmen. "Coupled Harmonic Oscillators: Distinguishable Particles." In The Picture Book of Quantum Mechanics. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4684-0233-9_7.

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Brandt, Siegmund, and Hans Dieter Dahmen. "Coupled Harmonic Oscillators: Indistinguishable Particles." In The Picture Book of Quantum Mechanics. Springer US, 1995. http://dx.doi.org/10.1007/978-1-4684-0233-9_8.

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Brandt, Siegmund, and Hans Dieter Dahmen. "Coupled Harmonic Oscillators: Distinguishable Particles." In The Picture Book of Quantum Mechanics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0167-7_8.

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Brandt, Siegmund, and Hans Dieter Dahmen. "Coupled Harmonic Oscillators: Indistinguishable Particles." In The Picture Book of Quantum Mechanics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0167-7_9.

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Brandt, Siegmund, and Hans Dieter Dahmen. "Coupled Harmonic Oscillators: Distinguishable Particles." In The Picture Book of Quantum Mechanics. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3951-6_8.

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Brandt, Siegmund, and Hans Dieter Dahmen. "Coupled Harmonic Oscillators: Indistinguishable Particles." In The Picture Book of Quantum Mechanics. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-3951-6_9.

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Rajarama Bhat, B. V., and K. R. Parthasarathy. "Generalized harmonic oscillators in quantum probability." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0100845.

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Brandt, Siegmund, Hans Dieter Dahmen, and Tilo Stroh. "A Two-Particle System: Coupled Harmonic Oscillators." In Interactive Quantum Mechanics. Springer New York, 2010. http://dx.doi.org/10.1007/978-1-4419-7424-2_5.

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Conference papers on the topic "Quantum harmonic oscillators"

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Joshi, Chaitanya, Michael J. W. Hall, Mats Jonson, Patrik Öhberg, and Erika Andersson. "Dissipation-boosted entanglement in coupled harmonic oscillators." In Quantum Information and Measurement. OSA, 2012. http://dx.doi.org/10.1364/qim.2012.qt3a.2.

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DUBOIS, DANIEL M. "Hyperincursive Algorithms of Classical Harmonic Oscillator Applied to Quantum Harmonic Oscillator Separable Into Incursive Oscillators." In Unified Field Mechanics: Natural Science Beyond the Veil of Spacetime. WORLD SCIENTIFIC, 2015. http://dx.doi.org/10.1142/9789814719063_0005.

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Santos, Marcelo França. "Arbitrary unitary operations in confined harmonic oscillators." In Conference on Coherence and Quantum Optics. OSA, 2007. http://dx.doi.org/10.1364/cqo.2007.cmi32.

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Pfister, Olivier, Nicolas C. Menicucci, Steven T. Flammia, Hussain Zaidi, Russell Bloomer, and Matthew Pysher. "Playing the quantum harp: multipartite squeezing and entanglement of harmonic oscillators." In Integrated Optoelectronic Devices 2008, edited by Alan E. Craig and Selim M. Shahriar. SPIE, 2008. http://dx.doi.org/10.1117/12.762995.

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Xu, Yufeng, and Om P. Agrawal. "Numerical Solutions of Generalized Oscillator Equations." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12705.

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Harmonic oscillators play a fundamental role in many areas of science and engineering, such as classical mechanics, electronics, quantum physics, and others. As a result, harmonic oscillators have been studied extensively. Classical harmonic oscillators are defined using integer order derivatives. In recent years, fractional derivatives have been used to model the behaviors of damped systems more accurately. In this paper, we use three operators called K-, A- and B-operators to define the equation of motion of an oscillator. In contrast to fractional integral and derivative operators which use

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Vladimirov, Igor G., and Ian R. Petersen. "Directly coupled observers for quantum harmonic oscillators with discounted mean square cost functionals and penalized back-action*." In 2016 IEEE Conference on Norbert Wiener in the 21st Century (21CW). IEEE, 2016. http://dx.doi.org/10.1109/norbert.2016.7547464.

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Demiralp, Metin, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Quantum Dynamics of Multi Harmonic Oscillators Described by Time Variant Conic Hamiltonian and their Use in Contemporary Sciences." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498315.

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Vladimirov, Igor G., Matthew R. James, and Ian R. Petersen. "A Karhunen-Loeve Expansion for One-mode Open Quantum Harmonic Oscillators Using the Eigenbasis of the Two-point Commutator Kernel." In 2019 Australian & New Zealand Control Conference (ANZCC). IEEE, 2019. http://dx.doi.org/10.1109/anzcc47194.2019.8945608.

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Pereira, Emmanuel, Humberto C. F. Lemos, and Ricardo R. Ávila. "Onset of thermal rectification in graded mass systems: Analysis of the classic and quantum self-consistent harmonic chain of oscillators." In NONEQUILIBRIUM STATISTICAL PHYSICS TODAY: Proceedings of the 11th Granada Seminar on Computational and Statistical Physics. AIP, 2011. http://dx.doi.org/10.1063/1.3569509.

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Boye, Daniel, Larry Cain, Mario Belloni, Sarah Friedensen, Nancy Pruett, and Henry Brooks. "Quantum harmonic oscillator fluorescence." In 15th Conference on Education and Training in Optics and Photonics, ETOP 2019, edited by Anne-Sophie Poulin-Girard and Joseph A. Shaw. SPIE, 2019. http://dx.doi.org/10.1117/12.2523597.

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Reports on the topic "Quantum harmonic oscillators"

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Tang, J. Non-Markovian quantum Brownian motion of a harmonic oscillator. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10118416.

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Yeon, Kyu H., Thomas F. George, and Chung I. Um. Exact Solution of a Quantum Forced Time-Dependent Harmonic Oscillator. Defense Technical Information Center, 1991. http://dx.doi.org/10.21236/ada236633.

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