A study of the quantum correlations in a Tavis-Cummings System

1 recurso en línea (páginas 41-50).

Autores:

Tipo de recurso:: article

Fecha de publicación:: 2018

Institución:: Universidad Pedagógica y Tecnológica de Colombia

Repositorio:: RiUPTC: Repositorio Institucional UPTC

Idioma:: eng

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dc.title.none.fl_str_mv	A study of the quantum correlations in a Tavis-Cummings System Estudio de correlaciones cuánticas en un sistema Tavis-Cumming
title	A study of the quantum correlations in a Tavis-Cummings System
spellingShingle	A study of the quantum correlations in a Tavis-Cummings System Madrid Usuga, Duvalier Modelo de Tavis-Cummings Optica cuántica - Modelos matemáticos Decoherencia (Física) Entreveramiento (Física) Open Quantum Systems Master equation Tavis-Cummings Model Quantum Correlations Concurrence Mutual Information Quantum Discord
title_short	A study of the quantum correlations in a Tavis-Cummings System
title_full	A study of the quantum correlations in a Tavis-Cummings System
title_fullStr	A study of the quantum correlations in a Tavis-Cummings System
title_full_unstemmed	A study of the quantum correlations in a Tavis-Cummings System
title_sort	A study of the quantum correlations in a Tavis-Cummings System
dc.creator.none.fl_str_mv	Madrid Usuga, Duvalier Villamil Barrios, Pablo Emilio
author	Madrid Usuga, Duvalier
author_facet	Madrid Usuga, Duvalier Villamil Barrios, Pablo Emilio
author_role	author
author2	Villamil Barrios, Pablo Emilio
author2_role	author
dc.subject.none.fl_str_mv	Modelo de Tavis-Cummings Optica cuántica - Modelos matemáticos Decoherencia (Física) Entreveramiento (Física) Open Quantum Systems Master equation Tavis-Cummings Model Quantum Correlations Concurrence Mutual Information Quantum Discord
topic	Modelo de Tavis-Cummings Optica cuántica - Modelos matemáticos Decoherencia (Física) Entreveramiento (Física) Open Quantum Systems Master equation Tavis-Cummings Model Quantum Correlations Concurrence Mutual Information Quantum Discord
description	1 recurso en línea (páginas 41-50).
publishDate	2018
dc.date.none.fl_str_mv	2018-09-06T14:45:05Z 2018-09-06T14:45:05Z 2018-02-18
dc.type.none.fl_str_mv	Artículo de revista http://purl.org/coar/resource_type/c_6501 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Text https://purl.org/redcol/resource_type/ART http://purl.org/coar/version/c_970fb48d4fbd8a85
format	article
status_str	publishedVersion
dc.identifier.none.fl_str_mv	Madrid Usuga, D. & Villamil Barrios, P. E. (2018). A Study of the Quantum Correlations in a Tavis-Cummings System. Ciencia en Desarrollo, 9(1), 41-50. https://doi.org/10.19053/01217488.v9.n1.2018.7232.http://repositorio.uptc.edu.co/handle/001/2150 2462-7658 http://repositorio.uptc.edu.co/handle/001/2150 10.19053/01217488.v9.n1.2018.7232
identifier_str_mv	Madrid Usuga, D. & Villamil Barrios, P. E. (2018). A Study of the Quantum Correlations in a Tavis-Cummings System. Ciencia en Desarrollo, 9(1), 41-50. https://doi.org/10.19053/01217488.v9.n1.2018.7232.http://repositorio.uptc.edu.co/handle/001/2150 2462-7658 10.19053/01217488.v9.n1.2018.7232
url	http://repositorio.uptc.edu.co/handle/001/2150
dc.language.none.fl_str_mv	eng
language	eng
dc.relation.none.fl_str_mv	N. Gershenfeld and I. L. Chuang, “Quantum computing with molecules,” Scientific American, vol. 278, no. 6, pp. 66–71, 1998. P. Benioff, “The computer as a physical system: A microscopic quantum mechanical hamiltonian model of computers as represented by turing machines,” Journal of statistical physics, vol. 22, no. 5, pp. 563– 591, 1980. Y. Manin, “Computable and uncomputable,” R. P. Feynman, “Simulating physics with computers,” International journal of theoretical physics, vol. 21, no. 6, pp. 467– 488, 1982. D. Deutsch, “Quantum theory, the churchturing principle and the universal quantum computer,” in Proceedings of the Royal Society of London A: Mathematical, Physical and Engi- neering Sciences, vol. 400, pp. 97–117, The Royal Society, 1985. D. Finkelstein, “Space-time structure in high energy interactions,” 1969. E. Gershon, “New qubit control bodes well for future of quantum computing,” Phys. org, 2014. F. Dimer, B. Estienne, A. Parkins, and H. Carmichael, “Proposed realization of the dickemodel quantum phase transition in an optical cavity qed system,” Physical Review A, vol. 75, no. 1, p. 013804, 2007. H. Ollivier and W. H. Zurek, “Quantum discord: a measure of the quantumness of correlations,” Physical review letters, vol. 88, no. 1, p. 017901, 2001. L. Henderson and V. Vedral, “Classical, quantum and total correlations,” Journal of physics A: mathematical and general, vol. 34, no. 35, p. 6899, 2001. Y.-J. Zhang, X.-B. Zou, Y.-J. Xia, and G.C. Guo, “Quantum discord dynamics in the presence of initial system–cavity correlations,” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 44, no. 3, p. 035503, 2011. A. Faraon, I. Fushman, D. Englund, N. Stoltz, P. Petroff, and J. Vuckovic, “Coherent generation of nonclassical light on a chip via photoninduced tunneling and blockade,” arXiv preprint arXiv:0804.2740, 2008. A. Faraon, A. Majumdar, and J. Vuckovic, “Generation of nonclassical states of light via photon blockade in optical nanocavities,” Physical Review A, vol. 81, no. 3, p. 033838, 2010. W. K. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Physical Review Letters, vol. 80, no. 10, p. 2245, 1998. S. Luo, “Quantum discord for two-qubit systems,” Physical Review A, vol. 77, no. 4, p. 042303, 2008. X.-Q. Yan and Z.-L. Yue, “Correlated relation between quantum discord and entanglement of two-atom in thermal reservoirs,” Journal of Atomic and Molecular Physics, vol. 2014, 2014. J. Kasprzak, Condensation of exciton polaritons. PhD thesis, Université Joseph- Fourier- Grenoble I, 2006. F. Fanchini, L. Castelano, M. Cornelio, and M. De Oliveira, “Locally inaccessible informa tion as a fundamental ingredient to quantum information,” New Journal of Physics, vol. 14, no. 1, p. 013027, 2012. C. Zu, Y. Wang, X. Chang, Z. Wei, S. Zhang, and L. Duan, “Experimental demonstration of quantum gain in a zero-sum game,” New Journal of Physics, vol. 14, no. 3, p. 033002, 2012. Ciencia en Desarrollo;Volumen 9, número 1 (Enero-Junio 2018)
dc.rights.none.fl_str_mv	Copyright (c) 2018 Universidad Pedagógica y Tecnológica de Colombia https://creativecommons.org/licenses/by-nc/4.0/ info:eu-repo/semantics/openAccess Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0) http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv	Copyright (c) 2018 Universidad Pedagógica y Tecnológica de Colombia https://creativecommons.org/licenses/by-nc/4.0/ Atribución-NoComercial 4.0 Internacional (CC BY-NC 4.0) http://purl.org/coar/access_right/c_abf2
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dc.publisher.none.fl_str_mv	Universidad Pedagógica y Tecnológica de Colombia
publisher.none.fl_str_mv	Universidad Pedagógica y Tecnológica de Colombia
dc.source.none.fl_str_mv	https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/7232/pdf reponame:RiUPTC: Repositorio Institucional UPTC instname:Universidad Pedagógica y Tecnológica de Colombia instacron:Universidad Pedagógica y Tecnológica de Colombia
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spelling	A study of the quantum correlations in a Tavis-Cummings SystemEstudio de correlaciones cuánticas en un sistema Tavis-CummingMadrid Usuga, DuvalierVillamil Barrios, Pablo EmilioModelo de Tavis-CummingsOptica cuántica - Modelos matemáticosDecoherencia (Física)Entreveramiento (Física)Open Quantum SystemsMaster equationTavis-Cummings ModelQuantum CorrelationsConcurrenceMutual InformationQuantum Discord1 recurso en línea (páginas 41-50).Se estudian las correlaciones cuánticas de dos qubits en una microcavidad con disipación y un solo modo cuantificado del campo electromagnético interactuado con ella. Para estudiar nuestro sistema físico, se utiliza el modelo de Tavis-Cummings y el formalismo de la ecuación maestra del operador de densidad bajo las aproximaciones de Born-Markov. El modo de cavidad estará acoplado con un láser pulsado externo y la ecuación maestra del operador de densidad que describe la evolución del sistema será resuelta numéricamente. La concurrencia, la información mutua cuántica y la discordancia cuántica se determinan para el sistema de dos qubits. Las correlaciones se estudian como una función de la cantidad adimensional τ = gt cuando la intensidad de acoplamiento cavidad láser varía, y se consideran dos condiciones iniciales en el régimen de acoplamiento débil en los que se estudió la evolución dinámica de estas correlaciones.The quantum correlations of two qubits in a microcavity with dissipation and a single quantized mode of the electromagnetic field are studied. In order to study our physical system, the Tavis-Cummings model and the formalism of the master equation of the density operator under the Born-Markov approximations will be used. The cavity mode will be coupled with an external pulsed laser and the master equation of the density operator that describes the evolution of the system will be solved numerically. The concurrence, the quantum mutual information, and the quantum discord are determined for the system of two qubits. The correlations are studied as a function of the dimensionless quantity τ = gt when the intensity of the laser cavity coupling varies, and two initial conditions are considered in the weak coupling regime in which the dynamic evolution of these correlations was studied.Bibliografía: páginas 49-50.Universidad Pedagógica y Tecnológica de Colombia2018-09-06T14:45:05Z2018-09-06T14:45:05Z2018-02-18Artículo de revistahttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTexthttps://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85application/pdfapplication/pdfMadrid Usuga, D. & Villamil Barrios, P. E. (2018). A Study of the Quantum Correlations in a Tavis-Cummings System. Ciencia en Desarrollo, 9(1), 41-50. https://doi.org/10.19053/01217488.v9.n1.2018.7232.http://repositorio.uptc.edu.co/handle/001/21502462-7658http://repositorio.uptc.edu.co/handle/001/215010.19053/01217488.v9.n1.2018.7232https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/7232/pdfreponame:RiUPTC: Repositorio Institucional UPTCinstname:Universidad Pedagógica y Tecnológica de Colombiainstacron:Universidad Pedagógica y Tecnológica de ColombiaengN. Gershenfeld and I. L. Chuang, “Quantum computing with molecules,” Scientific American, vol. 278, no. 6, pp. 66–71, 1998.P. Benioff, “The computer as a physical system: A microscopic quantum mechanical hamiltonian model of computers as represented by turing machines,” Journal of statistical physics, vol. 22, no. 5, pp. 563– 591, 1980.Y. Manin, “Computable and uncomputable,”R. P. Feynman, “Simulating physics with computers,” International journal of theoretical physics, vol. 21, no. 6, pp. 467– 488, 1982.D. Deutsch, “Quantum theory, the churchturing principle and the universal quantum computer,” in Proceedings of the Royal Society of London A: Mathematical, Physical and Engi- neering Sciences, vol. 400, pp. 97–117, The Royal Society, 1985.D. Finkelstein, “Space-time structure in high energy interactions,” 1969.E. Gershon, “New qubit control bodes well for future of quantum computing,” Phys. org, 2014.F. Dimer, B. Estienne, A. Parkins, and H. Carmichael, “Proposed realization of the dickemodel quantum phase transition in an optical cavity qed system,” Physical Review A, vol. 75, no. 1, p. 013804, 2007.H. Ollivier and W. H. Zurek, “Quantum discord: a measure of the quantumness of correlations,” Physical review letters, vol. 88, no. 1, p. 017901, 2001.L. Henderson and V. Vedral, “Classical, quantum and total correlations,” Journal of physics A: mathematical and general, vol. 34, no. 35, p. 6899, 2001.Y.-J. Zhang, X.-B. Zou, Y.-J. Xia, and G.C. Guo, “Quantum discord dynamics in the presence of initial system–cavity correlations,” Journal of Physics B: Atomic, Molecular and Optical Physics, vol. 44, no. 3, p. 035503, 2011.A. Faraon, I. Fushman, D. Englund, N. Stoltz, P. Petroff, and J. Vuckovic, “Coherent generation of nonclassical light on a chip via photoninduced tunneling and blockade,” arXiv preprint arXiv:0804.2740, 2008.A. Faraon, A. Majumdar, and J. Vuckovic, “Generation of nonclassical states of light via photon blockade in optical nanocavities,” Physical Review A, vol. 81, no. 3, p. 033838, 2010.W. K. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Physical Review Letters, vol. 80, no. 10, p. 2245, 1998.S. Luo, “Quantum discord for two-qubit systems,” Physical Review A, vol. 77, no. 4, p. 042303, 2008.X.-Q. Yan and Z.-L. Yue, “Correlated relation between quantum discord and entanglement of two-atom in thermal reservoirs,” Journal of Atomic and Molecular Physics, vol. 2014, 2014.J. Kasprzak, Condensation of exciton polaritons. PhD thesis, Université Joseph- Fourier- Grenoble I, 2006.F. Fanchini, L. Castelano, M. Cornelio, and M. De Oliveira, “Locally inaccessible informa tion as a fundamental ingredient to quantum information,” New Journal of Physics, vol. 14, no. 1, p. 013027, 2012.C. Zu, Y. Wang, X. Chang, Z. Wei, S. Zhang, and L. Duan, “Experimental demonstration of quantum gain in a zero-sum game,” New Journal of Physics, vol. 14, no. 3, p. 033002, 2012.Ciencia en Desarrollo;Volumen 9, número 1 (Enero-Junio 2018)Copyright (c) 2018 Universidad Pedagógica y Tecnológica de Colombiahttps://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)http://purl.org/coar/access_right/c_abf22024-11-21T15:20:17Z

A study of the quantum correlations in a Tavis-Cummings System

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