Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. A generalized Jaynes-Cummings model

The interaction of a two-level XY n-spin system with a two-mode cavity field is investigated through a generalized Jaynes-Cummings model in the rotating wave approximation. The spontaneous decay of a spin level was treated by considering the interaction of the two-level spin system with the modes of...

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Autor principal: Grinberg, H.
Formato: JOUR
Materias:
Field statistics
Non-classical effects
Quantum optics
Spin models
Two-level systems
Two-mode interaction
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_02179792_v22_n6_p599_Grinberg
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_02179792_v22_n6_p599_Grinberg2023-10-03T15:10:41Z Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. A generalized Jaynes-Cummings model Grinberg, H. Field statistics Non-classical effects Quantum optics Spin models Two-level systems Two-mode interaction The interaction of a two-level XY n-spin system with a two-mode cavity field is investigated through a generalized Jaynes-Cummings model in the rotating wave approximation. The spontaneous decay of a spin level was treated by considering the interaction of the two-level spin system with the modes of the universe in the vacuum state. The different cases of interest, characterized in terms of a detuning parameter for each mode, which emerge from the nonvanishing of certain commutation relations between interaction picture Hamiltonians associated with each mode, were analytically implemented and numerically discussed for various values of the initial mean photon number and spin-photon coupling constants. Photon distribution, time evolution of the spin population inversion, as well as the statistical properties of the field leading to the possible production of nonclassical states, such as antibunched light and violations of the Cauchy-Schwartz inequality are examined for an excited initial state. It was assumed that the two modes are initially in coherent states and have the same photon distribution. The case of zero detuning of both modes was treated in terms of a linearization of the expansion of the time evolution operator, while in other three cases, the computations were conducted via second- and third-order Dyson perturbation expansion of the time evolution operator matrix elements for the excited and ground states respectively. © 2008 World Scientific Publishing Company. Fil:Grinberg, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02179792_v22_n6_p599_Grinberg
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Field statistics
Non-classical effects
Quantum optics
Spin models
Two-level systems
Two-mode interaction
spellingShingle Field statistics
Non-classical effects
Quantum optics
Spin models
Two-level systems
Two-mode interaction
Grinberg, H.
Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. A generalized Jaynes-Cummings model
topic_facet Field statistics
Non-classical effects
Quantum optics
Spin models
Two-level systems
Two-mode interaction
description The interaction of a two-level XY n-spin system with a two-mode cavity field is investigated through a generalized Jaynes-Cummings model in the rotating wave approximation. The spontaneous decay of a spin level was treated by considering the interaction of the two-level spin system with the modes of the universe in the vacuum state. The different cases of interest, characterized in terms of a detuning parameter for each mode, which emerge from the nonvanishing of certain commutation relations between interaction picture Hamiltonians associated with each mode, were analytically implemented and numerically discussed for various values of the initial mean photon number and spin-photon coupling constants. Photon distribution, time evolution of the spin population inversion, as well as the statistical properties of the field leading to the possible production of nonclassical states, such as antibunched light and violations of the Cauchy-Schwartz inequality are examined for an excited initial state. It was assumed that the two modes are initially in coherent states and have the same photon distribution. The case of zero detuning of both modes was treated in terms of a linearization of the expansion of the time evolution operator, while in other three cases, the computations were conducted via second- and third-order Dyson perturbation expansion of the time evolution operator matrix elements for the excited and ground states respectively. © 2008 World Scientific Publishing Company.
format JOUR
author Grinberg, H.
author_facet Grinberg, H.
author_sort Grinberg, H.
title Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. A generalized Jaynes-Cummings model
title_short Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. A generalized Jaynes-Cummings model
title_full Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. A generalized Jaynes-Cummings model
title_fullStr Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. A generalized Jaynes-Cummings model
title_full_unstemmed Dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. A generalized Jaynes-Cummings model
title_sort dynamics and nonclassical photon statistics in the interaction of two-level spin systems with a two-mode cavity field. a generalized jaynes-cummings model
url http://hdl.handle.net/20.500.12110/paper_02179792_v22_n6_p599_Grinberg
work_keys_str_mv AT grinbergh dynamicsandnonclassicalphotonstatisticsintheinteractionoftwolevelspinsystemswithatwomodecavityfieldageneralizedjaynescummingsmodel
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