Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment

We study the dynamics of the entanglement between two oscillators that are initially prepared in a general two-mode Gaussian state and evolve while coupled to the same environment. In a previous paper, we showed that there are three qualitatively different dynamical phases for the entanglement in th...

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Detalles Bibliográficos
Autores principales:	Paz, J.P., Roncaglia, A.J.
Formato:	JOUR
Materias:	Dynamical phasis General spectral Initial state Non-resonant Sudden deaths Two oscillators Two-mode Gaussian state Very low temperatures
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10502947_v79_n3_p_Paz
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_10502947_v79_n3_p_Paz
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spelling	todo:paper_10502947_v79_n3_p_Paz2023-10-03T16:00:01Z Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment Paz, J.P. Roncaglia, A.J. Dynamical phasis General spectral Initial state Non-resonant Sudden deaths Two oscillators Two-mode Gaussian state Very low temperatures We study the dynamics of the entanglement between two oscillators that are initially prepared in a general two-mode Gaussian state and evolve while coupled to the same environment. In a previous paper, we showed that there are three qualitatively different dynamical phases for the entanglement in the long-time limit: sudden death, sudden death and revival, and no sudden death. Here we generalize and extend those results along several directions: We analyze the fate of entanglement for an environment with a general spectral density providing a complete characterization of the evolution for Ohmic, sub-Ohmic, and super-Ohmic environments. We consider two different models for the interaction between the system and the environment (one where the coupling is through position and another where the coupling is symmetric in position and momentum). Finally, we show that for nonresonant oscillators, the final entanglement is independent of the initial state and may be nonzero at very low temperatures. © 2009 The American Physical Society. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Roncaglia, A.J. 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_10502947_v79_n3_p_Paz
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Dynamical phasis General spectral Initial state Non-resonant Sudden deaths Two oscillators Two-mode Gaussian state Very low temperatures
spellingShingle	Dynamical phasis General spectral Initial state Non-resonant Sudden deaths Two oscillators Two-mode Gaussian state Very low temperatures Paz, J.P. Roncaglia, A.J. Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
topic_facet	Dynamical phasis General spectral Initial state Non-resonant Sudden deaths Two oscillators Two-mode Gaussian state Very low temperatures
description	We study the dynamics of the entanglement between two oscillators that are initially prepared in a general two-mode Gaussian state and evolve while coupled to the same environment. In a previous paper, we showed that there are three qualitatively different dynamical phases for the entanglement in the long-time limit: sudden death, sudden death and revival, and no sudden death. Here we generalize and extend those results along several directions: We analyze the fate of entanglement for an environment with a general spectral density providing a complete characterization of the evolution for Ohmic, sub-Ohmic, and super-Ohmic environments. We consider two different models for the interaction between the system and the environment (one where the coupling is through position and another where the coupling is symmetric in position and momentum). Finally, we show that for nonresonant oscillators, the final entanglement is independent of the initial state and may be nonzero at very low temperatures. © 2009 The American Physical Society.
format	JOUR
author	Paz, J.P. Roncaglia, A.J.
author_facet	Paz, J.P. Roncaglia, A.J.
author_sort	Paz, J.P.
title	Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
title_short	Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
title_full	Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
title_fullStr	Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
title_full_unstemmed	Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
title_sort	dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment
url	http://hdl.handle.net/20.500.12110/paper_10502947_v79_n3_p_Paz
work_keys_str_mv	AT pazjp dynamicalphasesfortheevolutionoftheentanglementbetweentwooscillatorscoupledtothesameenvironment AT roncagliaaj dynamicalphasesfortheevolutionoftheentanglementbetweentwooscillatorscoupledtothesameenvironment
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Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment

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