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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2009
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v79_n3_p_Paz http://hdl.handle.net/20.500.12110/paper_10502947_v79_n3_p_Paz |
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paper:paper_10502947_v79_n3_p_Paz2023-06-08T16:02:31Z Dynamical phases for the evolution of the entanglement between two oscillators coupled to the same environment Paz, Juan Pablo Roncaglia, Augusto José 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. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v79_n3_p_Paz 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, Juan Pablo Roncaglia, Augusto José 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. |
| author |
Paz, Juan Pablo Roncaglia, Augusto José |
| author_facet |
Paz, Juan Pablo Roncaglia, Augusto José |
| author_sort |
Paz, Juan Pablo |
| 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 |
| publishDate |
2009 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v79_n3_p_Paz http://hdl.handle.net/20.500.12110/paper_10502947_v79_n3_p_Paz |
| work_keys_str_mv |
AT pazjuanpablo dynamicalphasesfortheevolutionoftheentanglementbetweentwooscillatorscoupledtothesameenvironment AT roncagliaaugustojose dynamicalphasesfortheevolutionoftheentanglementbetweentwooscillatorscoupledtothesameenvironment |
| _version_ |
1768544969536045056 |