Dynamics of Gaussian discord between two oscillators interacting with a common environment
We analyze the evolution of the Gaussian discord between two resonant harmonic oscillators coupled to a common environment. For this, we use the same tools we applied before to fully characterize the evolution of the entanglement in this system. The asymptotic value of Gaussian discord is obtained a...
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v85_n3_p_Freitas http://hdl.handle.net/20.500.12110/paper_10502947_v85_n3_p_Freitas |
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paper:paper_10502947_v85_n3_p_Freitas2023-06-08T16:02:42Z Dynamics of Gaussian discord between two oscillators interacting with a common environment Paz, Juan Pablo Asymptotic values Common environment Dynamical phasis Extraction of information Gaussian measurements Gaussians Heterodyne measurement High-temperature regime Homodynes Initial state Non-decreasing functions Parameters characterizing Resonant harmonics Two oscillators Phase diagrams Gaussian distribution We analyze the evolution of the Gaussian discord between two resonant harmonic oscillators coupled to a common environment. For this, we use the same tools we applied before to fully characterize the evolution of the entanglement in this system. The asymptotic value of Gaussian discord is obtained as a function of parameters characterizing the environment (temperature, couplings, etc.) and the initial state of the system (initial squeezing, initial purity, etc.) The type of Gaussian measurement optimizing the extraction of information between the oscillators is fully characterized by means of a phase diagram. Such a diagram (with phases corresponding to homodyne or heterodyne measurements) has similar topology to the one describing dynamical phases for the entanglement. We present evidence pointing to the fact that Gaussian discord is not always a good approximation of true discord as the asymptotic value of the former is shown to be a nondecreasing function of temperature (in the high-temperature regime), reaching an asymptotic value of ln(2) for a pure initial state (and lower values for mixed initial states). © 2012 American Physical Society. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v85_n3_p_Freitas http://hdl.handle.net/20.500.12110/paper_10502947_v85_n3_p_Freitas |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Asymptotic values Common environment Dynamical phasis Extraction of information Gaussian measurements Gaussians Heterodyne measurement High-temperature regime Homodynes Initial state Non-decreasing functions Parameters characterizing Resonant harmonics Two oscillators Phase diagrams Gaussian distribution |
| spellingShingle |
Asymptotic values Common environment Dynamical phasis Extraction of information Gaussian measurements Gaussians Heterodyne measurement High-temperature regime Homodynes Initial state Non-decreasing functions Parameters characterizing Resonant harmonics Two oscillators Phase diagrams Gaussian distribution Paz, Juan Pablo Dynamics of Gaussian discord between two oscillators interacting with a common environment |
| topic_facet |
Asymptotic values Common environment Dynamical phasis Extraction of information Gaussian measurements Gaussians Heterodyne measurement High-temperature regime Homodynes Initial state Non-decreasing functions Parameters characterizing Resonant harmonics Two oscillators Phase diagrams Gaussian distribution |
| description |
We analyze the evolution of the Gaussian discord between two resonant harmonic oscillators coupled to a common environment. For this, we use the same tools we applied before to fully characterize the evolution of the entanglement in this system. The asymptotic value of Gaussian discord is obtained as a function of parameters characterizing the environment (temperature, couplings, etc.) and the initial state of the system (initial squeezing, initial purity, etc.) The type of Gaussian measurement optimizing the extraction of information between the oscillators is fully characterized by means of a phase diagram. Such a diagram (with phases corresponding to homodyne or heterodyne measurements) has similar topology to the one describing dynamical phases for the entanglement. We present evidence pointing to the fact that Gaussian discord is not always a good approximation of true discord as the asymptotic value of the former is shown to be a nondecreasing function of temperature (in the high-temperature regime), reaching an asymptotic value of ln(2) for a pure initial state (and lower values for mixed initial states). © 2012 American Physical Society. |
| author |
Paz, Juan Pablo |
| author_facet |
Paz, Juan Pablo |
| author_sort |
Paz, Juan Pablo |
| title |
Dynamics of Gaussian discord between two oscillators interacting with a common environment |
| title_short |
Dynamics of Gaussian discord between two oscillators interacting with a common environment |
| title_full |
Dynamics of Gaussian discord between two oscillators interacting with a common environment |
| title_fullStr |
Dynamics of Gaussian discord between two oscillators interacting with a common environment |
| title_full_unstemmed |
Dynamics of Gaussian discord between two oscillators interacting with a common environment |
| title_sort |
dynamics of gaussian discord between two oscillators interacting with a common environment |
| publishDate |
2012 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v85_n3_p_Freitas http://hdl.handle.net/20.500.12110/paper_10502947_v85_n3_p_Freitas |
| work_keys_str_mv |
AT pazjuanpablo dynamicsofgaussiandiscordbetweentwooscillatorsinteractingwithacommonenvironment |
| _version_ |
1768545201002905600 |