Correlation-Picture Approach to Open-Quantum-System Dynamics
We introduce a dynamical picture, referred to as correlation picture, which connects a correlated bipartite state to its uncorrelated counterpart. This picture allows us to derive an exact dynamical equation for a general open-system dynamics with system-environment correlations included. This exact...
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American Physical Society
2020
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oai:doaj.org-article:97275986a2764b0e9c379fb8d80a2d072021-12-02T12:23:11ZCorrelation-Picture Approach to Open-Quantum-System Dynamics10.1103/PhysRevX.10.0410242160-3308https://doaj.org/article/97275986a2764b0e9c379fb8d80a2d072020-11-01T00:00:00Zhttp://doi.org/10.1103/PhysRevX.10.041024http://doi.org/10.1103/PhysRevX.10.041024https://doaj.org/toc/2160-3308We introduce a dynamical picture, referred to as correlation picture, which connects a correlated bipartite state to its uncorrelated counterpart. This picture allows us to derive an exact dynamical equation for a general open-system dynamics with system-environment correlations included. This exact dynamics is in the form of a Lindblad-like equation even in the presence of initial system-environment correlations. For explicit calculations, we also develop a weak-correlation expansion that allows us to introduce systematic perturbative approximations. This expansion provides approximate master equations that can feature advantages over existing weak-coupling techniques. As a special case, we derive a Markovian master equation, which is different from existing approaches. We compare our equations with corresponding standard weak-coupling equations using two examples, for which our correlation-picture formalism is more accurate, or at least as accurate as the weak-coupling equations.S. AlipourA. T. RezakhaniA. P. BabuK. MølmerM. MöttönenT. Ala-NissilaAmerican Physical SocietyarticlePhysicsQC1-999ENPhysical Review X, Vol 10, Iss 4, p 041024 (2020) |
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Physics QC1-999 |
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Physics QC1-999 S. Alipour A. T. Rezakhani A. P. Babu K. Mølmer M. Möttönen T. Ala-Nissila Correlation-Picture Approach to Open-Quantum-System Dynamics |
description |
We introduce a dynamical picture, referred to as correlation picture, which connects a correlated bipartite state to its uncorrelated counterpart. This picture allows us to derive an exact dynamical equation for a general open-system dynamics with system-environment correlations included. This exact dynamics is in the form of a Lindblad-like equation even in the presence of initial system-environment correlations. For explicit calculations, we also develop a weak-correlation expansion that allows us to introduce systematic perturbative approximations. This expansion provides approximate master equations that can feature advantages over existing weak-coupling techniques. As a special case, we derive a Markovian master equation, which is different from existing approaches. We compare our equations with corresponding standard weak-coupling equations using two examples, for which our correlation-picture formalism is more accurate, or at least as accurate as the weak-coupling equations. |
format |
article |
author |
S. Alipour A. T. Rezakhani A. P. Babu K. Mølmer M. Möttönen T. Ala-Nissila |
author_facet |
S. Alipour A. T. Rezakhani A. P. Babu K. Mølmer M. Möttönen T. Ala-Nissila |
author_sort |
S. Alipour |
title |
Correlation-Picture Approach to Open-Quantum-System Dynamics |
title_short |
Correlation-Picture Approach to Open-Quantum-System Dynamics |
title_full |
Correlation-Picture Approach to Open-Quantum-System Dynamics |
title_fullStr |
Correlation-Picture Approach to Open-Quantum-System Dynamics |
title_full_unstemmed |
Correlation-Picture Approach to Open-Quantum-System Dynamics |
title_sort |
correlation-picture approach to open-quantum-system dynamics |
publisher |
American Physical Society |
publishDate |
2020 |
url |
https://doaj.org/article/97275986a2764b0e9c379fb8d80a2d07 |
work_keys_str_mv |
AT salipour correlationpictureapproachtoopenquantumsystemdynamics AT atrezakhani correlationpictureapproachtoopenquantumsystemdynamics AT apbabu correlationpictureapproachtoopenquantumsystemdynamics AT kmølmer correlationpictureapproachtoopenquantumsystemdynamics AT mmottonen correlationpictureapproachtoopenquantumsystemdynamics AT talanissila correlationpictureapproachtoopenquantumsystemdynamics |
_version_ |
1718394467332915200 |