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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Autores principales: S. Alipour, A. T. Rezakhani, A. P. Babu, K. Mølmer, M. Möttönen, T. Ala-Nissila
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Publicado: American Physical Society 2020
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle 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
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