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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-11-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.10.041024 |
| _version_ | 1818429468644999168 |
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| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-14T15:18:00Z |
| format | Article |
| id | doaj.art-97275986a2764b0e9c379fb8d80a2d07 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-14T15:18:00Z |
| publishDate | 2020-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-97275986a2764b0e9c379fb8d80a2d072022-12-21T22:56:15ZengAmerican Physical SocietyPhysical Review X2160-33082020-11-0110404102410.1103/PhysRevX.10.041024Correlation-Picture Approach to Open-Quantum-System DynamicsS. AlipourA. T. RezakhaniA. P. BabuK. MølmerM. MöttönenT. Ala-NissilaWe 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.http://doi.org/10.1103/PhysRevX.10.041024 |
| spellingShingle | S. Alipour A. T. Rezakhani A. P. Babu K. Mølmer M. Möttönen T. Ala-Nissila Correlation-Picture Approach to Open-Quantum-System Dynamics Physical Review X |
| title | 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_short | Correlation-Picture Approach to Open-Quantum-System Dynamics |
| title_sort | correlation picture approach to open quantum system dynamics |
| url | http://doi.org/10.1103/PhysRevX.10.041024 |
| work_keys_str_mv | AT salipour correlationpictureapproachtoopenquantumsystemdynamics AT atrezakhani correlationpictureapproachtoopenquantumsystemdynamics AT apbabu correlationpictureapproachtoopenquantumsystemdynamics AT kmølmer correlationpictureapproachtoopenquantumsystemdynamics AT mmottonen correlationpictureapproachtoopenquantumsystemdynamics AT talanissila correlationpictureapproachtoopenquantumsystemdynamics |