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
Formato: article
Lenguaje:EN
Publicado: American Physical Society 2020
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Acceso en línea:https://doaj.org/article/97275986a2764b0e9c379fb8d80a2d07
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Sumario: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.