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Correlation-Picture approach to open-quantum-system dynamics

Alipour, S ; Sharif University of Technology | 2020

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevX.10.041024
  3. Publisher: American Physical Society , 2020
  4. Abstract:
  5. 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. © 2020 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI
  6. Keywords:
  7. Expansion ; System theory ; Bipartite state ; Dynamical equation ; Markovian master equation ; Master equations ; Open quantum systems ; System Dynamics ; System environment ; Weak correlation ; Markov processes
  8. Source: Physical Review X ; Volume 10, Issue 4 , 2020
  9. URL: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.041024