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Correlation-picture approach to open-quantum-system dynamics

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journal contribution
posted on 18.11.2020, 16:36 by S Alipour, AT Rezakhani, AP Babu, K Mølmer, M Möttönen, Tapio Ala-NissilaTapio Ala-Nissila
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Physical Review X

Volume

10

Issue

4

Publisher

American Physical Society

Version

VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access Article. It is published by the American Physical Society under the Creative Commons Attribution 4.0 International Licence (CC BY 4.0). Full details of this licence are available at: https://creativecommons.org/licenses/by/4.0/

Acceptance date

01/09/2020

Publication date

2020-11-03

Copyright date

2020

ISSN

2160-3308

eISSN

2160-3308

Language

en

Depositor

Prof Tapio Ala-Nissila. Deposit date: 16 November 2020

Article number

041024

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