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Main Authors: Babu, A. P., Alipour, S., Rezakhani, A. T., Ala-Nissila, T.
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2104.04248
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author Babu, A. P.
Alipour, S.
Rezakhani, A. T.
Ala-Nissila, T.
author_facet Babu, A. P.
Alipour, S.
Rezakhani, A. T.
Ala-Nissila, T.
contents Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that mask dependence of the system dynamics on correlations, since the MEs focus on reduced system dynamics. Here we demonstrate that the most common MEs indeed contain hidden information about explicit system-environment correlation. We unfold these correlations by recasting the MEs into a universal form in which the system-bath correlation operator appears. The equations include the Lindblad, Redfield, second-order time-convolutionless, second-order Nakajima-Zwanzig, and second-order universal Lindblad-like cases. We further illustrate our results in an example, which implies that the second-order universal Lindblad-like equation captures correlation more accurately than other standard techniques.
format Preprint
id arxiv_https___arxiv_org_abs_2104_04248
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation
Babu, A. P.
Alipour, S.
Rezakhani, A. T.
Ala-Nissila, T.
Quantum Physics
Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that mask dependence of the system dynamics on correlations, since the MEs focus on reduced system dynamics. Here we demonstrate that the most common MEs indeed contain hidden information about explicit system-environment correlation. We unfold these correlations by recasting the MEs into a universal form in which the system-bath correlation operator appears. The equations include the Lindblad, Redfield, second-order time-convolutionless, second-order Nakajima-Zwanzig, and second-order universal Lindblad-like cases. We further illustrate our results in an example, which implies that the second-order universal Lindblad-like equation captures correlation more accurately than other standard techniques.
title Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation
topic Quantum Physics
url https://arxiv.org/abs/2104.04248