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Babu_Correlations-in-Master-Equations_PhysRevResearch.6.(2024).013243.pdf (5.87 MB)

Unfolding system-environment correlation in open quantum systems: Revisiting master equations and the Born approximation

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posted on 2024-03-07, 17:25 authored by AP Babu, Sahar Alipour, AT Rezakhani, Tapio Ala-NissilaTapio Ala-Nissila

Understanding system-environment correlations in open quantum systems is vital for various quantum information and technology applications. However, these correlations are often overlooked or hidden in derivations of open-quantum-system master equations, especially when applying the Born approximation. To address this issue, given a microscopic model, we demonstrate how to retain system-environment correlation within commonly used master equations, such as the Markovian Lindblad, Redfield, second-order time convolutionless, second-order Nakajima-Zwanzig, and second-order universal Lindblad-like equations. We show that each master equation corresponds to a particular approximation on the system-environment correlation operator. In particular, our analysis exposes the form of the hidden system-environment correlation in the Markovian Lindblad equation derived using the Born approximation. We also identify that the processes leading to the Redfield equation yield an inaccurate initial-time system-environment correlation approximation. By fixing this problem, we propose a corrected Redfield equation with an improved prediction for early stages of the time evolution. We further illustrate our results in two examples, which imply that the second-order universal Lindblad-like equation captures correlation more accurately than the other standard master equations. 

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Phyiscal Review Research

Volume

6

Issue

1

Publisher

American Physical Society

Version

  • VoR (Version of Record)

Rights holder

© The Authors

Publisher statement

This is an Open Access article. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license (https://creativecommons.org/licenses/by/4.0/). Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Acceptance date

2024-02-07

Publication date

2024-03-05

Copyright date

2024

eISSN

2643-1564

Language

  • en

Depositor

Prof Tapio Ala-Nissila. Deposit date: 5 March 2024

Article number

013243

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