Lindblad superoperators from Wigner’s phase space continuity equation

For a simple quantum system weakly interacting with the environment, Wigner’s 1932 formulation of quantum physics can be used to derive coupling to the environment using simple algebra. We show that the correct expressions, using coupling terms of “Lindblad form,” are forced upon us. This is remarka...

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Bibliographic Details
Main Authors: Ole Steuernagel, Ray-Kuang Lee
Format: Article
Language:English
Published: AIP Publishing LLC 2025-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0244814
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Summary:For a simple quantum system weakly interacting with the environment, Wigner’s 1932 formulation of quantum physics can be used to derive coupling to the environment using simple algebra. We show that the correct expressions, using coupling terms of “Lindblad form,” are forced upon us. This is remarkable given that it took several decades before Lindblad’s result was found in 1976.
ISSN:2158-3226