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 remarkable given that it took several decades before Lindblad’s result was found in 1976.

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Publication Details

Journal
AIP Advances
Published
2025-01-01
DOI
https://doi.org/10.1063/5.0244814
Citations
1
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
2.48

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article

Lindblad superoperators from Wigner’s phase space continuity equation

Ray‐Kuang Lee, Ole Steuernagel
1 citations
AIP Advances
Quantum Information and Cryptography
2.48
article

Lindblad superoperators from Wigner’s phase space continuity equation

Ray‐Kuang Lee, Ole Steuernagel
article en
1 citations

Abstract

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.

AIP AdvancesVol. 15(1)
National Tsing Hua University (TW)
National Science and Technology Council, Institute for Cosmic Ray Research, University of Tokyo, Office of Naval Research, Army Research Office, Office of Naval Research Global
Openalex Percentile: Top 12%
Quantum Information and Cryptography
2.48
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