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Lindblad Superoperators from Wigner's Phase Space Continuity Equation

Quantum Physics 2025-01-13 v2

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.

Keywords

Cite

@article{arxiv.2307.16510,
  title  = {Lindblad Superoperators from Wigner's Phase Space Continuity Equation},
  author = {Ole Steuernagel and Ray-Kuang Lee},
  journal= {arXiv preprint arXiv:2307.16510},
  year   = {2025}
}

Comments

6 pages, 1 figure

R2 v1 2026-06-28T11:44:12.516Z