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Is there a relativistic Gorini-Kossakowski-Lindblad-Sudarshan master equation?

Lajos Diósi*

  • Wigner Research Centre for Physics, 114, P. O. Box 49, H-1525 Budapest, Hungary and Eötvös Loránd University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary

  • *Corresponding author. diosi.lajos@wigner.hu

Phys. Rev. D 106, L051901 – Published 12 September, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L051901

Abstract

The celebrated GKLS master equation, widely called just the Lindblad equation, is the universal dynamical equation of nonrelativistic open quantum systems in their Markovian approximation. It is not necessary and perhaps impossible that GKLS equations possess sensible relativistic forms. In 2017, in a lucid talk on black hole information loss paradox, David Poulin argued for a Lorentz invariant GKLS master equation proposed by Alicki, Fannes, and Verbeure in 1986. The equation is really puzzling. A closer look uncovers a smartly hidden defect that leaves us without Lorentz invariant Markovian master equations. They, in view of the present author, should not exist.

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