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arXiv · 2206.05701

Relativistic GKLS master equation?

Lajos Diósi
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Abstract

The celebrated GKLS master equation, widely called just Lindblad equation, is the universal dynamical equation of non-relativistic open quantum systems in their Markovian approximation. It is not necessary and perhaps impossible that GKLS equations possess sensible relativistic forms. In a lucid talk on black hole information loss paradox, David Poulin conjectured a Lorentz invariant GKLS master equation. It remained unpublished. Poulin passed away at heights of his activity. But the equation is really puzzling. A closer look uncovers a smartly hidden defect which leaves us without Lorentz invariant Markovian master equations. They, in view of the present author, should not exist.

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Lajos Diósi. 2022-06-12. Relativistic GKLS master equation?. https://doi.org/10.1103/physrevd.106.l051901

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