Relativistic GKLS master equation?
Quantum Physics
2022-11-09 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
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 It remained unpublished.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.
Cite
@article{arxiv.2206.05701,
title = {Relativistic GKLS master equation?},
author = {Lajos Diósi},
journal= {arXiv preprint arXiv:2206.05701},
year = {2022}
}
Comments
4pp, Fig. with explanation added