Non-Hermitian physics and master equations
Quantum Physics
2022-09-07 v1
Abstract
A longstanding tool to characterize the evolution of open Markovian quantum systems is the GKSL (Gorini-Kossakowski-Sudarshan-Lindblad) master equation. However, in some cases, open quantum systems can be effectively described with non-Hermitian Hamiltonians, which have attracted great interest in the last twenty years due to a number of unconventional properties, such as the appearance of exceptional points. Here, we present a short review of these two different approaches aiming in particular to highlight their relation and illustrate different ways of connecting non-Hermitian Hamiltonian to a GKSL master equation for the full density matrix.
Cite
@article{arxiv.2201.05367,
title = {Non-Hermitian physics and master equations},
author = {Federico Roccati and G. Massimo Palma and Fabio Bagarello and Francesco Ciccarello},
journal= {arXiv preprint arXiv:2201.05367},
year = {2022}
}
Comments
10 pages, 7 figures. Submitted to the Special Issue of OSID in memoriam of Andrzej Kossakowski