Non-Hermitian physics and master equations

• URL: http://arxiv.org/abs/2201.05367v1
• Date: Fri, 14 Jan 2022 10:08:09 GMT
• Title: Non-Hermitian physics and master equations
• Authors: Federico Roccati, G. Massimo Palma, Fabio Bagarello, Francesco Ciccarello
• Abstract summary: We show how to connect non-Hermitian Hamiltonians to a GKSL master equation for the full density matrix. Non-Hermitian Hamiltonians have attracted great interest in the last twenty years due to a number of unconventional properties.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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