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.
Federico Roccati, Gioacchino Massimo Palma, Francesco Ciccarello, Fabio Bagarello (2022). Non-Hermitian Physics and Master Equations. OPEN SYSTEMS & INFORMATION DYNAMICS, 29(01) [10.1142/s1230161222500044].
Non-Hermitian Physics and Master Equations
Federico Roccati
;Gioacchino Massimo Palma;Francesco Ciccarello;Fabio Bagarello
2022-03-01
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.File | Dimensione | Formato | |
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