6533b838fe1ef96bd12a5319

RESEARCH PRODUCT

Non-Hermitian Physics and Master Equations

Federico RoccatiG. Massimo PalmaFrancesco CiccarelloFabio Bagarello

subject

Statistics and ProbabilityQuantum PhysicsNon-HermitianFOS: Physical sciencesStatistical and Nonlinear Physicsopen quantum systemsquantum opticsmaster equationsQuantum Physics (quant-ph)exceptional pointsSettore FIS/03 - Fisica Della MateriaMathematical Physics

description

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.

https://doi.org/10.1142/s1230161222500044