On the Derivation of the GKLS Equation for Weakly Coupled Systems

Paolo Facchi, Marilena Ligabò, Kazuya Yuasa

Research output: Contribution to journalArticlepeer-review

Abstract

We consider the reduced dynamics of a small quantum system in interaction with a reservoir when the initial state is factorized. We present a rigorous derivation of a GKLS master equation in the weak-coupling limit for a generic bath, which is not assumed to have a bosonic or fermionic nature, and whose reference state is not necessarily thermal. The crucial assumption is a reservoir state endowed with a mixing property: the n-point connected correlation function of the interaction must be asymptotically bounded by the product of two-point functions (clustering property).

Original languageEnglish
Article number1740017
JournalOpen Systems and Information Dynamics
Volume24
Issue number4
DOIs
Publication statusPublished - 2017 Dec 1

Keywords

  • Master equation
  • mixing
  • van Hoves limit

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics

Fingerprint Dive into the research topics of 'On the Derivation of the GKLS Equation for Weakly Coupled Systems'. Together they form a unique fingerprint.

Cite this