Exact master equation for an open Jaynes–Cummings system

Akane Watanabe*, Hiromichi Nakazato

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A master equation for the Jaynes–Cummings (JC) system interacting with a bosonic reservoir through a conserved quantity is derived analytically without any approximation. The derivation is valid for any initial JC state that has no correlation with the initial reservoir at any temperature and yields a Gorini–Kossakowski–Lindblad–Sudarshan-type master equation with time-dependent coefficients. Several physical quantities of the open JC system are examined and the validity or limit of some of the standard approximations used to derive the master equation is discussed on the basis of the exact results obtained here.

Original languageEnglish
Article number168890
JournalAnnals of Physics
Publication statusPublished - 2022 Jun


  • Exact solution
  • Jaynes–Cummings model
  • Master equation
  • Phase damping

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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