Journal
ANNALS OF PHYSICS
Volume 441, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2022.168890
Keywords
Master equation; Exact solution; Phase damping; Jaynes-Cummings model
Categories
Funding
- Institute for Advanced Theoretical and Experimental Physics, Waseda University
- Waseda University [2021C-196]
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An exact master equation for the simplified Jaynes-Cummings system interacting with a bosonic reservoir is derived analytically. The equation is applicable to any initial JC state and the validity of standard approximations is discussed.
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. (C) 2022 The Authors. Published by Elsevier Inc.
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