Maxwell boundary conditions imply non-Lindblad master equation

Motoaki Bamba and Nobuyuki Imoto
Phys. Rev. A 94, 033802 – Published 1 September 2016

Abstract

From the Hamiltonian connecting the inside and outside of a Fabry-Pérot cavity, which is derived from the Maxwell boundary conditions at a mirror of the cavity, a master equation of a non-Lindblad form is derived when the cavity embeds matters, although we can transform it to the Lindblad form by performing the rotating-wave approximation to the connecting Hamiltonian. We calculate absorption spectra by these Lindblad and non-Lindblad master equations and also by the Maxwell boundary conditions in the framework of the classical electrodynamics, which we consider the most reliable approach. We found that, compared to the Lindblad master equation, the absorption spectra by the non-Lindblad one agree better with those by the Maxwell boundary conditions. Although the discrepancy is highlighted only in the ultrastrong light-matter interaction regime with a relatively large broadening, the master equation of the non-Lindblad form is preferable rather than of the Lindblad one for pursuing the consistency with the classical electrodynamics.

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  • Received 7 March 2016

DOI:https://doi.org/10.1103/PhysRevA.94.033802

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Motoaki Bamba* and Nobuyuki Imoto

  • Department of Materials Engineering Science, Osaka University, 1-3 Machikaneyama, Toyonaka, Osaka 560-8531, Japan

  • *bamba@qi.mp.es.osaka-u.ac.jp

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Issue

Vol. 94, Iss. 3 — September 2016

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