Dissipative quantum phase transition of light in a generalized Jaynes-Cummings-Rabi model
Abstract
The mean-field steady states of a generalized model of two-state systems interacting with one mode of the radiation field in the presence of external driving and dissipation are surveyed as a function of three control parameters: one governs the interaction strength relative to the resonance frequency, thus accessing the Dicke quantum phase transition, a second the relative strength of counter-rotating to rotating-wave interactions, and a third the amplitude of an external field driving the cavity mode. We unify the dissipative extension of the Dicke quantum phase transition with the recently reported breakdown of photon blockade [H.~J.~Carmichael, Phys.\ Rev.\ X {\bf 5}, 031028 (2015)]; key to the unification is a previously unreported phase of the Dicke model and a renormalized critical drive strength in the breakdown of photon blockade. For the simplest case of one two-state system, we complement mean-field results with a full quantum treatment: we derive quasi-energies to recover the renormalized critical drive strength, extend the multi-photon resonances of photon blockade to a counter-rotating interaction, and explore quantum fluctuations through quantum trajectory simulations.
Keywords
Cite
@article{arxiv.1806.05761,
title = {Dissipative quantum phase transition of light in a generalized Jaynes-Cummings-Rabi model},
author = {R. Gutierrez-Jauregui and H. J. Carmichael},
journal= {arXiv preprint arXiv:1806.05761},
year = {2018}
}