Quantum Dynamics of the Driven and Dissipative Rabi Model
Abstract
The Rabi model considers a two-level system (or spin-1/2) coupled to a quantized harmonic oscillator and describes the simplest interaction between matter and light. The recent experimental progress in solid-state circuit quantum electrodynamics has engendered theoretical efforts to quantitatively describe the mathematical and physical aspects of the light-matter interaction beyond the rotating wave approximation. We develop a stochastic Schr\"{o}dinger equation approach which enables us to access the strong-coupling limit of the Rabi model and study the effects of dissipation, and AC drive in an exact manner. We include the effect of ohmic noise on the non-Markovian spin dynamics resulting in Kondo-type correlations, as well as cavity losses. We compute the time evolution of spin variables in various conditions. As a consideration for future work, we discuss the possibility to reach a steady state with one polariton in realistic experimental conditions.
Cite
@article{arxiv.1401.4558,
title = {Quantum Dynamics of the Driven and Dissipative Rabi Model},
author = {Loïc Henriet and Zoran Ristivojevic and Peter P. Orth and Karyn Le Hur},
journal= {arXiv preprint arXiv:1401.4558},
year = {2014}
}
Comments
13 pages, final version