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arXiv · 1401.4558

Quantum Dynamics of the Driven and Dissipative Rabi Model

Loïc Henriet·Zoran Ristivojevic·Peter P. Orth·Karyn Le Hur
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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 Schrödinger 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.

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Loïc Henriet, Zoran Ristivojevic, Peter P. Orth, Karyn Le Hur. 2014-08-15. Quantum Dynamics of the Driven and Dissipative Rabi Model. https://doi.org/10.1103/physreva.90.023820

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