Dissipative Rabi model for deep strong far-off-resonant driving

TL;DR

This paper analyzes the dissipative Rabi model under extreme off-resonant driving, deriving analytical expressions for key quantum properties and revealing how emission features depend on driving strength and decoherence rates.

Contribution

It provides new analytical solutions for the dissipative Rabi model in a deep strong off-resonant regime, highlighting the influence of relaxation and dephasing on emission spectra.

Findings

Emission spectrum shows narrow delta-like lines and Lorentzian peaks.

Line widths and population oscillation decay rates oscillate with driving strength.

Features depend on the relative rates of relaxation and dephasing.

Abstract

We study the dissipative Rabi model under deep strong far-off-resonant driving when the driving frequency and strength exceed significantly the qubit transition frequency. We find analytical expressions for the density matrix, the steady-state first-order field correlation function and the multiphoton emission spectrum. This spectrum consists of a series of narrow delta-like lines, caused by coherent processes and of Lorenzian peaks resulted from the incoherent scattering of photons. It is shown that the width of emission lines as well as the decay rate of the time oscillations in the population difference have oscillating dependence on the driving strength. We show how the features of this dependence are controlled by the relative rates of energetic relaxation and pure dephasing.