Solvable model of dissipative dynamics in the deep strong coupling regime

TL;DR

This paper presents an analytical model for the dissipative dynamics of a qubit coupled to a bosonic mode in the deep strong coupling regime, revealing phenomena like collapses, revivals, and photon wave packet mixing.

Contribution

It provides the first analytical solution for the open system dynamics in the DSC regime with zero-temperature bath, including effects of detuning.

Findings

Predicts collapses and revivals of parity populations

Describes oscillatory mean photon number behavior

Shows incoherent mixing of photon wave packets

Abstract

We describe the dynamics of a qubit interacting with a bosonic mode coupled to a zero-temperature bath in the deep strong coupling (DSC) regime. We provide an analytical solution for this open system dynamics in the off-resonance case of the qubit-mode interaction. Collapses and revivals of parity chain populations and the oscillatory behavior of the mean photon number are predicted. At the same time, photon number wave packets, propagating back and forth along parity chains, become incoherently mixed. Finally, we investigate numerically the effect of detuning on the validity of the analytical solution.