Solitons in cavity-QED arrays containing interacting qubits

TL;DR

This paper demonstrates the existence of polariton solitons in cavity-QED arrays with interacting qubits, deriving an effective equation and analyzing their properties under dissipation and dephasing effects.

Contribution

It introduces the concept of polariton solitons in cavity-QED arrays with interacting qubits and derives an effective complex Ginzburg-Landau equation considering dissipation.

Findings

Enhanced nonlinearity by two orders with negative qubit-field detuning.

Bright solitons supported in the upper polariton branch.

Group velocity of solitons is suppressed by diffusion.

Abstract

We reveal the existence of polariton soliton solutions in the array of weakly coupled optical cavities, each containing an ensemble of interacting qubits. An effective complex Ginzburg-Landau equation is derived in the continuum limit taking into account the effects of cavity field dissipation and qubit dephasing. We have shown that an enhancement of the induced nonlinearity can be achieved by two order of the magnitude with a negative interaction strength which implies a large negative qubit-field detuning as well. Bright solitons are found to be supported under perturbations only in the upper (optical) branch of polaritons, for which the corresponding group velocity is controlled by tuning the interacting strength. With the help of perturbation theory for solitons, we also demonstrate that the group velocity of these polariton solitons is suppressed by the diffusion process.