Exotic attractors of the non-equilibrium Rabi-Hubbard model

TL;DR

This paper investigates the complex phase diagram of the dissipative Rabi-Hubbard model, revealing exotic attractors like ferroelectric and antiferroelectric states, with analytical and numerical methods confirming their robustness.

Contribution

It introduces a detailed analysis of the non-equilibrium Rabi-Hubbard model, identifying new exotic attractors and validating their persistence beyond mean-field approximations.

Findings

Identification of ferroelectric, antiferroelectric, and incommensurate fixed points

Existence of regions with persistent oscillations

Features confirmed by Matrix Product Operator simulations

Abstract

We explore the phase diagram of the dissipative Rabi-Hubbard model, as could be realized by a Raman-pumping scheme applied to a coupled cavity array. There exist various exotic attractors, including ferroelectric, antiferroelectric, and inccomensurate fixed points, as well as regions of persistent oscillations. Many of these features can be understood analytically by truncating to the two lowest lying states of the Rabi model on each site. We also show that these features survive beyond mean-field, using Matrix Product Operator simulations.