Exotic Attractors of the Nonequilibrium Rabi-Hubbard Model

M. Schiró, C. Joshi, M. Bordyuh, R. Fazio, J. Keeling, and H. E. Türeci

Phys. Rev. Lett. 116, 143603 – Published 8 April 2016

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 incommensurate 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.

Received 15 March 2015

DOI:https://doi.org/10.1103/PhysRevLett.116.143603

Physics Subject Headings (PhySH)

Cavity quantum electrodynamics

Chaos & nonlinear dynamics Hubbard model Rabi model

Atomic, Molecular & Optical

Authors & Affiliations

M. Schiró¹, C. Joshi^2,3, M. Bordyuh⁴, R. Fazio^5,6, J. Keeling³, and H. E. Türeci⁴

¹Institut de Physique Théorique, Université Paris Saclay, CNRS, CEA, F-91191 Gif-sur-Yvette, France
²Department of Physics, University of York, Heslington, York YO10 5DD, United Kingdom
³SUPA, School of Physics and Astronomy, University of St. Andrews, St. Andrews KY16 9SS, United Kingdom
⁴Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA
⁵ICTP, Strada Costiera 11, I-34151 Trieste, Italy
⁶NEST, Scuola Normale Superiore and Istituto Nanoscienze-CNR, I-56127 Pisa, Italy