FisMat2017 - Submission - View

Abstract's title: Nonequilibrium phases of an incoherently-driven strongly correlated photonic lattice
Submitting author: Alberto Biella
Affiliation: Université Paris Diderot, Laboratoire Matériaux et Phénoménes Quantiques
Affiliation Address: 10, rue Alice Domon et Léonie Duquet, 75013 Paris
Country: France
Oral presentation/Poster (Author's request): Oral presentation
Other authors and affiliations: Florent Storme (Université Paris Diderot, Laboratoire Matériaux et Phénoménes Quantiques, Paris, France), José Lebreuilly (INO-CNR BEC Center and Dipartimento di Fisica, Universit\`a di Trento, Trento, Italy), Davide Rossini (Dipartimento di Fisica, Università di Pisa and INFN, Pisa, Italy), Rosario Fazio (ICTP, Trieste and Scuola Normale Superiore, Pisa, Italy), Iacopo Carusotto (INO-CNR BEC Center and Dipartimento di Fisica, Universit\`a di Trento, Trento, Italy), Cristiano Ciuti (Université Paris Diderot, Laboratoire Matériaux et Phénoménes Quantiques, Paris, France)
Abstract
We explore theoretically the nonequilibrium photonic phases of an array of coupled cavities in presence of incoherent driving and dissipation [1]. In particular, we consider a Hubbard model system where each site is a Kerr nonlinear resonator coupled to a two-level emitter, which is pumped incoherently [2].  Within a Gutzwiller mean-field approach, we determine the steady-state phase diagram of such a system.
We find that, at a critical value of the inter-cavity photon hopping rate, a second-order nonequilibrium phase transition associated with the spontaneous breaking of the $U(1)$ symmetry occurs.
The transition from an incompressible Mott-like photon fluid to a coherent delocalized phase is driven by commensurability effects and not by the competition between photon hopping and optical nonlinearity. 
The essence of the mean-field predictions is corroborated by finite-size simulations obtained with matrix product operators and corner-space renormalization methods.
 
 
[1] A. Biella, F. Storme, J. Lebreuilly, D. Rossini, R. Fazio, I. Carusotto, and C. Ciuti, Phase diagram of incoherently-driven strongly correlated photonic lattices, arXiv:1704.08978 (2017).
[2] J. Lebreuilly, M. Wouters, and I Carusotto, Towards strongly correlated photons in arrays of dissipative nonlinear cavities under a frequency-dependent incoherent pumping, Comptes Rendus Physique 17, 836 (2016).