Phase diagram of incoherently driven strongly correlated photonic lattices

Year: 2017

Authors: Biella A., Storme F., Lebreuilly J., Rossini D., Fazio R., Carusotto I., Ciuti C.

Autors Affiliation: Univ Paris Diderot, CNRS UMR7162, Lab Mat & Pheomones Quant, Sorbonne Paris Cite, F-75013 Paris, France;Scuola Normale Super Pisa, NEST, I-56126 Pisa, Italy; CNR, Ist Nanosci, I-56126 Pisa, Italy; Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; Univ Pisa, Dipartimento Fis, Largo Pontecorvo 3, I-56127 Pisa, Italy; Ist Nazl Fis Nucl, Largo Pontecorvo 3, I-56127 Pisa, Italy; Abdus Salaam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy

Abstract: We explore theoretically the nonequilibrium photonic phases of an array of coupled cavities in presence of incoherent driving and dissipation. 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. 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 intercavity 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.

Journal/Review: PHYSICAL REVIEW A

Volume: 96 (2)      Pages from: 023839-1  to: 023839-12

KeyWords: RENORMALIZATION-GROUP; QUANTUM SIMULATIONS; SYSTEMS; PHYSICS; DYNAMICS; ARRAYS; ATOMS
DOI: 10.1103/PhysRevA.96.023839

Citations: 48
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