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: 23839-1  to: 23839-12

More Information: Discussions with L. Mazza are warmly acknowledged. A.B., F.S., and C.C. acknowledge support from ERC (via Consolidator Grant CORPHO No. 616233). A.B., C.C., D.R., F.S., I.C.,and R.F. acknowledge the Kavli Institute for Theoretical Physics, University of California, Santa Barbara (USA) for the hospitality and support during the early stage of this work. We acknowledge the CINECA award under the ISCRA initiative for the availability of high-performance computing resources and support. J.L. and I.C. are supported by the EU-FET Proactive grant AQuS, Project No. 640800, and by the Autonomous Province of Trento, partially through the project On silicon chip quantum optics for quantum computing and secure communications (SiQuro). R.F. acknowledges Oxford Martin School Technologies and the Singapore Ministry of Education and National Research Foundation (QSYNC) for financial support.
KeyWords: Renormalization-group; Quantum Simulations; Systems; Physics; Dynamics; Arrays; Atoms
DOI: 10.1103/PhysRevA.96.023839

Citations: 54
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