Stabilizing strongly correlated photon fluids with non-Markovian reservoirs

Year: 2017

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

Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; Univ Paris Diderot, CNRS, UMR 7162, Lab Mat & Phenomenes 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 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 introduce a frequency-dependent incoherent pump scheme with a square-shaped spectrum as a way to study strongly correlated photons in arrays of coupled nonlinear resonators. This scheme can be implemented via a reservoir of population-inverted two-level emitters with a broad distribution of transition frequencies. Our proposal is predicted to stabilize a nonequilibrium steady state sharing important features with a zero-temperature equilibrium state with a tunable chemical potential. We confirm the efficiency of our proposal for the Bose-Hubbard model by computing numerically the steady state for finite system sizes: first, we predict the occurrence of a sequence of incompressible Mott-insulator-like states with arbitrary integer densities presenting strong robustness against tunneling and losses. Secondly, for stronger tunneling amplitudes or noninteger densities, the system enters a coherent regime analogous to the superfluid state. In addition to an overall agreement with the zero-temperature equilibrium state, exotic nonequilibrium processes leading to a finite entropy generation are pointed out in specific regions of parameter space. The equilibrium ground state is shown to be recovered by adding frequency-dependent losses. The promise of this improved scheme in view of quantum simulation of the zero-temperature many-body physics is highlighted.

Journal/Review: PHYSICAL REVIEW A

Volume: 96 (3)      Pages from: 33828-1  to: 33828-15

More Information: Discussions with Atac Imamoglu, Jonathan Simon, Jamir Marino, and Leonardo Mazza are warmly acknowledged. 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). A.B., F.S., and C.C. acknowledge support from ERC (via Consolidator Grant CORPHO No. 616233). R.F. acknowledges support from EU-QUIC. A.B., C.C., D.R., and I.C. 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.
KeyWords: Polaritons; Arrays; Cavity
DOI: 10.1103/PhysRevA.96.033828

ImpactFactor: 2.909
Citations: 46
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