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.


Volume: 96 (3)      Pages from: 033828-1  to: 033828-15

DOI: 10.1103/PhysRevA.96.033828

Citations: 38
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