Towards strongly correlated photons in arrays of dissipative nonlinear cavities under a frequency-dependent incoherent pumping

Year: 2016

Authors: Lebreuilly J., Wouters M., Carusotto I.

Autors Affiliation: Ecole Normale Super, Dept Phys, 24 Rue Lhomond, F-75231 Paris, France;‎ Univ Trent, INO CNR BEC Ctr, Via Sommar 14, I-38123 Povo, Italy; Univ Trent, Dipartimento Fis, Via Sommar 14, I-38123 Povo, Italy;‎ Univ Antwerp, TQC, Univ Pl 1, B-2610 Antwerp, Belgium

Abstract: We report a theoretical study of a quantum optical model consisting of an array of strongly nonlinear cavities incoherently pumped by an ensemble of population-inverted two-level atoms. Projective methods are used to eliminate the atomic dynamics and write a generalized master equation for the photonic degrees of freedom only, where the frequency-dependence of gain introduces non-Markovian features. In the simplest single cavity configuration, this pumping scheme gives novel optical bistability effects and allows for the selective generation of Fock states with a well-defined photon number. For many cavities in a weakly non-Markovian limit, the non-equilibrium steady state recovers a Grand-Canonical statistical ensemble at a temperature determined by the effective atomic linewidth. For a two-cavity system in the strongly nonlinear regime, signatures of a Mott state with one photon per cavity are found. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS.

Journal/Review: COMPTES RENDUS PHYSIQUE

Volume: 17 (8)      Pages from: 836  to: 860

KeyWords: Strongly interacting photons; Driven-dissipative; Non-Markovian
DOI: 10.1016/j.crhy.2016.07.001

Citations: 25
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