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.

Journal/Review: COMPTES RENDUS PHYSIQUE

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

More Information: IC acknowledges financial support by the ERC through the QGBE grant, by the EU-FET Proactive grant AQuS (Project No. 640800), and by the Provincia Autonoma di Trento, partly through the project On silicon chip quantum optics for quantum computing and secure communications (SiQuro). Continuous discussions with Alessio Chiocchetta, Hannah Price, Alberto Amo, Jacqueline Bloch, and Mohammad Hafezi are warmly acknowledged.
KeyWords: Strongly interacting photons; Driven-dissipative; Non-Markovian
DOI: 10.1016/j.crhy.2016.07.001

ImpactFactor: 2.048
Citations: 27
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