Journal
COMPTES RENDUS PHYSIQUE
Volume 17, Issue 8, Pages 836-860Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crhy.2016.07.001
Keywords
Strongly interacting photons; Driven-dissipative; Non-Markovian
Funding
- ERC through the QGBE grant
- EU-FET Proactive grant AQuS [640800]
- Provincia Autonoma di Trento
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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. All rights reserved.
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