Critical dynamical properties of a first-order dissipative phase transition

Abstract

We theoretically investigate the critical properties of a single driven-dissipative nonlinear photon mode. In a well-defined thermodynamical limit of large excitation numbers, the exact quantum solution describes a first-order phase transition in the regime where semiclassical theory predicts optical bistability. We study the behavior of the complex spectral gap associated with the Liouvillian superoperator of the corresponding master equation. We show that in this limit the Liouvillian gap vanishes exponentially and that the bimodality of the photon Wigner function disappears. The connection between the considered thermodynamical limit of large photon numbers for the single-mode cavity and the thermodynamical limit of many cavities for a driven-dissipative Bose-Hubbard system is discussed.

revised version accepted for publication in PRA

References in corpus (5)

• Quantum fluids of light
• Dissipative Phase Transition in Central Spin Systems
• Spontaneous mirror-symmetry breaking in a photonic molecule
• Stochastic classical field model for polariton condensates
• Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer

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