Counting statistics of the Dicke superradiance phase transition

Abstract

We consider a driven single mode Dicke-Hamiltonian coupled to a dissipative zero-temperature bath. We derive the cumulant generating function for emitted photons of this quantum-critical system by using a $P$-representation of the master equation in the thermodynamic limit. This cumulant generating function is shown to consist of two parts: a macroscopic component, which is Poissonian in nature with characteristic rate proportional to the order parameter of the system; and a part describing fluctuations which is non-trivial in form and divergent around the quantum phase transition.

9 pages, 5 figures

References in corpus (5)

• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Dynamics of Nonequilibrium Dicke Models
• Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
• Dynamical Coupling between a Bose-Einstein Condensate and a Cavity Optical Lattice
• Finite-size scaling in the quantum phase transition of the open-system Dicke-model

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