Damping of quasiparticles in a Bose-Einstein condensate coupled to an optical cavity

Abstract

We present a general theory for calculating the damping rate of elementary density wave excitations in a Bose-Einstein condensate strongly coupled to a single radiation field mode of an optical cavity. Thereby we give a detailed derivation of the huge resonant enhancement in the Beliaev damping of a density wave mode, predicted recently by Kónya et al., Phys.~Rev.~A 89, 051601(R) (2014). The given density-wave mode constitutes the polariton-like soft mode of the self-organization phase transition. The resonant enhancement takes place, both in the normal and ordered phases, outside the critical region. We show that the large damping rate is accompanied by a significant frequency shift of this polariton mode. Going beyond the Born-Markov approximation and determining the poles of the retarded Green's function of the polariton, we reveal a strong coupling between the polariton and a collective mode in the phonon bath formed by the other density wave modes.

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• The Open-System Dicke-Model Quantum Phase Transition with a Sub-Ohmic Bath
• Quantum kinetics of ultracold fermions coupled to an optical resonator
• Photon-mediated interactions: a scalable tool to create and sustain entangled states of N atoms
• Cavity-induced chiral states of fermionic quantum gases
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• Light-induced coherence in an atom-cavity system
• Quantum-optical magnets with competing short- and long-range interactions: Rydberg-dressed spin lattice in an optical cavity
• Critical exponent of quantum phase transitions driven by colored noise
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• Nonequilibrium polariton dynamics in a Bose-Einstein condensate coupled to an optical cavity
• Enhancing exotic quantum fluctuations in a strongly entangled cavity BEC system
• The Single Particle Excitation Spectrum of Degenerate Fermi gases in a ring cavity