Dicke quantum spin glass of atoms and photons

Abstract

Recent studies of strongly interacting atoms and photons in optical cavities have rekindled interest in the Dicke model of atomic qubits coupled to discrete photon cavity modes. We study the multimode Dicke model with variable atom-photon couplings. We argue that a quantum spin glass phase can appear, with a random linear combination of the cavity modes superradiant. We compute atomic and photon spectral response functions across this quantum phase transition, both of which should be accessible in experiment.

4 pages, 3 figures, v2: described quantum optics set-up in more detail; extended discussion on photon correlation functions and experimental signatures; added references

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• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Using photoemission spectroscopy to probe a strongly interacting Fermi gas
• Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
• Frustration and glassiness in spin models with cavity-mediated interactions
• Collective Dynamics of Bose--Einstein Condensates in Optical Cavities
• Atom-light crystallization of BECs in multimode cavities: Nonequilibrium classical and quantum phase transitions, emergent lattices, supersolidity, and frustration

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