Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
arXiv:1702.01274 · doi:10.1103/PhysRevA.95.053854
Abstract
The controllability of current quantum technologies allows to implement spin-boson models where two-photon couplings are the dominating terms of light-matter interaction. In this case, when the coupling strength becomes comparable with the characteristic frequencies, a spectral collapse can take place, i.e. the discrete system spectrum can collapse into a continuous band. Here, we analyze the thermodynamic limit of the two-photon Dicke model, which describes the interaction of an ensemble of qubits with a single bosonic mode. We find that there exists a parameter regime where two-photon interactions induce a superradiant phase transition, before the spectral collapse occurs. Furthermore, we extend the mean-field analysis by considering second-order quantum fluctuations terms, in order to analyze the low-energy spectrum and compare the critical behavior with the one-photon case.
Minor changes to the text and equations, references added. 11 pages, 4 figures
References in corpus (10)
- Quantum fluids of light
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Dynamical phase transition in the open Dicke model
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- Roton-type mode softening in a quantum gas with cavity-mediated long-range interactions
- Implementation of the Dicke lattice model in hybrid quantum system arrays
- Quadratic Lie algebras and quasi-exact solvability of the two-photon Rabi Hamiltonian
- Collapse-revival dynamics and atom-field entanglement in the non-resonant Dicke model
- Generalized spin squeezing inequalities for particles number with quantum fluctuations
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