Quantum phases of a multimode bosonic field coupled to flat electronic bands

Abstract

We investigate the quantum phases of systems in which a multimode bosonic field is coupled to the transitions between two flat electronic bands. In the literature, such systems are usually modeled using a single or multimode Dicke model, leading to the prediction of superradiant quantum phase transitions for large enough couplings. We show that the physics of these systems is remarkably richer than previously expected, with the system continuously interpolating between a Dicke model exhibiting a superradiant quantum phase transition and a quantum Rabi model with no phase transition.

References in corpus (12)

• Room-Temperature Quantum Hall Effect in Graphene
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Quantum phase transitions of light
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Ultra-Strong Light-Matter Coupling Regime with Polariton Dots
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• On the phase transition of light in cavity QED lattices
• Dynamical Casimir Effect in cavity with N-level detector or N-1 two-level atoms