Quantum Phase Transitions of Light in the Dicke-Bose-Hubbard model

Abstract

We extend the idea of quantum phase transitions of light in atom-photon system with Dicke-Bose-Hubbard model for arbitrary number of two-level atoms. The formulations of eigenenergies, effective Rabi frequencies, and critical chemical potentials for two atoms are derived. With a self-consistent method, we obtain a complete phase diagram for two two-level atoms on resonance, which indicates the transition from Mott insulator to superfluidity and with a mean excitations diagram for confirmation. We illustrate the generality of the method by constructing the dressed-state basis for arbitrary number of two-level atoms. In addition, we show that the Mott insulator lobes in the phase diagrams will smash out with the increase of atom numbers. The results of this work provide a step for studying the effects with combinations of Dicke-like and Hubbard-like models to simulate strongly correlated electron systems using photons.

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Effective spin systems in coupled micro-cavities
• Strong photon non-linearities and photonic Mott insulators
• 1/N-expansion for the Dicke model and the decoherence program

Cited by in corpus (9)

• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• Many-body phenomena in QED-cavity arrays
• Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
• Excitation spectra of strongly correlated lattice bosons and polaritons
• Emission characteristics of laser-driven dissipative coupled-cavity systems
• Quantum phase transition of nonlinear light in the finite size Dicke Hamiltonian
• Superfluid-Mott insulator quantum phase transition in a cavity optomagnonic system
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits