Superfluid-Mott-insulator phase transition of light in a two-mode cavity array with ultrastrong coupling

Abstract

In this paper we construct a new type of cavity array, in each cavity of which multiple two-level atoms interact with two independent photon modes. This system can be totally governed by a two-mode Dicke-lattice model, which includes all of the counter-rotating terms and therefore works well in the ultrastrong coupling regime achieved in recent experiments. Attributed to its special atom-photon coupling scheme, this model supports a global conserved excitation and a continuous $U(1)$ symmetry, rather than the discrete $Z_2$ symmetry in the standard Dicke-lattice model. This distinct change of symmetry via adding an extra photon mode strongly impacts the nature of photon localization/delocalization behavior. Specifically, the atom-photon interaction features stable Mott-lobe structures of photons and a second-order superfluid-Mott-insulator phase transition, which share similarities with the Jaynes-Cummings-lattice and Bose-Hubbard models. More interestingly, the Mott-lobe structures predicted here depend crucially on the atom number of each site. We also show that our model can be mapped into a continuous $XX$ spin model. Finally, we propose a scheme to implement the introduced cavity array in circuit quantum electrodynamics. This work broadens our understanding of strongly-correlated photons.

10 pages, 6 figures

References in corpus (26)

• Many-Body Physics with Ultracold Gases
• Quantum fluids of light
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Quantum information transfer using photons
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Quantum simulations and many-body physics with light
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Quantum limited amplification and entanglement in coupled nonlinear resonators
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• Effective spin systems in coupled micro-cavities
• Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems
• Photon shell game in three-resonator circuit quantum electrodynamics
• On the phase transition of light in cavity QED lattices
• Implementation of the Dicke lattice model in hybrid quantum system arrays
• Strong coupling theory for the Jaynes-Cummings-Hubbard model
• Beyond Strong Coupling in a Massively Multimode Cavity
• Quantum phase transitions in photonic cavities with two-level systems
• Jahn-Teller systems from a cavity QED perspective
• Quantum Phase Transitions of Light in the Dicke-Bose-Hubbard model
• Quantum phase transition in a multi-connected superconducting Jaynes-Cummings lattice
• Disordered driven coupled cavity arrays: Non-equilibrium stochastic mean-field theory

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• Quantum simulation scheme of two-dimensional xy-model Hamiltonian with controllable coupling