Quantum phase transitions in coupled two-level atoms in a single-mode cavity

Abstract

The dipole-coupled two-level atoms(qubits) in a single-mode resonant cavity is studied by extended bosonic coherent states. The numerically exact solution is presented. For finite systems, the first-order quantum phase transitions occur at the strong interatomic interaction. Similar to the original Dicke model, this system exhibits a second-order quantum phase transition from the normal to the superradiant phases. Finite-size scaling for several observables, such as the average fidelity susceptibility, the order parameter, and concurrence are performed for different interatomic interactions. The obtained scaling exponents suggest that interatomic interactions do not change the universality class.

13 pages, 5 figures

References in corpus (15)

• 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
• Fidelity, dynamic structure factor, and susceptibility in critical phenomena
• Fidelity susceptibility, scaling, and universality in quantum critical phenomena
• Switchable ultrastrong coupling in circuit QED
• Ground state fidelity from tensor network representations
• Intrinsic relation between ground-state fidelity and the characterization of a quantum phase transition
• Accurate numerical solution to the finite-size Dicke model
• Quantum criticality of the Lipkin-Meshkov-Glick Model in terms of fidelity susceptibility
• Direct equivalence between quantum phase transition phenomena in radiation-matter and magnetic systems: scaling of entanglement
• Scaling of Berry's Phase Close to the Dicke Quantum Phase Transition
• Scaling behavior in the adiabatic Dicke Model
• Quantum phase transition in the one-dimensional period-two and uniform compass model
• Super- and subradiant emission of two-level systems in the near-Dicke limit

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• Quantum transport of double quantum dots coupled to an oscillator in arbitrary strong coupling regime
• Classical dynamics of a two-species condensate driven by a quantum field
• Quantum Simulation of an Extended Dicke Model with a Magnetic Solid
• Phase Transitions in the Anisotropic Dicke-Stark Model with $A$-square terms
• Critical phenomena in light-matter systems with collective matter interactions
• Possibility of superradiant phase transitions in coupled two-level atoms
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits
• Dynamic sensitivity of quantum Rabi model with quantum criticality
• Classical dynamics of a two-species Bose-Einstein condensate in the presence of nonlinear maser processes