Finite-size scaling analysis in the two-photon Dicke model

Abstract

The Hamiltonian of the two-photon Dicke model is diagonalized for the normal phase and super-radiant phase beyond the mean-field method respectively, giving the critical coupling strength. Besides a spectral collapse, the super-radiant phase transition is presented by the vanishing of the excitation energy, which is lower than the mean-field results. Finite-size scaling exponents for the ground-state energy and the atomic angular momentum are analytically derived from scaling hypothesis, belonging to the same scaling universality of the one-photon Dicke model.

8pages,5 figures

References in corpus (10)

• Finite-Size Scaling Exponents of the Lipkin-Meshkov-Glick Model
• Universal scaling and critical exponents of the anisotropic quantum Rabi model
• Accurate numerical solution to the finite-size Dicke model
• Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
• Characteristic spectra of circuit quantum electrodynamics systems from the ultrastrong- to the deep-strong-coupling regime
• Superradiant Solid in Cavity QED Coupled to a Lattice of Rydberg Gas
• Continuous easy-plane deconfined phase transition on the kagome lattice
• Non-ergodicity in the Anisotropic Dicke model
• Scaling behavior in the adiabatic Dicke Model
• Superradiance phase transition in the presence of parameter fluctuations

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• Dissipation-induced bistability in the two-photon Dicke model
• Generalized coherent-squeezed-state expansion for the quantum Rabi model
• Waveguide QED with Quadratic Light-Matter Interactions
• Enhancement of Quantum Sensing in a Cavity Optomechanical System around Quantum Critical Point
• Two-photon-interaction effects in the bad-cavity limit
• Driven Multiphoton Qubit-Resonator Interactions
• Generalized Dicke model and gauge-invariant master equations for two atoms in ultrastrongly-coupled cavity quantum electrodynamics
• Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
• Two-photon Rabi-Stark model
• Effect of system energy on quantum signatures of chaos in the two-photon Dicke model
• Chiral Quantum Phases and Tricriticality in a Dicke Triangle
• Dispersive regime of multiphoton qubit-oscillator interactions
• Nonequilibrium thermal transport and photon squeezing in a quadratic qubit-resonator system
• Observing the Spectral Collapse of Two-Photon Interaction Models
• Superradiant Phase is a Finite Size Effect in Two-photon Processes