Superradiant Phase Transition and Statistical Properties in the Dicke-Stark Model
arXiv:2508.08860 · doi:10.1103/f5hk-95l2
Abstract
In this study, the energy spectrum and thermal equilibrium states of the finite-size Dicke-Stark model were numerically obtained within the extended coherent state space by solving the dressed master equation for strongly coupled light-atom systems. The critical point of the superradiant phase transition in the infinite-size Dicke-Stark model was analytically derived using the mean-field approach and confirmed with numerical calculation. Under thermal equilibrium conditions, analyses of the negativity, zero-time-delay two-photon correlation function, and atom-spin squeezing parameters in the finite-size Dicke-Stark model reveal that as the coupling strength increases, the light field undergoes a transition from photon bunching to anti-bunching and then back to bunching. The Stark field can modulate both the maximum and minimum values of the two-photon correlation function and their corresponding coupling strengths. At low temperatures, the system exhibits entanglement and spin squeezing. As temperature rises, entanglement gradually diminishes, while strong coupling facilitates the preservation of entanglement in the system state. Atom-spin squeezing spin squeezing is highly sensitive to temperature and vanishes rapidly with increasing temperature. This work contributes to the fundamental understanding of quantum phenomena in Dicke-Stark systems.
References in corpus (56)
- A computable measure of entanglement
- The logarithmic negativity: A full entanglement monotone that is not convex
- On the volume of the set of mixed entangled states
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Ultrastrong coupling regimes of light-matter interaction
- On the Integrability of the Rabi Model
- The photon blockade effect in optomechanical systems
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- A comparison of entanglement measures
- Exact solvability of the quantum Rabi models within Bogoliubov operators
- Single-photon cavity optomechanics mediated by a quantum two-level system
- Partial Teleportation of Entanglement in the Noisy Environment
- Breakdown of gauge invariance in ultrastrong-coupling cavity QED
- Nonequilibrium Quantum Phase Transitions in the Dicke Model
- Frustration and glassiness in spin models with cavity-mediated interactions
- Accurate numerical solution to the finite-size Dicke model
- Extended Dicke quantum battery with interatomic interactions and driving field
- Single-photon-driven high-order sideband transitions in an ultrastrongly coupled circuit quantum electrodynamics system
- Two-photon Rabi model: Analytic solutions and spectral collapse
- Inversion of Qubit Energy Levels in Qubit-Oscillator Circuits in the Deep-Strong-Coupling Regime
- Exact Solvability of the two-photon Rabi Hamiltonian
- Cavity QED simulation of qubit-oscillator dynamics in the ultrastrong coupling regime
- Multi-mode ultra-strong coupling in circuit quantum electrodynamics
- Accurate Lindblad-Form Master Equation for Weakly Damped Quantum Systems Across All Regimes
- Conditional large Fock state preparation and field state reconstruction in Cavity QED
- Quantum Phase Transition in the Sub-Ohmic Spin-Boson Model: Extended Coherent-state Approach
- Fate of photon blockade in the deep strong coupling regime
- Spin Quantum Heat Engine Quantified by Quantum Steering
- An efficient non-linear Feshbach engine
- Solution of the Dicke model for N=3
- Exceptional and regular spectra of a generalized Rabi model
- Occurrence of discontinuities in the performance of finite-time quantum Otto cycles
- Quantum Rabi-Stark model: Solutions and exotic energy spectra
- Solution of the two-mode quantum Rabi model using extended squeezed states
- Strong antibunching in a generalized Rabi model
- Analytical energy spectrum for hybrid mechanical systems
- Comment on "Solvability of the two-photon Rabi Hamiltonian"
- Analytical Solution for the Anisotropic Rabi Model: Effects of Counter-Rotating Terms
- First-order and continuous quantum phase transitions in the anisotropic quantum Rabi-Stark model
- Efficient basis for the Dicke Model I: theory and convergence in energy
- Efficient basis for the Dicke Model II: wave function convergence and excited states
- Observation of a finite-energy phase transition in a one-dimensional quantum simulator
- Exact solvability, non-integrability, and genuine multipartite entanglement dynamics of the Dicke model
- Two-photon Rabi-Stark model
- Ground state of the asymmetric Rabi model in the ultrastrong coupling regime
- On the 2-mode and -photon quantum Rabi models
- Quantum chaos in the Dicke model and its variants
- Fidelity, susceptibility and critical exponents in the Dicke model
- Dicke States Generation via Selective Interactions in Dicke-Stark Model
- Phase Transitions in the Anisotropic Dicke-Stark Model with -square terms
- Stark-induced tunable phase transition in the two-photon Dicke-Stark model
- Peres Lattices and chaos in the Dicke model
- Two-photon statistics of nonclassical radiation in the dissipative finite-size Dicke model