Quantum-classical correspondence in resonant and nonresonant Rabi-Stark model

• URL: http://arxiv.org/abs/2512.08303v1
• Date: Tue, 09 Dec 2025 07:02:37 GMT
• Title: Quantum-classical correspondence in resonant and nonresonant Rabi-Stark model
• Authors: Shangyun Wang, Songbai Chen, Jiliang Jing,
• Abstract summary: We study the semiclassical dynamics in the Rabi-Stark model (RSM)<n>We demonstrate that quantum-classical correspondence can be achieved in the RSM with large atom-light frequency ratios.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Testing the correspondence principle in nonlinear quantum systems is a fundamental pursuit in quantum physics. In this paper, we employed mean field approximation theory to study the semiclassical dynamics in the Rabi-Stark model (RSM) and showed that the nonlinear Stark coupling significantly modulates the semiclassical phase space structure. By analyzing the linear entanglement entropy of coherent states prepared in the classical chaotic and regular regions of the semiclassical phase space, we demonstrate that quantum-classical correspondence can be achieved in the RSM with large atom-light frequency ratios. While this correspondence fails in the resonant Rabi model because its truncated photon number is insufficient to approach the large quantum number limit, we discovered that in the resonant RSM when the nonlinear Stark coupling $U \to \pm 1$, the time-averaged linear entanglement entropy correlates strongly with the semiclassical phase space. In particular, when $U \to -1$, the truncated photon number in the resonant RSM is very close to that in the resonant Rabi model, but the time-averaged linear entanglement entropy still corresponds well with the semiclassical phase space. This result demonstrates that quantum-classical correspondence can be realized in the few-body resonant RSM.

Related papers

• Spin-correlation dynamics: A semiclassical framework for nonlinear quantum magnetism [0.0]
  We develop a theory in which semiclassical spin correlations serve as the fundamental dynamical variables.<n>As an application, we focus on Heisenberg antiferromagnets, which feature significant quantum effects.
  arXiv  Detail & Related papers  (2025-12-12T11:08:22Z)
• Classically Prepared, Quantumly Evolved: Hybrid Algorithm for Molecular Spectra [41.99844472131922]
  We introduce a hybrid classical-quantum algorithm to compute dynamical correlation functions and excitation spectra in many-body quantum systems.<n>The method combines classical preparation of a perturbed ground state with short-time quantum evolution of product states sampled from it.
  arXiv  Detail & Related papers  (2025-10-28T19:27:12Z)
• Quantum Rabi oscillations in the semiclassical limit: backreaction on the cavity field and entanglement [89.99666725996975]
  We show that for a strong atom-field coupling, when the duration of the $pi $pulse is below $100omega -1$, the behaviour of the atomic excitation probability deviates significantly from the textbook.<n>In the rest of this work we study numerically the backreaction of the qubit on the cavity field and the resulting atom-field entanglement.
  arXiv  Detail & Related papers  (2025-04-12T23:24:59Z)
• Quantum-classical correspondence of non-Hermitian spin-orbit coupled bosonic junction [4.934387267206206]
  We show that near the symmetry-breaking phase transition point, the correspondence between classical (mean-field) and quantum dynamics is more likely to break down. In both the mean-field and many-particle models, the SOC effects can greatly promote the synchronous periodic oscillations between the spin-up and spin-down components.
  arXiv  Detail & Related papers  (2024-10-17T02:58:17Z)
• Long-time signatures of chaos in large atom-light frequency ratios Rabi model [0.0]
  We study the long-time quantum signatures of chaos in the large atom-light frequency ratios Rabi model.<n>Our results imply that the correspondence principle does not invalidated by quantum collapse and revival effects.
  arXiv  Detail & Related papers  (2024-07-13T08:21:11Z)
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches [41.94295877935867]
  We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
  arXiv  Detail & Related papers  (2023-12-19T16:14:01Z)
• Timescales of quantum and classical chaotic spin models evolving toward equilibrium [0.0]
  We investigate quench dynamics in a one-dimensional spin model, comparing both quantum and classical descriptions. Numerical simulations, supported by semi-analytical analysis, reveal that the relaxation of single-particle energies (global quantity) and on-site magnetization (local observable) occurs on a timescale independent of the system size $L$.
  arXiv  Detail & Related papers  (2023-07-11T18:00:04Z)
• Motivating semiclassical gravity: a classical-quantum approximation for bipartite quantum systems [0.0]
  We derive a "classical-quantum" approximation scheme for a broad class of bipartite quantum systems. In this approximation, one subsystem evolves via classical equations of motion with quantum corrections, and the other subsystem evolves quantum mechanically.
  arXiv  Detail & Related papers  (2023-06-01T18:05:33Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.