Exact Floquet solutions in a Parity-Time-Symmetric Rabi Model

• URL: http://arxiv.org/abs/2501.19163v2
• Date: Tue, 11 Feb 2025 18:52:09 GMT
• Title: Exact Floquet solutions in a Parity-Time-Symmetric Rabi Model
• Abstract summary: It is shown that a semiclassical Rabi model with parity-time (PT) symmetry has a hidden $sl(2)$ symmetry and hence possesses quasi-exact solutions.<n>The corresponding constraints on the model parameters can be interpreted as a resonance relationship between the constant and periodic driving terms.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: It is shown that a semiclassical Rabi model with parity-time (PT) symmetry has a hidden $sl(2)$ symmetry and hence possesses quasi-exact solutions. These are located precisely at the exceptional points of the spectrum, the boundaries of the PT-symmetric phase. The corresponding constraints on the model parameters can be interpreted as a resonance relationship between the constant and periodic driving terms.

Related papers

• Exact versus tight-binding models in longitudinally modulated $\mathcal{PT}$-symmetric coupled waveguides [0.0]
  The tight-binding (TB) model is a widely adopted approximation scheme for describing light propagation in waveguide arrays.<n>Despite its success, its validity in $mathcalPT$-symmetric systems characterized by strong longitudinal modulation has not been rigorously benchmarked against exact analytical solutions.
  arXiv  Detail & Related papers  (2026-05-22T17:07:57Z)
• Parametric resonant enhancement of motional entanglement under optimal control: an analytical study [45.88028371034407]
  We study theoretically continuous-variable entanglement between the motional degrees of freedom of optically trapped massive particles coupled via the Coulomb interaction.<n>We perform a detailed analysis of the parametric resonance induced by temporal modulation of the coupling strength, based on the system's coupled nonlinear, nonhomogeneous dynamical equations.<n>We demonstrate that a stationary nonequilibrium entangled state is realized as a result of the competition between parametric gain and decoherence.
  arXiv  Detail & Related papers  (2025-10-21T09:01:19Z)
• Lie symmetries and ghost-free representations of the Pais-Uhlenbeck model [44.99833362998488]
  We investigate the Pais-Uhlenbeck (PU) model, a paradigmatic example of a higher time-derivative theory.<n>Exploiting Lie symmetries in conjunction with the model's Bi-Hamiltonian structure, we construct distinct Poisson bracket formulations.<n>Our approach yields a unified framework for interpreting and stabilising higher time-derivative dynamics.
  arXiv  Detail & Related papers  (2025-05-09T15:16:40Z)
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
  Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation.<n>We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue.<n>We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-04-11T14:06:05Z)
• Predicting symmetries of quantum dynamics with optimal samples [41.42817348756889]
  Identifying symmetries in quantum dynamics is a crucial challenge with profound implications for quantum technologies. We introduce a unified framework combining group representation theory and subgroup hypothesis testing to predict these symmetries with optimal efficiency. We prove that parallel strategies achieve the same performance as adaptive or indefinite-causal-order protocols.
  arXiv  Detail & Related papers  (2025-02-03T15:57:50Z)
• Subharmonic spin correlations and spectral pairing in Floquet time crystals [41.94295877935867]
  Floquet time crystals are characterized by subharmonic behavior of temporal correlation functions.<n>We show that their temporal spin correlations are directly related to spectral characteristics.<n>We discuss possible implications for the phase diagram of the Floquet time crystals.
  arXiv  Detail & Related papers  (2025-01-30T21:30:45Z)
• Hierarchical analytical approach to universal spectral correlations in Brownian Quantum Chaos [44.99833362998488]
  We develop an analytical approach to the spectral form factor and out-of-time ordered correlators in zero-dimensional Brownian models of quantum chaos.
  arXiv  Detail & Related papers  (2024-10-21T10:56:49Z)
• Noninvertible Symmetry-Resolved Affleck-Ludwig-Cardy Formula and Entanglement Entropy from the Boundary Tube Algebra [0.0]
  We derive a refined version of the Affleck-Ludwig-Cardy formula for a 1+1d conformal field theory. We use this to determine the universal leading and sub-leading contributions to the noninvertible symmetry-resolved entanglement entropy of a single interval.
  arXiv  Detail & Related papers  (2024-09-04T15:25:05Z)
• Emergent Ashkin-Teller criticality in a constrained boson model [0.0]
  We show, via explicit computation on a constrained bosonic model, that the presence of subsystem symmetries can lead to a quantum phase transition. We provide an effective Landau-Ginzburg theory for such a transition, and discuss the connection of our model to the universality model describing Rydberg atom arrays.
  arXiv  Detail & Related papers  (2023-11-20T19:00:03Z)
• Symmetry-resolved Entanglement Entropy, Spectra & Boundary Conformal Field Theory [0.0]
  We perform a comprehensive analysis of the symmetry-resolved entanglement entropy (EE) for one single interval in the ground state of a $1+1$D conformal field theory (CFT) We utilize the boundary CFT approach to study the total EE, which enables us to find the universal leading order behavior of the SREE. We derive the symmetry-resolved entanglement spectra for a CFT invariant under a finite symmetry group.
  arXiv  Detail & Related papers  (2023-09-06T18:03:14Z)
• Regularizing Towards Soft Equivariance Under Mixed Symmetries [23.603875905608565]
  We present a regularizer-based method for building a model for a dataset with mixed approximate symmetries. We show that our method achieves better accuracy than prior approaches while discovering the approximate symmetry levels correctly.
  arXiv  Detail & Related papers  (2023-06-01T05:33:41Z)
• Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
  Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications. We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
  arXiv  Detail & Related papers  (2023-01-18T11:29:49Z)
• The phase diagram and vortex properties of PT-symmetric non-Hermitian two-component superfluid [0.0]
  We discuss the phase diagram and properties of global vortices in the non-Hermitian parity-time-symmetric relativistic model. In the long-range limit of two-component Bose-Einstein condensates, the vortices from different condensates experience mutual dissipative dynamics unless their cores overlap precisely.
  arXiv  Detail & Related papers  (2021-05-16T15:30:48Z)
• Fano interference in quantum resonances from angle-resolved elastic scattering [62.997667081978825]
  We show that probing the angular dependence of the cross section allows us to unveil asymmetric Fano profiles in a single channel shape resonance. We observe a shift in the peak of the resonance profile in the elastic collisions between metastable helium and deuterium molecules.
  arXiv  Detail & Related papers  (2021-05-12T20:41:25Z)
• SYK meets non-Hermiticity II: measurement-induced phase transition [16.533265279392772]
  We analytically derive the effective action in the large-$N$ limit and show that an entanglement transition is caused by the symmetry breaking in the enlarged replica space. We also verify the large-$N$ critical exponents by numerically solving the Schwinger-Dyson equation.
  arXiv  Detail & Related papers  (2021-04-16T17:55:08Z)
• Spontaneous and explicit parity-time-symmetry breaking in drift wave instabilities [84.14613391584454]
  We show that spontaneous PT-symmetry breaking leads to the Ion Temperature Gradient (ITG) instability of drift waves, and the collisional instability is the result of explicit PT-symmetry breaking. It is also found that gradients of ion temperature and density can destabilize the ion cyclotron waves when PT symmetry is explicitly broken by a finite collisionality.
  arXiv  Detail & Related papers  (2020-10-19T15:59:12Z)
• The hidden symmetry of the asymmetric quantum Rabi model [0.0]
  The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $epsiloninfrac12mathbbZ$ of the bias parameter $epsilon$. These level crossings are expected to be associated with some hidden symmetry of the model.
  arXiv  Detail & Related papers  (2020-10-06T05:57:35Z)
• Role of generalized parity in the symmetry of fluorescence spectrum from two-level systems under periodic frequency modulation [1.6058099298620423]
  We study the origin of the symmetry of the fluorescence spectrum from the two-level system subjected to a low-frequency periodic modulation. We find that the fundamental origin of symmetry of the spectrum can be attributed to the presence of the generalized parity of the Floquet states.
  arXiv  Detail & Related papers  (2020-03-11T06:04:09Z)

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.