Curvature-Induced Nonclassicality in a Generalized Jaynes-Cummings Model

• URL: http://arxiv.org/abs/2507.05407v1
• Date: Mon, 07 Jul 2025 18:46:42 GMT
• Title: Curvature-Induced Nonclassicality in a Generalized Jaynes-Cummings Model
• Authors: Somayeh Kourkinejat, Ali Mahdifar, Ehsan Amooghorban,
• Abstract summary: We investigate the influence of spatial curvature on the Jaynes-Cummings model.<n>We examine how spatial curvature influences the Mandel parameter, entropy, and the behavior of the Wigner distribution function.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we investigate the influence of spatial curvature on the Jaynes-Cummings model. We employ an analog model of general relativity, representing the field inside a cavity using oscillators arranged in a circle instead of a straight line, where increasing curvature corresponds to a smaller circle radius. We investigate the nonclassical features of this quantum system arising from the interaction between a two-level atom and a deformed harmonic oscillator on a circle, which serves as curved-space counterpart to the flat oscillator. We analyze the time evolution of atom-field states and, based on this dynamic, examine how spatial curvature influences the Mandel parameter, entropy, and the behavior of the Wigner distribution function. Our results demonstrate that the spatial curvature plays critical roles in controlling these nonclassical properties.

Related papers

• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation [41.94295877935867]
  We explore the finite-density phase diagram of the single-flavour Gross-Neveu-Wilson (GNW) model.<n>We find a sequence of inhomogeneous ground states that arise through a real-space version of the mechanism of Hilbert-space fragmentation.
  arXiv  Detail & Related papers  (2025-06-23T14:19:35Z)
• Quantum dynamics of a spin model with an extensive degeneracy [0.0]
  We study the role played by extensive degeneracy in shaping the nature of the quantum dynamics of a one-dimensional spin model for both ramp and periodic drive protocols.
  arXiv  Detail & Related papers  (2025-02-11T15:01:07Z)
• Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
  We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
  arXiv  Detail & Related papers  (2023-12-30T16:45:56Z)
• Bloch Oscillations, Landau-Zener Transition, and Topological Phase Evolution in a Pendula Array [0.0]
  We study the dynamics of a one-dimensional array of pendula with a mild spatial gradient in their self-frequency. We map their dynamics to the topological Su-Schrieffer-Heeger model of charged quantum particles on a lattice with alternating hopping rates in an external electric field.
  arXiv  Detail & Related papers  (2023-05-30T20:01:52Z)
• 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)
• Geometric phase in a dissipative Jaynes-Cummings model: theoretical explanation for resonance robustness [68.8204255655161]
  We compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models. In the dissipative model, the non-unitary effects arise from the outflow of photons through the cavity walls. We show the geometric phase is robust, exhibiting a vanishing correction under a non-unitary evolution.
  arXiv  Detail & Related papers  (2021-10-27T15:27:54Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• Coherent states on a circle: the Higgs-like approach [0.0]
  We analyze the quantum dynamics of a harmonic oscillator constrained on a circle. We construct the coherent states on the circle and investigate their quantum statistical properties. We find that such states show nonclassical features like squeezing and sub-Poissonian statistics even in small curvatures of the circle.
  arXiv  Detail & Related papers  (2021-09-06T06:00:46Z)
• 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)
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model [0.0]
  We develop a truncated Hamiltonian method to study nonequilibrium real time dynamics in the Schwinger model. We show that the 1+1D quantum electrodynamics admits the dynamical horizon violation effect.
  arXiv  Detail & Related papers  (2021-01-19T19:00:07Z)
• Quantum particle motion on the surface of a helicoid in the presence of harmonic oscillator [0.0]
  We study the consequences of a helicoidal geometry in the Schr"odinger equation dealing with an anisotropic mass tensor. We determine the eigenfunctions in terms of Confluent Heun Functions and compute the respective energy levels.
  arXiv  Detail & Related papers  (2020-05-03T23:47:11Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.