Slow dynamics and magnon bound states in the 2D long-range quantum Ising model

• URL: http://arxiv.org/abs/2512.09037v1
• Date: Tue, 09 Dec 2025 19:00:06 GMT
• Title: Slow dynamics and magnon bound states in the 2D long-range quantum Ising model
• Authors: Vighnesh Dattatraya Naik, Markus Heyl,
• Abstract summary: Long-range quantum Ising models represent a frontier in experimental physics.<n>We show that the dynamics exhibit slow relaxation with long-lived oscillations.<n>Our results are readily observable in current quantum simulation platforms.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The dynamics of long-range quantum Ising models represents a current frontier in experimental physics, notably in trapped ions or Rydberg atomic systems. However, a theoretical description of these dynamics beyond 1D remains a significant challenge for conventional methods. Here, we address this challenge by means of neural quantum states to simulate global quenches from the fully polarized ferromagnetic state in the 2D quantum Ising model with power-law decaying interactions. From these numerically exact simulations, we find that the dynamics exhibit slow relaxation with long-lived oscillations. We explain this behavior through a theory for the formation of magnon bound states, which are generated, as we show, through effective attractive interactions between magnons that persist over several lattice sites due to the power-law nature of the interactions. Our results are readily observable in current quantum simulation platforms realizing long-range interacting models such as in Rydberg atomic systems.

Related papers

• Non-perturbatively slow spread of quantum correlations in non-resonant systems [0.0]
  We show that strong disorder leads to a non-perturbatively small velocity for ballistic information transport under unitary quantum dynamics.<n>We also prove the existence of a "prethermal many-body localized regime", where entanglement spreads logarithmically slowly.
  arXiv  Detail & Related papers  (2025-10-13T18:29:36Z)
• Probing emergent prethermal dynamics and resonant melting on a programmable quantum simulator [28.28351393962583]
  dynamics of isolated quantum systems following a sudden quench plays a central role in many areas of material science, high-energy physics, and quantum chemistry.<n>Here, we use a programmable neutral atom quantum simulator to explore quench dynamics in spin models with up to 180 qubits.<n>We trace their robustness to Floquet-like prethermal steady states that are stabilized over long emergent timescales.
  arXiv  Detail & Related papers  (2025-10-13T17:58:04Z)
• Multi-Photon Quantum Rabi Models with Center-of-Mass Motion [45.73541813564926]
  We introduce a rigorous, second-quantized framework for describing multi-$Lambda$-atoms in a cavity.<n>A key feature of our approach is the systematic application of a Hamiltonian averaging theory to the atomic field operators.<n>A significant finding is the emergence of a particle-particle interaction mediated by ancillary states.
  arXiv  Detail & Related papers  (2025-07-07T09:50:48Z)
• Constructive interference at the edge of quantum ergodic dynamics [116.94795372054381]
  We characterize ergodic dynamics using the second-order out-of-time-order correlators, OTOC$(2)$.<n>In contrast to dynamics without time reversal, OTOC$(2)$ are observed to remain sensitive to the underlying dynamics at long time scales.
  arXiv  Detail & Related papers  (2025-06-11T21:29:23Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Dynamics of a Generalized Dicke Model for Spin-1 Atoms [0.0]
  The Dicke model is a staple of theoretical cavity Quantum Electrodynamics (cavity QED) It demonstrates a rich variety of dynamics such as phase transitions, phase multistability, and chaos. The varied and complex behaviours admitted by the model highlights the need to more rigorously map its dynamics.
  arXiv  Detail & Related papers  (2024-03-04T04:09:35Z)
• 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)
• Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
  Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems. We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices. This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
  arXiv  Detail & Related papers  (2023-06-01T16:49:20Z)
• Entangling dynamics from effective rotor/spin-wave separation in U(1)-symmetric quantum spin models [0.0]
  Non-equilibrium dynamics of quantum spin models is a most challenging topic, due to the exponentiality of Hilbert space. A particularly important class of evolutions is the one governed by U(1) symmetric Hamiltonians. We show that the dynamics of the OAT model can be closely reproduced by systems with power-lawdecaying interactions.
  arXiv  Detail & Related papers  (2023-02-18T09:37:45Z)
• Observation of magnon bound states in the long-range, anisotropic Heisenberg model [0.0]
  Floquet engineering is a versatile tool for realizing novel Hamiltonians. We experimentally realize a long-ranged, anisotropic Heisenberg model with tunable interactions in a trapped ion quantum simulator.
  arXiv  Detail & Related papers  (2022-12-07T19:00:22Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)

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.