Tunable Statistics-Induced Caging in the Anyon-Hubbard Model

• URL: http://arxiv.org/abs/2608.15739v1
• Date: Sun, 16 Aug 2026 13:35:01 GMT
• Title: Tunable Statistics-Induced Caging in the Anyon-Hubbard Model
• Abstract summary: We study the quantum dynamics of two interacting anyons in the Anyon-Hubbard model on a four-site plaquette.<n>We reveal that static Aharonov-Bohm (AB) caging, induced by only specific statistical phases, emerges in the strongly interacting limit but breaks down under weak interparticle interactions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the quantum dynamics of two interacting anyons in the Anyon-Hubbard model on a four-site plaquette, a system that is exactly mappable to a Bose-Hubbard model. We reveal that static Aharonov-Bohm (AB) caging, induced by only specific statistical phases, emerges in the strongly interacting limit but breaks down under weak interparticle interactions. To address this, we demonstrate that statistical-factor-induced AB caging can be dynamically restored via Floquet engineering. This dynamical mechanism, governed by the synthetic Floquet flux and the anyonic statistical phase, extends the caging effect into the weakly interacting regime across the full spectrum of statistical phases. Furthermore, we show that the external drive enables the selective caging of anyons, providing an efficient approach for manipulating anyons and identifying statistical phases.

Related papers

• Fluctuation-Induced Bistability in the Dissipative Dynamics of Generic Cavity-Matter Quantum Systems [0.0]
  We identify a common microscopic mechanism based on resonances between photonic transitions and many-body energy scales.<n>We develop complementary methods to study both the steady-state properties of fluctuation-induced bistability and its dynamical formation at finite times.<n>Our results establish fluctuation-induced bistability as a universal feature of dissipative cavity-coupled many-body systems.
  arXiv  Detail & Related papers  (2026-07-23T13:21:19Z)
• Quantum statistical enhancement of collective behaviour in a bosonic active Ising model [36.94429692322632]
  We introduce and study a one-dimensional (1D) quantum lattice variant of the active Ising model (AIM)<n>We find that both the collective behaviours of the 1D classical model, flocking and aster formation, are markedly enhanced by the bosonic quantum statistics.
  arXiv  Detail & Related papers  (2026-06-16T15:56:07Z)
• Statistics-governed dynamical scaling in interacting anyonic chains [5.642792613575338]
  We investigate the far-from-equilibrium many-body relaxation of anyons in a one-dimensional lattice.<n>We find that in the weakly interacting regime, anyonic statistics leads to emergent superdiffusive scaling in particle transport.<n>Our results establish anyonic statistics as a distinct source of universal nonequilibrium dynamics beyond bosons and fermions.
  arXiv  Detail & Related papers  (2026-03-16T22:43:02Z)
• Discovery of interaction and diffusion kernels in particle-to-mean-field multi-agent systems [41.99844472131922]
  We propose a data-driven framework to learn interaction kernels in multi-agent systems.<n>Our approach aims at identifying the functional form of nonlocal interaction and diffusion terms directly from trajectory data.
  arXiv  Detail & Related papers  (2026-03-16T21:19:25Z)
• Bath-free squeezed phonon lasing via intrinsic ion-phonon coupling [15.168370684071173]
  We present a theoretical model for realizing squeezed lasing in a trapped-ion system without relying on engineered baths or tailored dissipative reservoirs.<n>Our approach leverages the intrinsic ion-phonon interactions, where two trapped ions, each interacting with a shared vibrational mode, are driven on both red- and blue-sideband transitions.<n>This enables the creation of a squeezed state of motion through the dynamic coupling between the ions' internal states and the phonon mode.
  arXiv  Detail & Related papers  (2026-01-09T06:47:10Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• Fast-Forward Lattice Boltzmann: Learning Kinetic Behaviour with Physics-Informed Neural Operators [37.65214107289304]
  We introduce a physics-informed neural operator framework for the lattice Boltzmann equation (LBE)<n>Our framework is discretization-invariant, enabling models trained on coarse lattices to generalise to finer ones.<n>Results demonstrate robustness across complex flow scenarios, including von Karman vortex shedding, ligament breakup, and bubble adhesion.
  arXiv  Detail & Related papers  (2025-09-26T14:36:23Z)
• Collisional model with dissipative and dephasing baths: Nonadditive effects at strong coupling [39.146761527401424]
  We show that when both baths act concurrently, a strong system-bath coupling gives rise to nonadditive effects in the dynamics.<n>A prominent signature of this nonadditivity is the characteristic it slowing down of population relaxation, driven by the influence of the dephasing bath.
  arXiv  Detail & Related papers  (2025-09-13T21:37:43Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment.<n>We find sufficient conditions under which dynamical decoupling works for such systems.<n>Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Statistical and dynamical aspects of quantum chaos in a kicked Bose-Hubbard dimer [7.737485570054659]
  We study a kicked two-site Bose-Hubbard model (Bose-Hubbard dimer) with the on-site potential difference being periodically modulated. By analyzing spectral statistics of Floquet operator, we unveil that the system undergoes a transition from regularity to chaos with increasing the interaction strength. The semiclassical analysis also suggests that the system in chaotic regime may display different dynamical behavior depending on the choice of initial states.
  arXiv  Detail & Related papers  (2023-12-13T14:10:54Z)
• Thermodynamics of Statistical Anyons [0.0]
  In low-dimensional systems, indistinguishable particles can display statistics that interpolate between bosons and fermions. Signatures of these "anyons" have been detected in two-dimensional quasiparticle excitations of the fractional quantum Hall effect. We propose "statistical anyons" realized through a statistical mixture of particles with bosonic and fermionic symmetry.
  arXiv  Detail & Related papers  (2021-02-03T18:18:09Z)
• Efficient Inference of Flexible Interaction in Spiking-neuron Networks [41.83710212492543]
  We use the nonlinear Hawkes process to model excitatory or inhibitory interactions among neurons. We show our algorithm can estimate the temporal dynamics of interaction and reveal the interpretable functional connectivity underlying neural spike trains.
  arXiv  Detail & Related papers  (2020-06-23T09:10:30Z)

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.