Finite-temperature crossover from coherent magnons to energy superdiffusion in the PXP model

• URL: http://arxiv.org/abs/2605.19281v2
• Date: Tue, 26 May 2026 17:02:35 GMT
• Title: Finite-temperature crossover from coherent magnons to energy superdiffusion in the PXP model
• Abstract summary: The PXP chain was recently shown to exhibit superdiffusive energy transport with Kardar-Parisi-Zhang-like scaling.<n>We show that finite-temperature energy transport in this model provides a window into the emergence of superdiffusion.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The PXP chain was recently shown to exhibit superdiffusive energy transport with Kardar-Parisi-Zhang-like scaling, $z\approx3/2$, joining a growing number of spin chains with this exponent. An understanding of how this anomalous hydrodynamics emerges from microscopics is, however, still lacking. In this work, we show that finite-temperature energy transport in this model provides a window into the emergence of superdiffusion. At finite temperature, the energy autocorrelation function exhibits a crossover from short-time coherent dynamics to long-time hydrodynamics. The short-time behavior is dominated by a single magnon band and can be understood analytically. In momentum space, this regime is characterized by spectral weight near $q=π$. The damping time $τ$, which separates the short-time magnon-dominated behavior from the late-time hydrodynamics, grows rapidly upon cooling, consistent with an activated form $τ(β)\sim βe^{Δβ}$ with a gap scale set by the magnon band. At longer times, the spectral weight transfers to $q=0$ and the running decay exponent drifts toward the superdiffusive value $z=3/2$. Finite-temperature energy transport therefore provides a bridge between microscopic magnon physics and late-time superdiffusion in the PXP model.

Related papers

• Stroboscopic stability of a Floquet chiral spin liquid beyond the folding frequency [0.0]
  We show that, decreasing the frequency, the topological doublet survives the drive far beyond the frequency.<n>Time evolution over thousands of periods shows no heating for $gtrsim _mathrmres$ and only slow absorption below.<n>We argue that this mechanism is precisely the one expected to survive in the thermodynamic limit.
  arXiv  Detail & Related papers  (2026-07-17T21:32:55Z)
• Hubbard model at U=$\infty$: Role of single and two-boson fluctuations [0.8857443660746979]
  We consider the U=$infty$ Hubbard model and used the equation of motion method to calculate the fermion self-energy.<n>The emergent bosons here are self-generated local charge and spin-density fluctuations which become strongly time-dependent due to extreme correlations.<n>The resistivity shows a linear temperature dependence over a broad range, crossing over to coherent Fermi-liquid behavior at extremely low temperatures.
  arXiv  Detail & Related papers  (2026-03-16T18:15:44Z)
• Local-to-Global Entanglement Dynamics by Periodically Driving Impurities [0.0]
  We study the entanglement dynamics of a one-dimensional spin chain subject to a local Floquet drive of a two-site impurity.<n>For large drive periods $T$, we observe a linear growth in entanglement entropy (EE), indicating a heating phase with volume law entanglement.<n>For driving periods below a critical value $T_ast$, the EE grows subextensively with time, characteristic of a local quantum quench.
  arXiv  Detail & Related papers  (2025-10-23T18:02:22Z)
• Unifying Floquet theory of longitudinal and dispersive readout [33.7054351451505]
  We devise a Floquet theory of longitudinal and dispersive readout in circuit QED.<n>We apply them to superconducting and spin-hybrid cQED systems.
  arXiv  Detail & Related papers  (2024-07-03T18:00:47Z)
• Waveguide quantum electrodynamics at the onset of spin-spin correlations [36.136619420474766]
  We find that molecules belonging to one of the two crystal sublattices form one-dimensional spin chains.<n>The microwave transmission shows evidences for the collective coupling of quasi-identical spins to the propagating photons.
  arXiv  Detail & Related papers  (2024-04-04T18:00:05Z)
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model [44.84660857803376]
  We study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The robustness of $pi$ pairings against longitudinal disorder may be useful for quantum information processing.
  arXiv  Detail & Related papers  (2024-01-09T20:37:48Z)
• The ballistic to diffusive crossover in a weakly-interacting Fermi gas [0.0]
  We develop a numerical method to simulate systems of fermions at high temperatures by adapting Dissipation-assisted Operator Evolution to fermions. Applying our method to a microscopic model of weakly interacting fermions, we numerically demonstrate that the crossover from ballistic to diffusive transport happens at a time. We substantiate this scaling with a Fermi's golden rule calculation in the operator spreading picture, interpreting $t_D$ as the fermion-fermion scattering time and lifetime of the single-particle Green's function.
  arXiv  Detail & Related papers  (2023-10-24T17:57:11Z)
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
  Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
  arXiv  Detail & Related papers  (2022-05-19T13:28:47Z)
• Ultrafast dynamics of cold Fermi gas after a local quench [0.0]
  We consider non-equilibrium dynamics of two initially independent reservoirs $A$ and $B$ filled with a cold Fermi gas coupled and decoupled by two quantum quenches following one another. We find that the von Neumann entropy production induced by the quench is faster than thermal transport between the reservoirs. We show that once $A$ and $B$ become coupled, their entropies grow (on a timescale of the Fermi time) faster than the heat flow within the system.
  arXiv  Detail & Related papers  (2021-08-26T21:00:00Z)
• Long-lived period-doubled edge modes of interacting and disorder-free Floquet spin chains [68.8204255655161]
  We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived. A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
  arXiv  Detail & Related papers  (2021-05-28T12:13:14Z)
• Floquet prethermalization with lifetime exceeding 90s in a bulk hyperpolarized solid [43.55994393060723]
  We observe long-lived Floquet prethermal states in a bulk solid composed of dipolar-coupled $13$C nuclei in diamond at room temperature. For precessing nuclear spins prepared in an initial transverse state, we demonstrate pulsed spin-lock Floquet control.
  arXiv  Detail & Related papers  (2021-04-05T16:31:02Z)
• Inhomogeneity induced shortcut to adiabaticity in Ising chains with long-range interactions [0.0]
  Quenches designed with local time-dependent inhomogeneity can introduce a gap in the spectrum. We show that we get an adiabatic transition with no defects only when the inhomogeneous front moves slower than a characteristic crossover velocity. This effect can be employed for efficient adiabatic quantum state preparation in systems with long-range interactions.
  arXiv  Detail & Related papers  (2020-10-12T11:45:03Z)
• 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.