Two-parameter Family-Vicsek scaling in a dissipative XXZ spin chain

• URL: http://arxiv.org/abs/2603.23388v1
• Date: Tue, 24 Mar 2026 16:19:10 GMT
• Title: Two-parameter Family-Vicsek scaling in a dissipative XXZ spin chain
• Abstract summary: Family-Vicsek (FV) scaling provides an understanding for the growth and finite-size saturation of fluctuations in classical systems.<n>Here, we extend the FV roughness to transferred segment magnetization after quantum quenches in a dissipative XXZ spin chain with homogeneous gain and loss.<n>For interacting chains, tensor-network simulations show that the non-dissipative ballistic growth at finite magnetization is robust, whereas the full Lindblad evolution is generically controlled by the dissipative relaxation time and exhibits a dissipation-dominated collapse.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Family-Vicsek (FV) scaling provides an understanding for the growth and finite-size saturation of fluctuations in classical systems. Here, we extend the FV roughness to transferred segment magnetization after quantum quenches in a dissipative XXZ spin chain with homogeneous gain and loss, starting from a nonequilibrium steady state with finite magnetization. In the non-interacting limit, we derive a closed-form expression for the roughness in the presence of dissipation. It displays two-parameter FV scaling and smoothly interpolates between the clean ballistic behavior and the dissipation dominated scalings. For interacting chains, tensor-network simulations show that the non-dissipative ballistic growth at finite magnetization is robust, whereas the full Lindblad evolution is generically controlled by the dissipative relaxation time and exhibits a dissipation-dominated collapse.

Related papers

• Magnetic long-range order at finite temperature in two-dimensional hyperbolic lattices [45.88028371034407]
  Infrared singularities of gapless Goldstone modes preclude magnetic long-range order at finite temperature in conventional two-dimensional systems.<n>We find that the zero-energy collective modes required by symmetry carry vanishing local spectral weight.<n>We estimate the ordering temperature from the thermal spin-wave correction to the ordered moment.
  arXiv  Detail & Related papers  (2026-06-25T18:00:01Z)
• Entanglement dynamics after quenches with inhomogeneous Hamiltonians [0.0]
  We investigate entanglement dynamics in bipartite systems governed by inhomogeneous Hamiltonians of the form $H = H_L + H_R$.<n>We derive analytical formulas for the entanglement entropy between the two regions in the hydrodynamic limit of long times.
  arXiv  Detail & Related papers  (2026-05-02T20:07:04Z)
• Quantum channel for modeling spin-motion dephasing in Rydberg chains [44.99833362998488]
  We introduce a quantum channel to model the dissipative dynamics resulting from the coupling between spin and motional degrees of freedom in chains of neutral atoms with Rydberg interactions.<n>We benchmark the accuracy of our approach against exact diagonalization for small systems, identifying its regime of validity and the onset of perturbative breakdown.<n>We then apply the quantum channel to compute fidelity loss during transport of single-spin excitations across extended Rydberg chains in intractable regimes via exact diagonalization.
  arXiv  Detail & Related papers  (2025-06-30T17:37:38Z)
• Quantum Avalanches in $\mathbb{Z}_2$-preserving Interacting Ising Majorana Chain [13.135604356093193]
  Recent numerical works have revealed the instability of many-body localized (MBL) phase in disordered quantum many-body systems.<n>This instability arises from Griffith regions that occur at the limit, which rapidly thermalize and affect the surrounding typical MBL regions.<n>We show that both MBL paramagnetic phase and MBL spin-glass phase are unstable at finite sizes.
  arXiv  Detail & Related papers  (2025-01-10T15:54:26Z)
• Information scrambling and entanglement dynamics in Floquet Time Crystals [49.1574468325115]
  We study the dynamics of out-of-time-ordered correlators (OTOCs) and entanglement of entropy as measures of information propagation in disordered systems.
  arXiv  Detail & Related papers  (2024-11-20T17:18:42Z)
• Hidden time-reversal in driven XXZ spin chains: exact solutions and new dissipative phase transitions [0.0]
  We show that several models of interacting XXZ spin chains subject to boundary driving and dissipation possess a subtle kind of time-reversal symmetry. Our exact solution also directly yields driven-dissipative double-chain models that have pure, entangled steady states that are also current carrying.
  arXiv  Detail & Related papers  (2024-07-17T17:12:53Z)
• Mean-field approach to Mid-spectrum Eigenstates of long-range interacting Quantum Systems [0.5874142059884521]
  We study the equilibrium properties of the spin-$1/2$ XY chain with an infinite-range transverse interaction. We show that the two gapless points of the XY model behave in fundamentally different ways.
  arXiv  Detail & Related papers  (2023-10-15T11:20:35Z)
• Emergence of anyonic correlations from spin and charge dynamics in one dimension [19.444636864515726]
  We propose a transformation for spin and charge degrees of freedom in one-dimensional lattice systems, constrained to have no doubly occupied sites. The transformation delivers particle creation and operators in a form of a spinless particle and a non-local operator acting on the space of states of a spin-$1/2$ chain.
  arXiv  Detail & Related papers  (2023-01-05T17:22:39Z)
• Interface dynamics in the two-dimensional quantum Ising model [0.0]
  We show that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking. We present a detailed analysis of the evolution of these interfaces both on the lattice and in a suitable continuum limit. The implications of our work for the classic problem of the decay of a false vacuum are also discussed.
  arXiv  Detail & Related papers  (2022-09-19T13:08:58Z)
• Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations [0.0]
  The quantum-critical properties of the transverse-field Ising model are investigated by means of quantum Monte Carlo. For ferromagnetic Ising interactions, we resolve the limiting regimes known from field theory, ranging from the nearest-neighbor Ising to the long-range universality classes.
  arXiv  Detail & Related papers  (2021-03-17T07:00:29Z)
• Universal Statistics of Vortices in a Newborn Holographic Superconductor: Beyond the Kibble-Zurek Mechanism [52.77024349608834]
  We investigate universal signatures beyond the celebrated Kibble-Zurek mechanism (KZM) We characterize the distribution of vortices generated in a thermal quench leading to the formation of a holographic superconductor.
  arXiv  Detail & Related papers  (2021-01-06T18:06:40Z)
• Long-range interaction in an open boundary-driven Heisenberg spin lattice: A far-from-equilibrium transition to ballistic transport [62.997667081978825]
  We study an open Heisenberg XXZ spin chain with long-range Ising-type interaction. We find that the chain lengths for this transition are increasing with decreasing range of the Ising-type interactions between distant spins. The transition can be explained by the suppression of ferromagnetic domains at the edges of the chain.
  arXiv  Detail & Related papers  (2020-04-27T12:22:50Z)

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.