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This review summarizes recent advances in our understanding of anomalous transport in spin chains, viewed through the lens of integrability. Numerical advances, based on tensor-network methods, have shown that transport in many canonical…

统计力学 · 物理学 2021-08-23 Vir B. Bulchandani , Sarang Gopalakrishnan , Enej Ilievski

Simulation of a Langevin-dynamics model demonstrates emergence of critical fluctuations and anomalous grain transport which have been observed in experiments on "soft" quasi-two-dimensional dusty plasma clusters. It has been suggested that…

软凝聚态物质 · 物理学 2015-05-13 S. Ratynskaia , G. Regnoli , K. Rypdal , B. Klumov , G. Morfill

Symmetries strongly influence transport properties of quantum many-body systems, and can lead to deviations from the generic case of diffusion. In this work, we study the impact of time-reversal symmetry breaking on the transport and its…

In this letter we study the non-equilibrium spin dynamics in the non-integrable spin-1 XXZ chain, emerging after joining two macroscopic pure states with different magnetizations. Employing the so-called time-dependent variational principle…

统计力学 · 物理学 2020-02-26 Marko Medenjak , Jacopo De Nardis

Many experimentally relevant quantum spin chains are approximately integrable, and support long-lived quasiparticle excitations. A canonical example of integrable model of quantum magnetism is the XXZ spin chain, for which energy spreads…

强关联电子 · 物理学 2023-02-03 Sarang Gopalakrishnan , Romain Vasseur

Thermal fluctuations of nanomagnets driven by spin-polarized currents are treated via the Landau-Lifshitz-Gilbert equation generalized to include both the random thermal noise field and the Slonczewski spin-transfer torque term. By…

统计力学 · 物理学 2013-10-09 Y. P. Kalmykov , W. T. Coffey , S. V. Titov , J. E. Wegrowe , D. Byrne

We address spin transport in the easy-axis Heisenberg spin chain subject to integrability-breaking perturbations. We find that spin transport is subdiffusive with dynamical exponent $z=4$ up to a timescale that is parametrically long in the…

统计力学 · 物理学 2022-08-23 Jacopo De Nardis , Sarang Gopalakrishnan , Romain Vasseur , Brayden Ware

In this paper, we consider a model for the spin-magnetization system that takes into account the diffusion process of the spin accumulation. This model consists of the Landau-Lifshitz equation describing the precession of the magnetization,…

偏微分方程分析 · 数学 2018-08-07 Xueke Pu , Wendong Wang

We study the finite-momentum spin dynamics in the one-dimensional XXZ spin chain within the Ising-type regime at high temperatures using density autocorrelations within linear response theory and real-time propagation of nonequilibrium…

强关联电子 · 物理学 2012-06-12 R. Steinigeweg , J. Herbrych , P. Prelovšek , M. Mierzejewski

The problem of characterizing low-temperature spin dynamics in antiferromagnetic spin chains has so far remained elusive. We reinvestigate it by focusing on isotropic antiferromagnetic chains whose low-energy effective field theory is…

统计力学 · 物理学 2019-11-06 Jacopo De Nardis , Marko Medenjak , Christoph Karrasch , Enej Ilievski

Magnetic materials host a wealth of nonlinear dynamics, textures, and topological defects. This is possible due to the competition between strong nonlinearity and dispersion that act at the atomic scale as well as long-range interactions.…

介观与纳米尺度物理 · 物理学 2024-07-02 Kyle Rockwell , Joel Hirst , Thomas A. Ostler , Ezio Iacocca

The dynamics of spin at finite temperature in the spin-1/2 Heisenberg chain was found to be superdiffusive in numerous recent numerical and experimental studies. Theoretical approaches to this problem have emphasized the role of nonabelian…

统计力学 · 物理学 2022-06-20 Pieter W. Claeys , Austen Lamacraft , Jonah Herzog-Arbeitman

We conduct a comprehensive study of anomalous charge transport in the quantum sine--Gordon model. Employing the framework of Generalized Hydrodynamics, we compute Drude weights and Onsager matrices across a wide range of coupling strengths…

统计力学 · 物理学 2026-01-23 Frederik Møller , Botond C. Nagy , Márton Kormos , Gábor Takács

Introducing a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore particles with internal degrees of freedom (called charge), we exhibit a novel type of dynamical…

统计力学 · 物理学 2024-03-11 Žiga Krajnik , Johannes Schmidt , Vincent Pasquier , Tomaž Prosen , Enej Ilievski

We study the universal nature of global fluctuations in the critical regime of the spherical model by evaluating the exact distribution of the magnetization and its absolute value in the thermodynamical limit, in the presence of a conjugate…

统计力学 · 物理学 2015-06-11 Jean-Yves Fortin , Sophie Mantelli

We study the distribution of finite size pseudo-critical points in a one-dimensional random quantum magnet with a quantum phase transition described by an infinite randomness fixed point. Pseudo-critical points are defined in three…

无序系统与神经网络 · 物理学 2008-03-12 Ferenc Iglói , Yu-Cheng Lin , Heiko Rieger , Cécile Monthus

We consider a one-dimensional microscopic reaction-diffusion process obtained as a superposition of a Glauber and a Kawasaki dynamics. The reaction term is tuned so that a dynamical phase transition occurs in the model as a suitable…

概率论 · 数学 2025-05-27 Benoit Dagallier , Claudio Landim

We study stationary fluctuations at criticality for a one-dimensional reaction--diffusion process combining symmetric simple exclusion dynamics with Glauber-type spin flips. The strength of the Glauber interaction is tuned to the critical…

概率论 · 数学 2026-03-11 Luis Cardoso , Claudio Landim , Kenkichi Tsunoda

Based on the ballistic macroscopic fluctuation theory, the integration of the spin correlation function (spin conductivity) is analyzed for the spin-1/2 XXZ chain in the critical regime. In the time when the magnetization of an infinite…

统计力学 · 物理学 2026-05-05 Shinya Ae

The Anderson transitions in a random magnetic field in three dimensions are investigated numerically. The critical behavior near the transition point is analyzed in detail by means of the transfer matrix method with high accuracy for…

无序系统与神经网络 · 物理学 2017-09-27 T. Kawarabayashi , B. Kramer , T. Ohtsuki