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The conventional wisdom suggests that transports of conserved quantities in non-integrable quantum many-body systems at high temperatures are diffusive. However, we discover a counterexample of this paradigm by uncovering anomalous…

量子物理 · 物理学 2024-03-27 Ang Yang , Jinlou Ma , Lei Ying

Generalised hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. However, the ballistic contribution to transport can vanish in systems with additional…

统计力学 · 物理学 2017-07-14 Marko Ljubotina , Marko Znidaric , Tomaz Prosen

We establish a general connection between ballistic and diffusive transport in systems where the ballistic contribution in canonical ensemble vanishes. A lower bound on the Green-Kubo diffusion constant is derived in terms of the curvature…

统计力学 · 物理学 2017-08-29 Marko Medenjak , Christoph Karrasch , Tomaz Prosen

We study the heat conduction of the spin-1/2 XXZ chain in finite magnetic fields where magnetothermal effects arise. Due to the integrability of this model, all transport coefficients diverge, signaled by finite Drude weights. Using exact…

强关联电子 · 物理学 2007-05-23 F. Heidrich-Meisner , A. Honecker , W. Brenig

The quantum XXZ spin-1/2 chain features non-Gaussian spin current fluctuations in the regime of easy-axis anisotropy. Using ballistic macroscopic fluctuation theory, we derive the exact probability distribution of typical spin-current…

统计力学 · 物理学 2026-03-27 Takato Yoshimura , Žiga Krajnik , Alvise Bastianello , Enej Ilievski

We study quantum transport properties of an open Heisenberg XXZ spin 1/2 chain driven by a pair of Lindblad jump operators satisfying a global `microcanonical' constraint, i.e. conserving the total magnetization. We will show that this…

量子物理 · 物理学 2012-08-10 Berislav Buca , Tomaz Prosen

We report a detailed analysis of the Drude weights for both thermal and spin transport in one dimensional spin-1/2 systems by means of exact diagonalization and analytic approaches at finite temperatures. Transport properties are studied…

强关联电子 · 物理学 2020-03-31 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

We consider non-linear ballistic spin transport in the XXZ spin chain and derive an analytical result for the non-linear Drude weight $D^{(3)}$ at infinite temperatures. In contrast to the linear Drude weight $D^{(1)}$, we find that the…

强关联电子 · 物理学 2022-08-29 A. Urichuk , A. Klümper , J. Sirker

We study the spin transport properties of some disordered spin chains with a special focus on the distribution of the frequency-dependent spin conductivity. In the cases of interest here, the systems are governed by an effectively infinite…

无序系统与神经网络 · 物理学 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

The spin-$1/2$ XXZ chain is an integrable lattice model and parts of its spin current can be protected by local conservation laws for anisotropies $-1<\Delta<1$. In this case, the Drude weight $D(T)$ is non-zero at finite temperatures $T$.…

统计力学 · 物理学 2021-06-04 Andrew Urichuk , Jesko Sirker , Andreas Klümper

We study one-dimensional anisotropic XY-Heisenberg spin-$\frac{1}{2}$ chain with weak random fields $h_i^z S^z_i$ by means of Jordan-Wigner transformation to spinless Luttinger liquid with disorder and bosonization technique. First we…

介观与纳米尺度物理 · 物理学 2016-01-08 Igor Poboiko , Mikhail Feigel'man

Finite-temperature spin transport in integrable isotropic spin chains (i.e., spin chains with continuous nonabelian symmetries) is known to be superdiffusive, with anomalous transport properties displaying remarkable robustness to isotropic…

统计力学 · 物理学 2024-12-10 Catherine McCarthy , Sarang Gopalakrishnan , Romain Vasseur

Based on a generalized free energy we derive exact thermodynamic Bethe ansatz formulas for the expectation value of the spin current, the spin current-charge, charge-charge correlators, and consequently the Drude weight. These formulas…

统计力学 · 物理学 2019-01-16 A. Urichuk , Y. Oez , A. Klümper , J. Sirker

We study high-temperature spin transport through an anisotropic spin-1/2 Heisenberg chain in which integrability is broken by a single impurity close to the center of the chain. For a finite impurity strength, the level spacing statistics…

强关联电子 · 物理学 2018-12-24 Marlon Brenes , Eduardo Mascarenhas , Marcos Rigol , John Goold

We study the spin and thermal conductivity of spin-1/2 ladders at finite temperature. This is relevant for experiments with quantum magnets. Using a state-of-the-art density matrix renormalization group algorithm, we compute the current…

强关联电子 · 物理学 2015-06-23 C. Karrasch , D. M. Kennes , F. Heidrich-Meisner

The transport of magnetization is analyzed for the classical Heisenberg chain at and especially above the isotropic point. To this end, the Hamiltonian equations of motion are solved numerically for initial states realizing harmonic-like…

统计力学 · 物理学 2012-03-15 Robin Steinigeweg

High-temperature spin transport in integrable quantum spin chains exhibits a rich dynamical phase diagram, including ballistic, superdiffusive, and diffusive regimes. While integrability is known to survive in static and periodically driven…

统计力学 · 物理学 2026-02-11 Songlei Wang , Chenguang Liang , Hongzheng Zhao , Zhi-Cheng Yang

We present results on the low-frequency dynamical and transport properties of random quantum systems whose low temperature ($T$), low-energy behavior is controlled by strong disorder fixed points. We obtain the momentum and frequency…

无序系统与神经网络 · 物理学 2009-10-31 Olexei Motrunich , Kedar Damle , David A. Huse

We study the non-equilibrium transport properties of a highly anisotropic two-dimensional lattice of spin-1/2 particles governed by a Heisenberg XXZ Hamiltonian. The anisotropy of the lattice allows us to approximate the system at finite…

强关联电子 · 物理学 2016-11-22 J. J. Mendoza-Arenas , M. T. Mitchison , S. R. Clark , J. Prior , D. Jaksch , M. B. Plenio

Explicit matrix product ansatz is presented, in first two orders in the (weak) coupling parameter, for the non-equilibrium steady state of the homogeneous, nearest neighbor Heisenberg XXZ spin-1/2 chain driven by Lindblad operators which…

强关联电子 · 物理学 2011-05-30 Tomaz Prosen