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We study the dynamics of spin currents in the XX spin-1/2 ladder at finite temperature. Within the framework of linear response theory, we numerically calculate autocorrelation functions for quantum systems larger than what is accessible…

Strongly Correlated Electrons · Physics 2014-09-29 R. Steinigeweg , F. Heidrich-Meisner , J. Gemmer , K. Michielsen , H. De Raedt

The thermalization phenomenon and many-body quantum statistical properties are studied on the example of several observables in isolated spin-chain systems, both integrable and generic non-integrable ones. While diagonal matrix elements for…

Strongly Correlated Electrons · Physics 2013-01-17 Robin Steinigeweg , Jacek Herbrych , Peter Prelovšek

We consider one-dimensional translationally invariant quantum spin (or fermionic) lattices and prove a Mazur-type inequality bounding the time-averaged thermodynamic limit of a finite-temperature expectation of a spatio-temporal…

Mathematical Physics · Physics 2015-03-19 Enej Ilievski , Tomaz Prosen

We numerically study spin transport and nonequilibrium spin-density profiles in a clean one-dimensional spin-chain with long-range interactions, decaying as a power-law,$r^{-\alpha}$ with distance. We find two distinct regimes of transport:…

Disordered Systems and Neural Networks · Physics 2019-03-27 Benedikt Kloss , Yevgeny Bar Lev

We study the finite-temperature dynamical spin susceptibility of the one-dimensional (generalized) anisotropic Heisenberg model within the hydrodynamic regime of small wave vectors and frequencies. Numerical results are analyzed using the…

Strongly Correlated Electrons · Physics 2012-09-10 J. Herbrych , R. Steinigeweg , P. Prelovšek

Whether at zero spin density $m=0$ and finite temperatures $T>0$ the spin stiffness of the spin-$1/2$ $XXX$ chain is finite or vanishes remains an unsolved and controversial issue, as different approaches yield contradictory results. Here…

Strongly Correlated Electrons · Physics 2015-01-28 J. M. P. Carmelo , T. Prosen , D. K. Campbell

Spin chains are correlated quantum models of great interest in quantum systems and materials exhibiting quasi-one-dimensional magnetic properties. Here we review results on quantum problems associated with spin chains that are beyond the…

Strongly Correlated Electrons · Physics 2025-07-01 J. M. P. Carmelo , P. D. Sacramento

The adiabatic transport properties of U(1) invariant systems are determined by the dependence of the ground state energy on the twisted boundary condition. We examine a one-dimensional tight-binding model in the presence of a single defect…

Mesoscale and Nanoscale Physics · Physics 2021-05-25 Kazuaki Takasan , Masaki Oshikawa , Haruki Watanabe

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…

Statistical Mechanics · Physics 2017-07-14 Marko Ljubotina , Marko Znidaric , Tomaz Prosen

We consider transport of heat and charge in holographic lattices which are phases of strongly coupled matter in which translations are broken explicitly. In these systems, we study a spontaneous density wave that breaks translations…

High Energy Physics - Theory · Physics 2019-06-26 Aristomenis Donos , Christiana Pantelidou

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…

Disordered Systems and Neural Networks · Physics 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

The isotropic Heisenberg chain represents a particular case of an integrable many-body system exhibiting superdiffusive spin transport at finite temperatures. Here, we show that this model has distinct properties also at finite…

Strongly Correlated Electrons · Physics 2023-10-09 S. Nandy , Z. Lenarčič , E. Ilievski , M. Mierzejewski , J. Herbrych , P. Prelovšek

The thermodynamic properties of a one-dimensional model describing spin dynamics in the presence of a twofold orbital degeneracy are studied numerically using the transfer-matrix renormalization group (TMRG). The model contains an…

Strongly Correlated Electrons · Physics 2007-05-23 J. Sirker

In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ model at zero magnetic field or the charge…

Strongly Correlated Electrons · Physics 2011-01-31 J. Sirker , R. G. Pereira , I. Affleck

We investigate spin and thermal transport near the N\'{e}el transition temperature $T_N$ in three dimensions, by numerically analyzing the classical antiferromagnetic $XXZ$ model on the cubic lattice, where in the model, the anisotropy of…

Strongly Correlated Electrons · Physics 2022-12-09 Kazushi Aoyama

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…

Quantum Physics · Physics 2012-08-10 Berislav Buca , Tomaz Prosen

We study the spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to…

Strongly Correlated Electrons · Physics 2015-06-18 C. Karrasch , J. E. Moore , F. Heidrich-Meisner

We study energy transport in XXZ spin chains driven to nonequilibrium configurations by thermal reservoirs of different temperatures at the boundaries. We discuss the transition between diffusive and subdiffusive transport regimes in…

Disordered Systems and Neural Networks · Physics 2019-03-25 Juan Jose Mendoza-Arenas , Marko Znidaric , Vipin Kerala Varma , John Goold , Stephen R. Clark , Antonello Scardicchio

We study spin transport in a boundary driven XXZ spin chain. Driving at the chain boundaries is modeled by two additional spin chains prepared in oppositely polarized states. Emergent behavior, both in the transient dynamics and in the…

Quantum Physics · Physics 2017-12-21 Eduardo Mascarenhas , Giacomo Giudice , Vincenzo Savona

We study a class of integrable alternating (S1,S2) quantum spin chains with critical ground state properties. Our main result is the description of the thermal Drude weight of the one-dimensional alternating spin chain as a function of…

Statistical Mechanics · Physics 2011-09-19 G. A. P. Ribeiro , N. Crampe , A. Klümper