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Purely ballistic transport is a rare feature even for integrable models. By numerically studying the Heisenberg chain with the power-law exchange, \mbox{$J\propto1/r^\alpha$}, where $r$ is a distance, we show that for spin anisotropy…

Strongly Correlated Electrons · Physics 2023-01-25 M. Mierzejewski , J. Wronowicz , J. Pawłowski , J. Herbrych

We study an open Heisenberg XXZ spin chain with long-range Ising-type interaction, which is incoherently driven at its boundaries and therefore a far-from-equilibrium steady state current is induced. Quantum Monte Carlo techniques make a…

Quantum Physics · Physics 2020-09-09 Manuel Katzer , Willy Knorr , Regina Finsterhölzl , Alexander Carmele

Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

In the study of quantum transport, much has been known for dynamics near thermal equilibrium. However, quantum transport far away from equilibrium is much less well understood--the linear response approximation does not hold for physics…

Quantum Gases · Physics 2022-12-07 Jie Zou , Xiaopeng Li

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…

Strongly Correlated Electrons · Physics 2011-05-30 Tomaz Prosen

We analyze an open many-body system that is strongly coupled at its boundaries to interacting quantum baths. We show that the two-body interactions inside the baths induce emergent phenomena in the spin transport. The system and baths are…

Quantum Physics · Physics 2017-10-24 Juris Reisons , Eduardo Mascarenhas , Vincenzo Savona

We investigate transport in several translationally invariant spin-1/2 chains in the limit of high temperatures. We concretely consider spin transport in the anisotropic Heisenberg chain, the pure Heisenberg chain within an alternating…

Statistical Mechanics · Physics 2009-11-03 Robin Steinigeweg , Jochen Gemmer

We demonstrate ballistic spin transport of an integrable unitary quantum circuit, which can be understood either as a paradigm of an integrable periodically driven (Floquet) spin chain, or as a Trotterized anisotropic ($XXZ$) Heisenberg…

Statistical Mechanics · Physics 2019-04-24 Marko Ljubotina , Lenart Zadnik , Tomaž Prosen

Transport phenomena are central to physics, and transport in the many-body and fully-quantum regime is attracting an increasing amount of attention. It has been recently revealed that some quantum spin chains support ballistic transport of…

Statistical Mechanics · Physics 2019-10-25 Alberto Biella , Mario Collura , Davide Rossini , Andrea De Luca , Leonardo Mazza

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…

Statistical Mechanics · Physics 2012-03-15 Robin Steinigeweg

The entanglement dynamics of spin chains is investigated using Heisenberg-XY spin Hamiltonian dynamics. The various measures of two-qubit entanglement are calculated analytically in the time-evolved state starting from initial states with…

Quantum Physics · Physics 2009-11-10 V. Subrahmanyam , Arul Lakshminarayan

We calculate a nonequilibrium steady state of a quantum XX chain in the presence of dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of weak driving while the expressions for one- and two-point…

Statistical Mechanics · Physics 2012-03-06 Marko Znidaric

We study transport of local magnetization in a Heisenberg spin-1/2 chain at zero temperature. The system is initially prepared in a highly excited pure state far from equilibrium and its evolution is analyzed via exact diagonalization.…

Statistical Mechanics · Physics 2015-05-13 L. F. Santos

We study magnetization transport at high temperatures in several spin ladder systems as well as in next-nearest-neighbor coupled spin chains. In the integrable ladder considered we analytically show that the transport is ballistic in…

Strongly Correlated Electrons · Physics 2013-11-28 Marko Znidaric

In this work we study the heat transport in an XXZ spin-1/2 Heisenberg chain with homogeneous magnetic field, incoherently driven out of equilibrium by reservoirs at the boundaries. We focus on the effect of bulk dephasing…

Strongly Correlated Electrons · Physics 2013-07-17 J. J. Mendoza-Arenas , S. Al-Assam , S. R. Clark , D. Jaksch

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…

Strongly Correlated Electrons · Physics 2016-11-22 J. J. Mendoza-Arenas , M. T. Mitchison , S. R. Clark , J. Prior , D. Jaksch , M. B. Plenio

Negative differential conductivity is reported for the far from equilibrium quantum spin transport in the insulating regime (J_x < J_z) of finite Heisenberg XXZ spin 1/2 chains. The phenomenon is reproduced analytically for small chains of…

Quantum Physics · Physics 2007-05-23 Tomaz Prosen

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…

Strongly Correlated Electrons · Physics 2023-02-03 Sarang Gopalakrishnan , Romain Vasseur

We study the information transferring ability of a spin-1/2 XXZ Hamiltonian for two different modes of state transfer, namely, the well studied attaching scenario and the recently proposed measurement induced transport. The latter one has…

Quantum Physics · Physics 2014-08-05 Sima Pouyandeh , Farhad Shahbazi

We propose and analyze a scheme for conditional state transfer in a Heisenberg $XXZ$ spin chain which realizes a quantum spin transistor. In our scheme, the absence or presence of a control spin excitation in the central gate part of the…

Quantum Physics · Physics 2016-10-11 O. V. Marchukov , A. G. Volosniev , M. Valiente , D. Petrosyan , N. T. Zinner
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