Heat transport in the XXZ spin chain: from ballistic to diffusive regimes and dephasing enhancement

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 (energy-dissipative) processes in different parameter regimes of the system....

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Main Authors: Mendoza-Arenas, J, Al-Assam, S, Clark, SR, Jaksch, D
Format: Journal article
Language:English
Published: 2013
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author Mendoza-Arenas, J
Al-Assam, S
Clark, SR
Jaksch, D
author_facet Mendoza-Arenas, J
Al-Assam, S
Clark, SR
Jaksch, D
author_sort Mendoza-Arenas, J
collection OXFORD
description 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 (energy-dissipative) processes in different parameter regimes of the system. The non-equilibrium steady state of the chain is obtained by simulating its evolution under the corresponding Lindblad master equation, using the time evolving block decimation method. In the absence of dephasing, the heat transport is ballistic for weak interactions, while being diffusive in the strongly interacting regime, as evidenced by the heat current scaling with the system size. When bulk dephasing takes place in the system, diffusive transport is induced in the weakly interacting regime, with the heat current monotonically decreasing with the dephasing rate. In contrast, in the strongly interacting regime, the heat current can be significantly enhanced by dephasing for systems of small size. © 2013 IOP Publishing Ltd and SISSA Medialab srl.
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spelling oxford-uuid:850d33a2-796c-4f7b-9bd5-40faed811eb82022-03-26T21:54:56ZHeat transport in the XXZ spin chain: from ballistic to diffusive regimes and dephasing enhancementJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:850d33a2-796c-4f7b-9bd5-40faed811eb8EnglishSymplectic Elements at Oxford2013Mendoza-Arenas, JAl-Assam, SClark, SRJaksch, DIn 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 (energy-dissipative) processes in different parameter regimes of the system. The non-equilibrium steady state of the chain is obtained by simulating its evolution under the corresponding Lindblad master equation, using the time evolving block decimation method. In the absence of dephasing, the heat transport is ballistic for weak interactions, while being diffusive in the strongly interacting regime, as evidenced by the heat current scaling with the system size. When bulk dephasing takes place in the system, diffusive transport is induced in the weakly interacting regime, with the heat current monotonically decreasing with the dephasing rate. In contrast, in the strongly interacting regime, the heat current can be significantly enhanced by dephasing for systems of small size. © 2013 IOP Publishing Ltd and SISSA Medialab srl.
spellingShingle Mendoza-Arenas, J
Al-Assam, S
Clark, SR
Jaksch, D
Heat transport in the XXZ spin chain: from ballistic to diffusive regimes and dephasing enhancement
title Heat transport in the XXZ spin chain: from ballistic to diffusive regimes and dephasing enhancement
title_full Heat transport in the XXZ spin chain: from ballistic to diffusive regimes and dephasing enhancement
title_fullStr Heat transport in the XXZ spin chain: from ballistic to diffusive regimes and dephasing enhancement
title_full_unstemmed Heat transport in the XXZ spin chain: from ballistic to diffusive regimes and dephasing enhancement
title_short Heat transport in the XXZ spin chain: from ballistic to diffusive regimes and dephasing enhancement
title_sort heat transport in the xxz spin chain from ballistic to diffusive regimes and dephasing enhancement
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AT alassams heattransportinthexxzspinchainfromballistictodiffusiveregimesanddephasingenhancement
AT clarksr heattransportinthexxzspinchainfromballistictodiffusiveregimesanddephasingenhancement
AT jakschd heattransportinthexxzspinchainfromballistictodiffusiveregimesanddephasingenhancement