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A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model
ID Ljubotina, Marko (Author), ID Žnidarič, Marko (Author), ID Prosen, Tomaž (Author)

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Abstract
The spin transport in isotropic Heisenberg model in the sector with zero magnetization is generically super- diffusive. Despite that, we here demonstrate that for a specific set of domain-wall-like initial product states it can instead be diffusive. We theoretically explain the time evolution of such states by showing that in the limiting regime of weak spatial modulation they are approximately product states for very long times, and demonstrate that even in the case of larger spatial modulation the bipartite entanglement entropy grows only logarithmically in time. In the limiting regime we derive a simple closed equation governing the dynamics, which in the continuum limit and for the initial step magnetization profile results in a solution expressed in terms of Fresnel integrals.

Language:English
Keywords:quantum mechanics, spin models, quantum transport, Heisenberg chains, diffusion
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication status:Published
Publication version:Author Accepted Manuscript
Year:2017
Number of pages:10 str.
Numbering:Vol. 50, art. no. 475002
PID:20.500.12556/RUL-122925 This link opens in a new window
UDC:530.145
ISSN on article:1751-8113
DOI:10.1088/1751-8121/aa8bdc This link opens in a new window
COBISS.SI-ID:3166052 This link opens in a new window
Publication date in RUL:16.12.2020
Views:693
Downloads:387
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Record is a part of a journal

Title:Journal of physics : Mathematical and theoretical
Shortened title:J. phys., A, Math. theor.
Publisher:IOP Publishing
ISSN:1751-8113
COBISS.SI-ID:3692314 This link opens in a new window

Secondary language

Language:Slovenian
Keywords:kvantna mehanika, spinski modeli, kvantni transport, Heisenbergove verige, difuzija

Projects

Funder:EC - European Commission
Funding programme:H2020
Project number:694544
Name:Open many-body non-equilibrium systems
Acronym:OMNES

Funder:ARRS - Slovenian Research Agency
Project number:J1-7279
Name:Termodinamika disipativnih nanosistemov

Funder:ARRS - Slovenian Research Agency
Project number:N1-0025
Name:Odprti mnogodelčni neravnovesni sistemi

Funder:ARRS - Slovenian Research Agency
Project number:P1-0044
Name:Teorija trdnih snovi in statistična fizika

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