Marko Ljubotina (Author), Marko Žnidarič (Author), Tomaž Prosen (Author)

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.

Keywords

kvantna mehanika;spinski modeli;kvantni transport;Heisenbergove verige;difuzija;quantum mechanics;spin models;quantum transport;Heisenberg chains;diffusion;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 530.145
COBISS: 3166052 Link will open in a new window
ISSN: 1751-8113
Views: 337
Downloads: 249
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: kvantna mehanika;spinski modeli;kvantni transport;Heisenbergove verige;difuzija;
Pages: 10 str.
Volume: ǂVol. ǂ50
Issue: ǂart. no. ǂ475002
Chronology: 2017
DOI: 10.1088/1751-8121/aa8bdc
ID: 12267643