A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model

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

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
• UDC: 530.145
• ISSN on article: 1751-8113
• DOI: 10.1088/1751-8121/aa8bdc
• COBISS.SI-ID: 3166052
• Publication date in RUL: 16.12.2020

LJUBOTINA, Marko, ŽNIDARIČ, Marko and PROSEN, Tomaž, 2017, A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model. Journal of physics : Mathematical and theoretical [online]. 2017. Vol. 50, no. 475002. [Accessed 22 April 2025]. DOI 10.1088/1751-8121/aa8bdc. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=122925

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

Secondary language

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