Spin diffusion from an inhomogeneous quench in an integrable system
Ljubotina, Marko (Author), Žnidarič, Marko (Author), Prosen, Tomaž (Author)

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Generalized hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. However, the ballistic contribution to transport can vanish in systems with additional discrete symmetries. Here we perform large scale numerical simulations of spin dynamics in the anisotropic Heisenberg XXZ spin 1/2 chain starting from an inhomogeneous mixed initial state which is symmetric with respect to a combination of spin reversal and spatial reflection. In the isotropic and easy-axis regimes we find non-ballistic spin transport which we analyse in detail in terms of scaling exponents of the transported magnetization and scaling profiles of the spin density. While in the easy-axis regime we find accurate evidence of normal diffusion, the spin transport in the isotropic case is clearly super-diffusive, with the scaling exponent very close to 2/3, but with universal scaling dynamics which obeys the diffusion equation in nonlinearly scaled time.

Keywords:quantum mechanics, integrable systems, spin diffusion
Tipology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Number of pages:6 str.
Numbering:Vol. 8, art. no. 16117
ISSN on article:2041-1723
DOI:10.1038/ncomms16117 This link opens in a new window
COBISS.SI-ID:3115108 This link opens in a new window
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Record is a part of a journal

Title:Nature communications
Publisher:Springer Nature
COBISS.SI-ID:2315876 This link opens in a new window

Document is financed by a project

Funder:EC - European Commission
Funding Programme:H2020
Project no.:694544
Name:Open many-body non-equilibrium systems


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:09.08.2017

Secondary language

Keywords:kvantna mehanika, integrabilni sistemi, spinska difuzija

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