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

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

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.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, spin models, quantum transport, Heisenberg chains, diffusion
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2017
• Št. strani: 10 str.
• Številčenje: Vol. 50, art. no. 475002
• PID: 20.500.12556/RUL-122925
• UDK: 530.145
• ISSN pri članku: 1751-8113
• DOI: 10.1088/1751-8121/aa8bdc
• COBISS.SI-ID: 3166052
• Datum objave v RUL: 16.12.2020

LJUBOTINA, Marko, ŽNIDARIČ, Marko in PROSEN, Tomaž, 2017, A class of states supporting diffusive spin dynamics in the isotropic Heisenberg model. Journal of physics : Mathematical and theoretical [na spletu]. 2017. Vol. 50, no. 475002. [Dostopano 8 april 2025]. DOI 10.1088/1751-8121/aa8bdc. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=122925

Gradivo je del revije

• Naslov: Journal of physics : Mathematical and theoretical
• Skrajšan naslov: J. phys., A, Math. theor.
• Založnik: IOP Publishing
• ISSN: 1751-8113
• COBISS.SI-ID: 3692314

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, spinski modeli, kvantni transport, Heisenbergove verige, difuzija