ǂA ǂclass of states supporting diffusive spin dynamics in the isotropic Heisenberg model

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

Povzetek

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.

Ključne besede

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

Podatki

Jezik:	Angleški jezik
Leto izida:	2017
Tipologija:	1.01 - Izvirni znanstveni članek
Organizacija:	UL FMF - Fakulteta za matematiko in fiziko
UDK:	530.145
COBISS:	3166052
ISSN:	1751-8113
Št. ogledov:	337
Št. prenosov:	249
Ocena:	0 (0 glasov)
Metapodatki:

Ostali podatki

Sekundarni jezik:	Slovenski jezik
Sekundarne ključne besede:	kvantna mehanika;spinski modeli;kvantni transport;Heisenbergove verige;difuzija;
Strani:	10 str.
Letnik:	ǂVol. ǂ50
Zvezek:	ǂart. no. ǂ475002
Čas izdaje:	2017
DOI:	10.1088/1751-8121/aa8bdc
ID:	12267643