Žiga Krajnik (Avtor), Tomaž Prosen (Avtor)

Povzetek

We introduce a deterministic SO(3) invariant dynamics of classical spins on a discrete space–time lattice and prove its complete integrability by explicitly finding a related non-constant (baxterized) solution of the set-theoretic Yang–Baxter equation over the 2-sphere. Equipping the algebraic structure with the corresponding Lax operator we derive an infinite sequence of conserved quantities with local densities. The dynamics depend on a single continuous spectral parameter and reduce to a (lattice) Landau–Lifshitz model in the limit of a small parameter which corresponds to the continuous time limit. Using quasi-exact numerical simulations of deterministic dynamics and Monte Carlo sampling of initial conditions corresponding to a maximum entropy equilibrium state we determine spin-spin spatio-temporal (dynamical) correlation functions with relative accuracy of three orders of magnitude. We demonstrate that in the equilibrium state with a vanishing total magnetization the correlation function precisely follows Kardar–Parisi–Zhang scaling hence the spin transport belongs to the universality class with dynamical exponent z=3/2, in accordance to recent related simulations in discrete and continuous time quantum Heisenberg spin 1/2 chains.

Ključne besede

statistična fizika;integrabilni sistemi;spinske verige;spinski transport;statistical physics;integrable systems;spin chains;spin transport;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 536.9
COBISS: 23775747 Povezava se bo odprla v novem oknu
ISSN: 0022-4715
Št. ogledov: 410
Št. prenosov: 160
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: statistična fizika;integrabilni sistemi;spinske verige;spinski transport;
Strani: str. 110-130
Letnik: ǂVol. ǂ179
Zvezek: ǂiss. ǂ1
Čas izdaje: 2020
DOI: 10.1007/s10955-020-02523-1
ID: 11924498