Szabolcs Vajna (Avtor), Katja Klobas (Avtor), Tomaž Prosen (Avtor), Anatoli Polkovnikov (Avtor)

Povzetek

We developed a novel perturbative expansion based on the replica trick for the Floquet Hamiltonian governing the dynamics of periodically kicked systems where the kick strength is the small parameter. The expansion is formally equivalent to an infinite resummation of the Baker-Campbell-Hausdorff series in the un-driven (nonperturbed) Hamiltonian, while considering terms up to a finite order in the kick strength. As an application of the replica expansion, we analyze an Ising spin 1/2 chain periodically kicked with magnetic field of strength h, which has both longitudinal and transverse components. We demonstrate that even away from the regime of high frequency driving, the heating rate is nonperturbative in the kick strength bounded from above by a stretched exponential: $e^{-\rm{const}h^{-1/2}}$. This guarantees existence of a very long pre-thermal regime, where the dynamics is governed by the Floquet Hamiltonian obtained from the replica expansion.

Ključne besede

kvantna mehanika;statistična fizika;algebra;quantum mechanics;statistical physics;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 530.145
COBISS: 3208292 Povezava se bo odprla v novem oknu
ISSN: 0031-9007
Št. ogledov: 835
Št. prenosov: 457
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: kvantna mehanika;statistična fizika;algebra;
Strani: str. 200607-1-200607-6
Letnik: ǂVol. ǂ120
Zvezek: ǂiss. ǂ20
Čas izdaje: 2018
DOI: 10.1103/PhysRevLett.120.200607
ID: 10941058