Dibyendu Roy (Avtor), Tomaž Prosen (Avtor)

Povzetek

We study quantum chaos and spectral correlations in periodically driven (Floquet) fermionic chains with long-range two-particle interactions, in the presence and absence of particle-number conservation $[U(1)]$ symmetry. We analytically show that the spectral form factor precisely follows the prediction of random matrix theory in the regime of long chains, and for timescales that exceed the so-called Thouless time which scales with the size $L$ as $\mathcal{O}(L^2)$, or $\mathcal{O}(L^0)$, in the presence, or absence, of $U(1)$ symmetry, respectively. Using a random phase assumption which essentially requires a long-range nature of the interaction, we demonstrate that the Thouless time scaling is equivalent to the behavior of the spectral gap of a classical Markov chain, which is in the continuous-time (Trotter) limit generated, respectively, by a gapless $XXX$, or gapped $XXZ$, spin-1/2 chain Hamiltonian.

Ključne besede

statistična fizika;nelinearna dinamika;kvantni kaos;statistical physics;nonlinear dynamics;quantum chaos;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FMF - Fakulteta za matematiko in fiziko
UDK: 536.93
COBISS: 76257539 Povezava se bo odprla v novem oknu
ISSN: 2470-0045
Št. ogledov: 235
Št. prenosov: 94
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;nelinearna dinamika;kvantni kaos;
Strani: str. 060202-1-060202-5
Letnik: ǂVol. ǂ102
Zvezek: ǂiss. ǂ6
Čas izdaje: 2020
DOI: 10.1103/PhysRevE.102.060202
ID: 13403689