Dibyendu Roy (Author), Tomaž Prosen (Author)

Abstract

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.

Keywords

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

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 536.93
COBISS: 76257539 Link will open in a new window
ISSN: 2470-0045
Views: 235
Downloads: 94
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: Slovenian
Secondary keywords: statistična fizika;nelinearna dinamika;kvantni kaos;
Pages: str. 060202-1-060202-5
Volume: ǂVol. ǂ102
Issue: ǂiss. ǂ6
Chronology: 2020
DOI: 10.1103/PhysRevE.102.060202
ID: 13403689