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: |
2020 |
Tipologija: |
1.01 - Izvirni znanstveni članek |
Organizacija: |
UL FMF - Fakulteta za matematiko in fiziko |
UDK: |
536.93 |
COBISS: |
76257539
|
ISSN: |
2470-0045 |
Št. ogledov: |
235 |
Št. prenosov: |
94 |
Ocena: |
0 (0 glasov) |
Metapodatki: |
|
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 |