Random matrix spectral form factor in kicked interacting fermionic chains

Roy, Dibyendu (avtor), Prosen, Tomaž (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: statistical physics, nonlinear dynamics, quantum chaos
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2020
• Št. strani: Str. 060202-1-060202-5
• Številčenje: Vol. 102, iss. 6
• PID: 20.500.12556/RUL-130383
• UDK: 536.93
• ISSN pri članku: 2470-0045
• DOI: 10.1103/PhysRevE.102.060202
• COBISS.SI-ID: 76257539
• Datum objave v RUL: 14.09.2021

Gradivo je del revije

• Naslov: Physical review
• Skrajšan naslov: Phys. rev., E
• Založnik: American Physical Society
• ISSN: 2470-0045
• COBISS.SI-ID: 2048366611

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: statistična fizika, nelinearna dinamika, kvantni kaos

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open Many-body Non-Equilibrium Systems
• Akronim: OMNES

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: P1-0402
• Naslov: Matematična fizika