Momentum-dependent quantum Ruelle-Pollicott resonances in translationally invariant many-body systems

Žnidarič, Marko (avtor)

We study Ruelle-Pollicott resonances in translationally invariant quantum many-body lattice systems via spectra of a momentum-resolved operator propagator on infinite systems. Momentum dependence gives insight into the decay of correlation functions, showing that, depending on their symmetries, different correlation functions in general decay with different rates. Focusing on the kicked Ising model, the spectrum seems to be typically composed of an annular random matrix-like ring whose size we theoretically predict, and few isolated resonances. We identify several interesting regimes, including a mixing regime with a power-law decay of correlation functions. In that regime, we also observe a huge difference in timescales of different correlation functions due to an almost conserved operator. An exact expression for the singular values of the operator propagator is conjectured, showing that it becomes singular at a special point.

• Jezik: Angleški jezik
• Ključne besede: statistical physics, dynamical systems, quantum chaos
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2024
• Št. strani: Str. 054204-1-054204-13
• Številčenje: Vol. 110, iss. 5
• PID: 20.500.12556/RUL-164945
• UDK: 530.145
• ISSN pri članku: 2470-0045
• DOI: 10.1103/PhysRevE.110.054204
• COBISS.SI-ID: 215432451
• Datum objave v RUL: 18.11.2024

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, dinamični sistemi, kvantni kaos

Projekti

• Financer: ARIS - Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
• Številka projekta: J1-4385-2022
• Naslov: Kvantna večdelčna fizika in nehermitskost

• Financer: ARIS - Javna agencija za znanstvenoraziskovalno in inovacijsko dejavnost Republike Slovenije
• Številka projekta: P1-0402-2019
• Naslov: Matematična fizika