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

Žnidarič, Marko (author)

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.

• Language: English
• Keywords: statistical physics, dynamical systems, quantum chaos
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Author Accepted Manuscript
• Year: 2024
• Number of pages: Str. 054204-1-054204-13
• Numbering: Vol. 110, iss. 5
• PID: 20.500.12556/RUL-164945
• UDC: 530.145
• ISSN on article: 2470-0045
• DOI: 10.1103/PhysRevE.110.054204
• COBISS.SI-ID: 215432451
• Publication date in RUL: 18.11.2024

Record is a part of a journal

• Title: Physical review
• Shortened title: Phys. rev., E
• Publisher: American Physical Society
• ISSN: 2470-0045
• COBISS.SI-ID: 2048366611

Secondary language

• Language: Slovenian
• Keywords: statistična fizika, dinamični sistemi, kvantni kaos

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: J1-4385-2022
• Name: Kvantna večdelčna fizika in nehermitskost

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0402-2019
• Name: Matematična fizika