Classification of same-gate quantum circuits and their space-time symmetries with application to the level-spacing distribution

Duh, Urban (author), Žnidarič, Marko (author)

We study Floquet systems with translationally invariant nearest-neighbor two-site gates. Depending on the order in which the gates are applied on an N-site system with periodic boundary conditions, there are factorially many different circuit configurations. We prove that there are only N − 1 different spectrally equivalent classes, which can be viewed either as a generalization of the brick wall or of the staircase configuration. Every class, characterized by two integers, has a nontrivial space-time symmetry with important implications for the levelspacing distribution — a standard indicator of quantum chaos. Namely, in order to study chaoticity one should not look at eigenphases of the Floquet propagator itself, but rather at the spectrum of an appropriate root of the propagator.

• Language: English
• Keywords: quantum physics, quantum chaos, nonlinear dynamics, Floquet systems
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: Str. 023068-1-023068-11
• Numbering: Vol. 6, iss. 2
• PID: 20.500.12556/RUL-164407
• UDC: 530.145
• ISSN on article: 2643-1564
• DOI: 10.1103/PhysRevResearch.6.023068
• COBISS.SI-ID: 212807939
• Publication date in RUL: 24.10.2024

Record is a part of a journal

• Title: Physical review research
• Publisher: American Phyisical Society
• ISSN: 2643-1564
• COBISS.SI-ID: 32822823

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: kvantna fizika, kvantni kaos, nelinearna dinamika, Floquetovi sistemi

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