Dual unitary circuits in random geometries

Kasim, Yusuf (author), Prosen, Tomaž (author)

Recently introduced dual unitary brickwork circuits have been recognised as paradigmatic exactly solvable quantum chaotic many-body systems with tunable degree of ergodicity and mixing. Here we show that regularity of the circuit lattice is not crucial for exact solvability. We consider a circuit where random 2-qubit dual unitary gates sit at intersections of random arrangements of straight lines in two dimensions (mikado) and analytically compute the variance of the spatio-temporal correlation function of local operators. Note that the average correlator vanishes due to local Haar randomness of the gates. The result can be physically motivated for two random mikado settings. The first corresponds to the thermal state of free particles carrying internal qubit degrees of freedom which experience interaction at kinematic crossings, while the second represents rotationally symmetric (random euclidean) space-time.

• Language: English
• Keywords: statistical physics, quantum circuits, random geometry
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication version: Version of Record
• Publication date: 30.01.2023
• Year: 2023
• Number of pages: 11 str.
• Numbering: Vol. 56, art. no. ǂ025003
• PID: 20.500.12556/RUL-155495
• UDC: 536.9
• ISSN on article: 1751-8113
• DOI: 10.1088/1751-8121/acb1e0
• COBISS.SI-ID: 191445763
• Publication date in RUL: 04.04.2024

KASIM, Yusuf and PROSEN, Tomaž, 2023, Dual unitary circuits in random geometries. Journal of physics : Mathematical and theoretical [online]. 2023. Vol. 56, no. 025003. [Accessed 23 April 2025]. DOI 10.1088/1751-8121/acb1e0. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=155495

Record is a part of a journal

• Title: Journal of physics : Mathematical and theoretical
• Shortened title: J. phys., A, Math. theor.
• Publisher: IOP Publishing
• ISSN: 1751-8113
• COBISS.SI-ID: 3692314

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: statistična fizika, kvantna vezja