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Dual unitary circuits in random geometries
ID Kasim, Yusuf (Author), ID Prosen, Tomaž (Author)

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Abstract
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 This link opens in a new window
UDC:536.9
ISSN on article:1751-8113
DOI:10.1088/1751-8121/acb1e0 This link opens in a new window
COBISS.SI-ID:191445763 This link opens in a new window
Publication date in RUL:04.04.2024
Views:344
Downloads:354
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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 This link opens in a new window

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

Projects

Funder:EC - European Commission
Funding programme:European Commission
Project number:955479
Name:MOlecular Quantum Simulations
Acronym:MOQS

Funder:EC - European Commission
Funding programme:European Commission
Project number:694544
Name:Open Many-body Non-Equilibrium Systems
Acronym:OMNES

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

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