Yusuf Kasim (Author), Tomaž Prosen (Author)

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.

Keywords

statistična fizika;kvantna vezja;statistical physics;quantum circuits;random geometry;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FMF - Faculty of Mathematics and Physics
UDC: 536.9
COBISS: 191445763 Link will open in a new window
ISSN: 1751-8113
Views: 18
Downloads: 3
Average score: 0 (0 votes)
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Other data

Secondary language: Slovenian
Secondary keywords: statistična fizika;kvantna vezja;
Type (COBISS): Article
Pages: 11 str.
Volume: ǂVol. ǂ56
Issue: ǂart. no. ǂ025003
Chronology: Jan. 2023
DOI: 10.1088/1751-8121/acb1e0
ID: 23341272