Dual unitary circuits in random geometries
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.
2023
2024-04-04 14:47:00
1033
statistical physics, quantum circuits, random geometry
statistična fizika, kvantna vezja
dk_c
Yusuf
Kasim
70
Tomaž
Prosen
70
UDK
4
536.9
ISSN pri članku
9
1751-8113
DOI
15
10.1088/1751-8121/acb1e0
COBISS_ID
3
191445763
Prosen_8.pdf
2280180
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