Dual unitary circuits in random geometries

Kasim, Yusuf (avtor), Prosen, Tomaž (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: statistical physics, quantum circuits, random geometry
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Različica publikacije: Objavljena publikacija
• Datum objave: 30.01.2023
• Leto izida: 2023
• Št. strani: 11 str.
• Številčenje: Vol. 56, art. no. ǂ025003
• PID: 20.500.12556/RUL-155495
• UDK: 536.9
• ISSN pri članku: 1751-8113
• DOI: 10.1088/1751-8121/acb1e0
• COBISS.SI-ID: 191445763
• Datum objave v RUL: 04.04.2024

Gradivo je del revije

• Naslov: Journal of physics : Mathematical and theoretical
• Skrajšan naslov: J. phys., A, Math. theor.
• Založnik: IOP Publishing
• ISSN: 1751-8113
• COBISS.SI-ID: 3692314

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: statistična fizika, kvantna vezja