Dual symplectic classical circuits: an exactly solvable model of many-body chaos

Christopoulos, Alexios (avtor), De Luca, Andrea (avtor), Kovrizhin, Dmitry L. (avtor), Prosen, Tomaž (avtor)

We propose a general exact method of calculating dynamical correlation functions in dual symplectic brick-wall circuits in one dimension. These are deterministic classical many-body dynamical systems which can be interpreted in terms of symplectic dynamics in two orthogonal (time and space) directions. In close analogy with quantum dual-unitary circuits, we prove that two-point dynamical correlation functions are non-vanishing only along the edges of the light cones. The dynamical correlations are exactly computable in terms of a one-site Markov transfer operator, which is generally of infinite dimensionality. We test our theory in a specific family of dual-symplectic circuits, describing the dynamics of a classical Floquet spin chain. Remarkably, expressing these models in the form of a composition of rotations leads to a transfer operator with a block diagonal form in the basis of spherical harmonics. This allows us to obtain analytical predictions for simple local observables. We demonstrate the validity of our theory by comparison with Monte Carlo simulations, displaying excellent agreement with the latter for a choice of observables.

• Jezik: Angleški jezik
• Ključne besede: dynamical systems, chaos, statistical mechanics, quantum mechanics
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Različica publikacije: Objavljena publikacija
• Datum objave: 20.02.2024
• Leto izida: 2024
• Št. strani: 23 str.
• Številčenje: Vol. 16, iss. 2, art. no. 049
• PID: 20.500.12556/RUL-155477
• UDK: 530.182
• ISSN pri članku: 2542-4653
• DOI: 10.21468/SciPostPhys.16.2.049
• COBISS.SI-ID: 191320067
• Datum objave v RUL: 04.04.2024

Gradivo je del revije

• Naslov: SciPost physics
• Založnik: SciPost Foundation
• ISSN: 2542-4653
• COBISS.SI-ID: 526154521

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: dinamični sistemi, kaos, statistična mehanika, kvantna mehanika