Two-step relaxation in local many-body Floquet systems

Žnidarič, Marko (avtor)

We want to understand how relaxation process from an initial non-generic state proceeds towards a long-time typical state reached under unitary quantum evolution. One would expect that after some initial correlation time relaxation will be a simple exponential decay with constant decay rate. We show that this is not necessarily the case. Studying various Floquet systems with fixed two-qubit gates, and focusing on purity and out-of-time-ordered correlation functions, we find that in many situations relaxation proceeds in two phases of exponential decay having different relaxation rates. Namely, in the thermodynamic limit the relaxation rate exhibits a change at a critical time proportional to system's size. The initial thermodynamically relevant rate can be slower or faster than the asymptotic one, demonstrating that the recently discovered phantom relaxation, in which the decay is slower than predicted by a nonzero transfer matrix gap, is not limited to only random circuits.

• Jezik: Angleški jezik
• Ključne besede: statistical physics, quantum mechanics, Floquet systems, complexity dynamics
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Različica publikacije: Objavljena publikacija
• Datum objave: 09.10.2023
• Leto izida: 2023
• Št. strani: 14 str.
• Številčenje: Vol. 56, no. 43, art. no. 434001
• PID: 20.500.12556/RUL-155001
• UDK: 536.93
• ISSN pri članku: 1751-8113
• DOI: 10.1088/1751-8121/acfc05
• COBISS.SI-ID: 188707331
• Datum objave v RUL: 13.03.2024

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 mehanika

Projekti

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: J1-4385
• Naslov: Kvantna večdelčna fizika in nehermitskost

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Številka projekta: P1-0402
• Naslov: Matematična fizika