Relaxation of imbalance in a disordered XX model with on-site dephasing

Ghosh, Roopayan (avtor), Žnidarič, Marko (avtor)

The relaxation of observables to their nonequilibrium steady states in a disordered XX chain subjected to dephasing at every site has been intensely studied in recent years. We comprehensively analyze the relaxation of staggered magnetization, i.e., imbalance, in such a system, starting from the Néel initial state. We analytically predict emergence of several timescales in the system and extract results which match with large-system numerics without any extra fitting parameter until a universal timescale. An often reported stretched exponential decay is just one of the regimes which holds in a finite window of time and is therefore in fact not a true stretched exponential decay. Subsequently, the asymptotic decay of imbalance is governed by a power law irrespective of the disorder. We show that this emerges from the continuum limit of the low magnitude eigenspectrum of the Liouvillian. However, for finite systems, due to discreteness of the spectrum, the final phase of relaxation is governed by the relevant smallest Liouvillian gap.

• Jezik: Angleški jezik
• Ključne besede: condensed matter physics, disordered systems, open quantum systems
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Različica publikacije: Objavljena publikacija
• Datum objave: 04.05.2023
• Leto izida: 2023
• Št. strani: Str. 184303-1-184303-14
• Številčenje: Vol. 107, iss. 18
• PID: 20.500.12556/RUL-155020
• UDK: 538.9
• ISSN pri članku: 2469-9950
• DOI: 10.1103/PhysRevB.107.184303
• COBISS.SI-ID: 188915203
• Datum objave v RUL: 14.03.2024

Gradivo je del revije

• Naslov: Physical review
• Založnik: American Physical Society
• ISSN: 2469-9950
• COBISS.SI-ID: 2997348

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: fizika kondenzirane snovi, neurejeni sistemi, odprti kvantni sistemi