Operator entanglement in local quantum circuits I: Chaotic dual-unitary circuits

Bertini, Bruno (avtor), Kos, Pavel (avtor), Prosen, Tomaž (avtor)

The entanglement in operator space is a well established measure for the complexity of the quantum many-body dynamics. In particular, that of local operators has recently been proposed as dynamical chaos indicator, i.e. as a quantity able to discriminate between quantum systems with integrable and chaotic dynamics. For chaotic systems the local-operator entanglement is expected to grow linearly in time, while it is expected to grow at most logarithmically in the integrable case. Here we study local-operator entanglement in dual-unitary quantum circuits, a class of "statistically solvable" quantum circuits that we recently introduced. We identify a class of "completely chaotic" dual-unitary circuits where the local-operator entanglement grows linearly and we provide a conjecture for its asymptotic behaviour which is in excellent agreement with the numerical results. Interestingly, our conjecture also predicts a "phase transition" in the slope of the local-operator entanglement when varying the parameters of the circuits.

• Jezik: Angleški jezik
• Ključne besede: entanglement, quantum chaos, quantum many-body systems
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2020
• Št. strani: 28 str.
• Številčenje: Vol. 8, art. no. 067
• PID: 20.500.12556/RUL-116059
• UDK: 530.145
• ISSN pri članku: 2542-4653
• DOI: 10.21468/SciPostPhys.8.4.067
• COBISS.SI-ID: 14721795
• Datum objave v RUL: 12.05.2020

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.
• Začetek licenciranja: 12.05.2020

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna prepletenost, kvantni kaos, večdelčni sistemi

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open Many-body Non-Equilibrium Systems
• Akronim: OMNES

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