Replica resummation of the Baker-Campbell-Hausdorff series

Vajna, Szabolcs (avtor), Klobas, Katja (avtor), Prosen, Tomaž (avtor), Polkovnikov, Anatoli (avtor)

We developed a novel perturbative expansion based on the replica trick for the Floquet Hamiltonian governing the dynamics of periodically kicked systems where the kick strength is the small parameter. The expansion is formally equivalent to an infinite resummation of the Baker-Campbell-Hausdorff series in the un-driven (nonperturbed) Hamiltonian, while considering terms up to a finite order in the kick strength. As an application of the replica expansion, we analyze an Ising spin 1/2 chain periodically kicked with magnetic field of strength h, which has both longitudinal and transverse components. We demonstrate that even away from the regime of high frequency driving, the heating rate is nonperturbative in the kick strength bounded from above by a stretched exponential: $e^{-\rm{const}h^{-1/2}}$. This guarantees existence of a very long pre-thermal regime, where the dynamics is governed by the Floquet Hamiltonian obtained from the replica expansion.

• Jezik: Angleški jezik
• Ključne besede: quantum mechanics, statistical physics, algebra
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Recenzirani rokopis
• Leto izida: 2018
• Št. strani: Str. 200607-1-200607-6
• Številčenje: Vol. 120, iss. 20
• PID: 20.500.12556/RUL-101523
• UDK: 530.145
• ISSN pri članku: 0031-9007
• DOI: 10.1103/PhysRevLett.120.200607
• COBISS.SI-ID: 3208292
• Datum objave v RUL: 13.06.2018

VAJNA, Szabolcs, KLOBAS, Katja, PROSEN, Tomaž in POLKOVNIKOV, Anatoli, 2018, Replica resummation of the Baker-Campbell-Hausdorff series. Physical review letters [na spletu]. 2018. Vol. 120, no. 20, p. 200607-1-200607–6. [Dostopano 8 april 2025]. DOI 10.1103/PhysRevLett.120.200607. Pridobljeno s: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=slv&id=101523

Gradivo je del revije

• Naslov: Physical review letters
• Skrajšan naslov: Phys. rev. lett.
• Založnik: American Physical Society
• ISSN: 0031-9007
• COBISS.SI-ID: 1282575

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: kvantna mehanika, statistična fizika, algebra

Projekti

• Financer: EC - European Commission
• Program financ.: H2020
• Številka projekta: 694544
• Naslov: Open many-body non-equilibrium systems
• Akronim: OMNES