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Replica resummation of the Baker-Campbell-Hausdorff series
Vajna, Szabolcs (Avtor), Klobas, Katja (Avtor), Prosen, Tomaž (Avtor), Polkovnikov, Anatoli (Avtor)

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Izvleček
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
Leto izida:2018
Št. strani:str. 200607-1-200607-6
Številčenje:Vol. 120, iss. 20
UDK:530.145
ISSN pri članku:0031-9007
DOI:10.1103/PhysRevLett.120.200607 Povezava se odpre v novem oknu
COBISS.SI-ID:3208292 Povezava se odpre v novem oknu
Število ogledov:108
Število prenosov:46
Metapodatki:XML RDF-CHPDL DC-XML DC-RDF
 
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Gradivo je del revije

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

Gradivo je financirano iz projekta

Financer:EC - Evropska komisija
Program financ.:H2020 - Horizon 2020 Programme funded by European Commission
Številka projekta:694544
Naslov:Open many-body non-equilibrium systems
Akronim:OMNES
ID projekta:info:eu-repo/grantAgreement/EC/H2020/694544

Sekundarni jezik

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

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