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 quantum mechanics, statistical physics, algebra 1.01 - Izvirni znanstveni članek FMF - Fakulteta za matematiko in fiziko 2018 str. 200607-1-200607-6 Vol. 120, iss. 20 530.145 0031-9007 10.1103/PhysRevLett.120.200607 3208292 108 46 (0 glasov) Ocenjevanje je dovoljeno samo prijavljenim uporabnikom.

Naslov: Physical review letters Phys. rev. lett. American Physical Society 0031-9007 1282575

## Gradivo je financirano iz projekta

Financer: EC - Evropska komisija H2020 - Horizon 2020 Programme funded by European Commission 694544 Open many-body non-equilibrium systems OMNES info:eu-repo/grantAgreement/EC/H2020/694544

## Sekundarni jezik

Jezik: Slovenski jezik kvantna mehanika, statistična fizika, algebra

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