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Floquet resonances close to the adiabatic limit and the effect of dissipation

Russomanno, Angelo
•
Santoro, Giuseppe E.
2017
  • journal article

Periodico
JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT
Abstract
We study the approach to the adiabatic limit in periodically driven systems. Specifically focusing on a spin-1/2 in a magnetic field we find that, when the parameters of the Hamiltonian lead to a quasi-degeneracy in the Floquet spectrum, the evolution is not adiabatic even if the frequency of the field is much smaller than the spectral gap of the Hamiltonian. We argue that this is a general phenomenon of periodically driven systems. Although an explanation based on a perturbation theory in cannot be given, because of the singularity of the zero frequency limit, we are able to describe this phenomenon by means of a mapping to an extended Hilbert space, in terms of resonances of an effective two-band Wannier-Stark ladder. Remarkably, the phenomenon survives in presence of dissipation towards an environment and can be therefore easily experimentally observed.
DOI
10.1088/1742-5468/aa8702
WOS
WOS:000413109400003
Archivio
http://hdl.handle.net/20.500.11767/87937
info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85032949717
https://iopscience.iop.org/article/10.1088/1742-5468/aa8702/meta
https://arxiv.org/abs/1707.04508
Diritti
closed access
Soggetti
  • dissipative system

  • Statistical and Nonli...

  • Statistics and Probab...

  • Statistics, Probabili...

  • Settore FIS/03 - Fisi...

Scopus© citazioni
12
Data di acquisizione
Jun 2, 2022
Vedi dettagli
Web of Science© citazioni
15
Data di acquisizione
Mar 28, 2024
Visualizzazioni
1
Data di acquisizione
Apr 19, 2024
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