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arXiv · 1205.6178

Generic Regularities in Quasienergy Spectra and Free Quantum Dynamics Independently of Chaos Strength

Itzhack Dana
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Abstract

Generic and significant regularities are shown to occur in the quasienergy spectra of the generalized quantum kicked particle for arbitrary quasimomentum, a quantity most relevant in atom-optics experimental realizations of this paradigmatic nonintegrable system. The spectral regularities are basically different from the usual ones associated with ordered regions in a mixed phase space, since they are \emph{completely independent} of the chaos strength. Their origin are free-motion features unaffected by the nonintegrability. The generic regularities are \emph{dense} subspectra, each being either a regular level sequence with approximately a Poisson level-spacing distribution or a ladder of equally-spaced levels. The quantum dynamics associated with each regular subspectrum is essentially \emph{free} for \emph{arbitrarily strong} chaos.

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Itzhack Dana. 2012-05-28. Generic Regularities in Quasienergy Spectra and Free Quantum Dynamics Independently of Chaos Strength. https://arxiv.org/abs/1205.6178

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