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Recently, cesium atoms in optical lattices subjected to cycles ofunequally-spaced pulses have been found to show interesting behavior: theyrepresent the first experimental demonstration of a Hamiltonian ratchetmechanism, and they show strong variability of the Dynamical Localizationlengths as a function of initial momentum. The behavior differs qualitativelyfrom corresponding atomic systems pulsed with equal periods, which are atextbook implementation of a well-studied quantum chaos paradigm, the quantumdelta-kicked particle (delta-QKP). We investigate here the properties of thecorresponding eigenstates (Floquet states) in the parameter regime of the newexperiments and compare them with those of the eigenstates of the delta-QKP atsimilar kicking strengths. We show that, with the properties of the Floquetstates, we can shed light on the form of the observed ratchet current as wellas variations in the Dynamical Localization length.Comment: 9 pages, 9 figure

Chaotic quantum ratchets and filters with cold atoms in optical lattices: Analysis using Floquet states