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



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Hur, G. and Creffield, Charles E. and Jones, P.H. and Monteiro, T. S. (2005) Chaotic quantum ratchets and filters with cold atoms in optical lattices: analysis using Floquet states. Physical review A, 72 (1). ISSN 1050-2947


Official URL: http://dx.doi.org/10.1103/PhysRevA.72.013403



Recently, cesium atoms in optical lattices subjected to cycles of unequally spaced pulses have been found to show interesting behavior: they represent an experimental demonstration of a Hamiltonian ratchet mechanism, and they show strong variability of the dynamical localization lengths as a function of initial momentum. The behavior differs qualitatively from corresponding atomic systems pulsed with equal periods, which are a textbook implementation of a well-studied quantum chaos paradigm, the quantum δ-kicked rotor (δ- QKR). We investigate here the properties of the corresponding eigenstates (Floquet states) in the parameter regime of the recent experiments and compare them with those of the eigenstates of the δ-QKR at similar kicking strengths. We show that by studying the properties of the Floquet states we can shed light on the form of the observed ratchet current, as well as variations in the dynamical localization length.

Item Type:Article
Additional Information:

©2005 The American Physical Society.
We would like to thank Mischa Stocklin for useful discussions, and the EPSRC for financial support.

Uncontrolled Keywords:Dynamical localization; Eigenfunctions; Space
Subjects:Sciences > Physics > Materials
Sciences > Physics > Solid state physics
ID Code:33581
Deposited On:14 Oct 2015 16:26
Last Modified:14 Oct 2015 16:26

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