Please use this identifier to cite or link to this item: https://doi.org/10.1080/09500340802187365
Title: Quantum control of ultra-cold atoms: Uncovering a novel connection between two paradigms of quantum nonlinear dynamics
Authors: Wang, J. 
Mouritzen, A.S.
Gong, J. 
Keywords: Hofstadter's butterfly spectrum
Kicked Harper model
Kicked rotor model
Optical lattice
Ultracold atoms
Issue Date: Mar-2009
Citation: Wang, J., Mouritzen, A.S., Gong, J. (2009-03). Quantum control of ultra-cold atoms: Uncovering a novel connection between two paradigms of quantum nonlinear dynamics. Journal of Modern Optics 56 (6) : 722-728. ScholarBank@NUS Repository. https://doi.org/10.1080/09500340802187365
Abstract: Controlling the translational motion of cold atoms using optical lattice potentials is of both theoretical and experimental interest. By designing two on-resonance time sequences of kicking optical lattice potentials, a novel connection between two paradigms of nonlinear mapping systems, i.e. the kicked rotor model and the kicked Harper model, is established. In particular, it is shown that Hofstadter's butterfly quasi-energy spectrum in periodically driven quantum systems may soon be realized experimentally, with the effective Planck constant tunable by varying the time delay between two sequences of control fields. Extensions of this study are also discussed. The results are intended to open up a new generation of cold-atom experiments of quantum nonlinear dynamics.
Source Title: Journal of Modern Optics
URI: http://scholarbank.nus.edu.sg/handle/10635/117128
ISSN: 09500340
DOI: 10.1080/09500340802187365
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