Nonlinearly-enhanced energy transport in many dimensional quantum chaos
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ArticleKAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionElectrical Engineering Program
PRIMALIGHT Research Group
Date
2013-08-05Preprint Posting Date
2013-01-22Online Publication Date
2013-08-05Print Publication Date
2013-12Permanent link to this record
http://hdl.handle.net/10754/325390
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By employing a nonlinear quantum kicked rotor model, we investigate the transport of energy in multidimensional quantum chaos. This problem has profound implications in many fields of science ranging from Anderson localization to time reversal of classical and quantum waves. We begin our analysis with a series of parallel numerical simulations, whose results show an unexpected and anomalous behavior. We tackle the problem by a fully analytical approach characterized by Lie groups and solitons theory, demonstrating the existence of a universal, nonlinearly-enhanced diffusion of the energy in the system, which is entirely sustained by soliton waves. Numerical simulations, performed with different models, show a perfect agreement with universal predictions. A realistic experiment is discussed in two dimensional dipolar Bose-Einstein-Condensates (BEC). Besides the obvious implications at the fundamental level, our results show that solitons can form the building block for the realization of new systems for the enhanced transport of matter.Citation
Brambila DS, Fratalocchi A (2013) Nonlinearly-enhanced energy transport in many dimensional quantum chaos. Sci Rep 3. doi:10.1038/srep02359.Publisher
Springer NatureJournal
Scientific ReportsPubMed ID
23912934PubMed Central ID
PMC3733059arXiv
1301.5098Additional Links
http://arxiv.org/abs/1301.5098ae974a485f413a2113503eed53cd6c53
10.1038/srep02359
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