Nonlinearly-enhanced energy transport in many dimensional quantum chaos

Handle URI:
http://hdl.handle.net/10754/325390
Title:
Nonlinearly-enhanced energy transport in many dimensional quantum chaos
Authors:
Brambila, D. S.; Fratalocchi, Andrea ( 0000-0001-6769-4439 )
Abstract:
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:
Nature Publishing Group
Journal:
Scientific Reports
Issue Date:
5-Aug-2013
DOI:
10.1038/srep02359
PubMed ID:
23912934
PubMed Central ID:
PMC3733059
ARXIV:
arXiv:1301.5098
Type:
Article
ISSN:
20452322
Additional Links:
http://arxiv.org/abs/1301.5098
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorBrambila, D. S.en
dc.contributor.authorFratalocchi, Andreaen
dc.date.accessioned2014-08-27T09:50:24Z-
dc.date.available2014-08-27T09:50:24Z-
dc.date.issued2013-08-05en
dc.identifier.citationBrambila DS, Fratalocchi A (2013) Nonlinearly-enhanced energy transport in many dimensional quantum chaos. Sci Rep 3. doi:10.1038/srep02359.en
dc.identifier.issn20452322en
dc.identifier.pmid23912934en
dc.identifier.doi10.1038/srep02359en
dc.identifier.urihttp://hdl.handle.net/10754/325390en
dc.description.abstractBy 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.en
dc.language.isoenen
dc.publisherNature Publishing Groupen
dc.relation.urlhttp://arxiv.org/abs/1301.5098en
dc.rightsThis work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/3.0/en
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectchemical modelen
dc.subjectcomputer simulationen
dc.subjectenergy transferen
dc.subjectnonlinear systemen
dc.subjectquantum theoryen
dc.subjectthermodynamicsen
dc.subjectComputer Simulationen
dc.subjectEnergy Transferen
dc.subjectModels, Chemicalen
dc.subjectNonlinear Dynamicsen
dc.subjectQuantum Theoryen
dc.subjectThermodynamicsen
dc.titleNonlinearly-enhanced energy transport in many dimensional quantum chaosen
dc.typeArticleen
dc.identifier.journalScientific Reportsen
dc.identifier.pmcidPMC3733059en
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionPRIMALIGHT, Faculty of Electrical Engineeringen
dc.contributor.institutionMax-Born Institute, Max-Born-Strabe 2 A, 12489, Berlin, Germanyen
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
dc.identifier.arxividarXiv:1301.5098en
kaust.authorBrambila, Daniloen
kaust.authorFratalocchi, Andreaen

Related articles on PubMed

This item is licensed under a Creative Commons License
Creative Commons
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.