Arnold diffusion in a driven optical lattice

dc.contributor.utaustinauthorBoretz, Yingyueen_US
dc.contributor.utaustinauthorReichl, L. E.en_US
dc.creatorBoretz, Yingyueen_US
dc.creatorReichl, L. E.en_US
dc.date.accessioned2017-07-18T20:11:24Z
dc.date.available2017-07-18T20:11:24Z
dc.date.issued2016-03en_US
dc.description.abstractThe effect of time-periodic forces on matter has been a topic of growing interest since the advent of lasers. It is known that dynamical systems with 2.5 or more degrees of freedom are intrinsically unstable. As a consequence, time-periodic driven systems can experience large excursions in energy. We analyze the classical and quantum dynamics of rubidium atoms confined to a time-periodic optical lattice with 2.5 degrees of freedom. When the laser polarizations are orthogonal, the system consists of two 1.5 uncoupled dynamical systems. When laser polarizations are turned away from orthogonal, an Arnold web forms and the dynamics undergoes a fundamental change. For parallel polarizations, we find huge random excursions in the rubidium atom energies and significant entanglement of energies in the quantum dynamics.en_US
dc.description.departmentPhysicsen_US
dc.description.sponsorshipRobert A. Welch Foundation (USA) F-1051en_US
dc.identifierdoi:10.15781/T2HX1662J
dc.identifier.citationBoretz, Yingyue, and L. E. Reichl. "Arnold diffusion in a driven optical lattice." Physical Review E 93, no. 3 (2016): 032214.en_US
dc.identifier.doi10.1103/PhysRevE.93.032214en_US
dc.identifier.issn2470-0045en_US
dc.identifier.urihttp://hdl.handle.net/2152/61174
dc.language.isoEnglishen_US
dc.relation.ispartofUT Faculty/Researcher Worksen_US
dc.relation.ispartofserialPhysical Review Een_US
dc.rightsAdministrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University.en_US
dc.rights.restrictionopenen_US
dc.subjecthamiltonian-systemsen_US
dc.subjectquantum dynamicsen_US
dc.subjectultracold atomsen_US
dc.subjectlocalizationen_US
dc.subjectstabilityen_US
dc.subjectchaosen_US
dc.subjectwaveen_US
dc.subjectweben_US
dc.titleArnold diffusion in a driven optical latticeen_US
dc.typeArticleen_US

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