Exact Floquet states of a driven condensate and their stabilities

dc.contributor.authorHai, Wenhua
dc.contributor.authorLi (Lee), Chaohong
dc.contributor.authorZhu, Qianquan
dc.date.accessioned2015-12-08T22:43:12Z
dc.date.issued2008
dc.date.updated2015-12-08T10:38:50Z
dc.description.abstractWe investigate the Gross-Pitaevskii equation which describes an atomic Bose-Einstein condensate confined in an optical lattice and driven by a spatiotemporal periodic laser field. It is demonstrated that the exact Floquet states appear when the external time-dependent potential is balanced by the nonlinear mean-field interaction. The balance region of parameters is divided into a phase-continuing region and a phase-jumping one. In the latter region, the Floquet states are spatiotemporal vortices of nontrivial phase structures and zero-density cores. Due to the velocity singularities of vortex cores and the blowing-up of perturbed solutions, the spatiotemporal vortices are unstable periodic states embedded into chaos. The stability and instability of these Floquet states are numerically explored by the time evolution of fidelity between the exact and numerical solutions. It is numerically illustrated that the stable Floquet states in the phase-continuing region could be prepared from the uniformly initial states by slow growth of the external potential.
dc.identifier.issn0953-4075
dc.identifier.urihttp://hdl.handle.net/1885/37173
dc.publisherInstitute of Physics Publishing
dc.sourceJournal of Physics B: Atomic, Molecular and Optical Physics
dc.subjectKeywords: Ground state; Lattice constants; Mean field theory; Nonlinear equations; Exact Floquet states; Gross-Pitaevskii equations; Optical lattice; Spatiotemporal periodic laser fields; Bose-Einstein condensation
dc.titleExact Floquet states of a driven condensate and their stabilities
dc.typeJournal article
local.bibliographicCitation.startpage7
local.contributor.affiliationHai, Wenhua, Human Normal University
local.contributor.affiliationLi (Lee), Chaohong, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationZhu, Qianquan, Hunan Normal University
local.contributor.authoremailrepository.admin@anu.edu.au
local.contributor.authoruidLi (Lee), Chaohong, u4192581
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor020604 - Quantum Optics
local.identifier.ariespublicationu9201385xPUB145
local.identifier.citationvolume41
local.identifier.doi10.1088/0953-4075/41/9/095301
local.identifier.scopusID2-s2.0-42549145352
local.identifier.uidSubmittedByu9201385
local.type.statusPublished Version

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