Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement

K. J H Law, P. G. Kevrekidis, Brian P Anderson, R. Carretero-González, D. J. Frantzeskakis

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

In this work, we study two-dimensional Bose-Einstein condensates confined by both a cylindrically symmetric harmonic potential and an optical lattice with equal periodicity in two orthogonal directions. We first identify the spectrum of the underlying two-dimensional linear problem through multiple-scale techniques. Then, we use the results obtained in the linear limit as a starting point for the existence and stability analysis of the lowest energy states, emanating from the linear ones, in the nonlinear problem. Two-parameter continuations of these states are performed for increasing nonlinearity and optical lattice strengths, and their instabilities and temporal evolution are investigated. It is found that the ground state as well as some of the excited states may be stable or weakly unstable for both attractive and repulsive interatomic interactions. Higher excited states are typically found to be increasingly more unstable.

Original languageEnglish (US)
Article number195303
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume41
Issue number19
DOIs
StatePublished - Oct 14 2008

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Bose-Einstein condensates
harmonics
excitation
periodic variations
nonlinearity
ground state
interactions
energy

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics

Cite this

Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement. / Law, K. J H; Kevrekidis, P. G.; Anderson, Brian P; Carretero-González, R.; Frantzeskakis, D. J.

In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, No. 19, 195303, 14.10.2008.

Research output: Contribution to journalArticle

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