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Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
  • KJH Law
  • PG Kevrekidis, University of Massachusetts - Amherst
  • BP Anderson
  • R Carretero-Gonzalez
  • DJ Frantzeskakis
Publication Date
2008
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.
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://iopscience.iop.org/0953-4075/41/19/195303/
Pages
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Citation Information
KJH Law, PG Kevrekidis, BP Anderson, R Carretero-Gonzalez, et al.. "Structure and stability of two-dimensional Bose-Einstein condensates under both harmonic and lattice confinement" JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS Vol. 41 Iss. 19 (2008)
Available at: http://works.bepress.com/panos_kevrekidis/5/