Excited states in the large density limit: a variational approach

Authors

MP Coles
DE Pelinovsky
PG Kevrekidis, University of Massachusetts - AmherstFollow

Publication Date

2010

Journal or Book Title

NONLINEARITY

Abstract

Excited states of Bose–Einstein condensates are considered in the large density limit of the Gross–Pitaevskii equation with repulsive inter-atomic interactions and a harmonic potential. The relative dynamics of dark solitons (density dips on the localized condensate) with respect to the harmonic potential and to each other is approximated using the averaged Lagrangian method. This permits a complete characterization of the equilibrium positions of the dark solitons as a function of the chemical potential. It also yields an analytical handle on the oscillation frequencies of dark solitons around such equilibria. The asymptotic predictions are generalized for an arbitrary number of dark solitons and are corroborated by numerical computations for 2- and 3-soliton configurations.

Comments

The published version is located at http://iopscience.iop.org/0951-7715/23/8/001

Pages

1753-1770

Volume

23

Issue

8

Recommended Citation

Coles, MP; Pelinovsky, DE; and Kevrekidis, PG, "Excited states in the large density limit: a variational approach" (2010). NONLINEARITY. 18.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/18