Open AccessModulational instability of a two-dimensional Bose-Einstein condensate in an optical lattice through a variational approach
Author(s) -
Haijun Chen
Publication year - 2015
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.64.054702
Subject(s) - modulational instability , physics , hamiltonian (control theory) , bose–einstein condensate , optical lattice , lattice (music) , amplitude , instability , quantum mechanics , quantum electrodynamics , mathematical physics , classical mechanics , mathematics , superfluidity , acoustics , mathematical optimization
We investigate the modulational instability of a two-dimensional Bose-Einstein condensate in a two-dimensional optical lattice using a time-dependent variational approach. Within this framework, we derive the ordinary differential equations for time evolution of the amplitude and phase of modulational perturbations. Analyzing these equations and the Hamiltonian of the system, we obtain the modulational instability criterion.