Abstract
A countable set of asymptotic space-localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross-Pitaevskii equation with nonlocal nonlinearity and a quadratic potential. The asymptotic parameter is 1/T, where T ≫ 1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schrödinger equation is formulated for the Gross-Pitaevskii equation. For the solutions constructed, the Berry phases are found in explicit form.
Original language | English |
---|---|
Pages (from-to) | 1191-1206 |
Number of pages | 16 |
Journal | Journal of Physics A: Mathematical and General |
Volume | 39 |
Issue number | 5 |
DOIs | |
Publication status | Published - 3 Feb 2006 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)