Projected gross–pitaevskii equation for ring-shaped bose–einstein condensates

authored by
O. O. Prikhodko, Y. M. Bidasyuk
Abstract

We propose an alternative implementation of the projected Gross–Pitaevskki equation adapted for a numerical modeling of the atomic Bose–Einstein condensate trapped in a toroidally shaped potential. We present an accurate efficient scheme to evaluate the required matrix elements and to calculate the time evolution of the matter wave field. We analyze the stability and accuracy of the developed method for equilibrium and nonequilibrium solutions in a ring-shaped trap with an additional barrier potential corresponding to recent experimental realizations.

External Organisation(s)
Kyiv National Taras Shevchenko University
National Metrology Institute of Germany (PTB)
Type
Article
Journal
Ukrainian Journal of Physics
Volume
66
Pages
198-205
No. of pages
8
ISSN
2071-0186
Publication date
07.04.2021
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Physics and Astronomy(all)
Electronic version(s)
https://doi.org/10.15407/ujpe66.3.198 (Access: Open)