Analytical results for the interaction energy of a trapped, weakly interacting Bose-Einstein condensate

Authors
Jackson, AD Kavoulakis, GM
Citation
Ad. Jackson et Gm. Kavoulakis, Analytical results for the interaction energy of a trapped, weakly interacting Bose-Einstein condensate, PHYS REV L, 85(14), 2000, pp. 2854-2856
Citations number
17
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
85
Issue
14
Year of publication
2000
Pages
2854 - 2856
Database
ISI
SICI code
0031-9007(20001002)85:14<2854:ARFTIE>2.0.ZU;2-J
Abstract
We examine the problem of a repulsive, weakly interacting and harmonically trapped Bose-Einstein condensate under rotation. We derive a simple analyti c expression for the energy incorporating the interactions when the angular momentum per particle is between zero and one and find that the interactio n energy decreases linearly as a Function of the angular momentum in agreem ent with previous numerical and limiting analytical studies.