Eur. Phys. J. D 46, 151-155 (2008)
https://doi.org/10.1140/epjd/e2007-00279-1

Critical temperature for Bose-Einstein condensation in quartic potentials

Physical Research Laboratory, Navarangpura, Ahmedabad, 380 009, India

Corresponding author: ^a angom@prl.res.in

Received: 28 July 2007
Revised: 7 September 2007
Published online: 3 October 2007

Abstract

The quartic confining potential has emerged as a key ingredient to obtain fast rotating vortices in BEC as well as observation of quantum phase transitions in optical lattices. We calculate the critical temperature T_c of bosons at which normal to BEC transition occurs for the quartic confining potential. Further more, we evaluate the effect of finite particle number on T_c and find that ΔT_c/T_c is larger in quartic potential as compared to quadratic potential for number of particles <10⁵. Interestingly, the situation is reversed if the number of particles is ≳10⁵.