Critical temperature for Bose-Einstein condensation in quartic potentials
Physical Research Laboratory, Navarangpura, Ahmedabad, 380 009, India
Corresponding author: a email@example.com
Revised: 7 September 2007
Published online: 3 October 2007
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 Tc 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 Tc and find that ΔTc/Tc 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.
PACS: 03.75.Hh – Static properties of condensates; thermodynamical, statistical, and structural properties / 05.30.Jp – Boson systems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007