Eur. Phys. J. D (2014) 68: 262
https://doi.org/10.1140/epjd/e2014-50337-6

Regular Article

Condensate fraction and critical temperature of interacting Bose gas in anharmonic trap

¹ Department of Physics, Lady Brabourne College, P-1/2 Suhrawardi Avenue, 700017 Kolkata, India
² Department of Physics, Presidency University, 86/1, College Street, 700073 Kolkata, India
³ Department of Physics, Scottish Church College, 1 & 3, Urquhart square, 700006 Kolkata, India
⁴ Department of Physics, Calcutta University, 92, A.P.C. Road, 700009 Kolkata, India

^a e-mail: sudipcu@rediffmail.com

Received: 29 April 2014
Received in final form: 8 July 2014
Published online: 24 September 2014

Abstract

By using a correlated many body method and using the realistic van der Waals potential we study several statistical measures like the specific heat, transition temperature and the condensate fraction of the interacting Bose gas trapped in an anharmonic potential. As the quadratic plus a quartic confinement makes the trap more tight, the transition temperature increases which makes more favourable condition to achieve Bose-Einstein condensation (BEC) experimentally. BEC in 3D isotropic harmonic potential is also critically studied, the correction to the critical temperature due to finite number of atoms and also the correction due to inter-atomic interaction are calculated by the correlated many-body method. Comparison and discussion with the mean-field results are presented.