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
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.
Key words: Cold Matter and Quantum Gas
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2014