TY - JOUR
T1 - Bose-Einstein Condensation in a Harmonic Trap
T2 - Effect of Interactions on Tc
AU - Leggett, A. J.
N1 - It is a pleasure to dedicate this paper to Michael Fisher on the occasion of his 70th birthday, and to wish him many more happy and productive years of activity in physics. This work was supported by the National Science Foundation under Grant No. NSF-DMR-99-86199. I am grateful to Elliott Lieb for drawing my attention to ref. 12.
PY - 2003/3
Y1 - 2003/3
N2 - For a harmonically trapped dilute Bose gas with uniformly repulsive interactions which is assumed to satisfy a certain condition on the extensivity of fluctuations, I find on upper bound on the condensate fraction f. If BEC is defined by the condition that f > const. N-α, α.< 1/2, I argue that in the limit N → ∞, V0 → 0, NV 0 → const. where V0 is the space integral of the potential, the interactions cannot increase the critical temperature over that of the noninteracting gas.
AB - For a harmonically trapped dilute Bose gas with uniformly repulsive interactions which is assumed to satisfy a certain condition on the extensivity of fluctuations, I find on upper bound on the condensate fraction f. If BEC is defined by the condition that f > const. N-α, α.< 1/2, I argue that in the limit N → ∞, V0 → 0, NV 0 → const. where V0 is the space integral of the potential, the interactions cannot increase the critical temperature over that of the noninteracting gas.
KW - Bose-Einstein condensation
KW - Critical temperature
KW - Harmonic traps
KW - Interaction effects
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U2 - 10.1023/A:1022124222128
DO - 10.1023/A:1022124222128
M3 - Article
AN - SCOPUS:0037276420
SN - 0022-4715
VL - 110
SP - 903
EP - 910
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 3-6
ER -