scholarly journals Bose-Einstein condensation of a finite number of particles trapped in one or three dimensions

1996 ◽  
Vol 54 (1) ◽  
pp. 656-660 ◽  
Author(s):  
Wolfgang Ketterle ◽  
N. J. van Druten
1997 ◽  
Vol 55 (5) ◽  
pp. 3954-3956 ◽  
Author(s):  
R. Napolitano ◽  
J. De Luca ◽  
V. S. Bagnato ◽  
G. C. Marques

2011 ◽  
Vol 25 (32) ◽  
pp. 4435-4442
Author(s):  
LIWEI CHEN ◽  
GUOZHEN SU ◽  
JINCAN CHEN

The effects of a finite number of particles on the thermodynamic properties of ideal Bose and Fermi gases trapped in any-dimensional harmonic potential are investigated. The orders of relative corrections to the thermodynamic quantities due to the finite number of particles are estimated in different situations. The results obtained for the two trapped quantum gases are compared, and consequently, it is shown that the finite-particle-number effects for the condensed Bose gas (a Bose gas with Bose–Einstein Condensation (BEC) occurring in the system) are much more significant than those for the Fermi gas and normal Bose gas (a Bose gas without BEC).


1999 ◽  
Vol 60 (5) ◽  
pp. 4168-4170 ◽  
Author(s):  
Mingzhe Li ◽  
Lixuan Chen ◽  
Jincan Chen ◽  
Zijun Yan ◽  
Chuanhong Chen

2001 ◽  
Vol 15 (15) ◽  
pp. 2169-2191 ◽  
Author(s):  
SHALINI LUMB ◽  
S. K. MUTHU

The behavior of a finite number of bosons trapped in a bounded harmonic potential is investigated. The eigenvalue spectrum is worked out numerically for three different sizes of the trap. The condensate fraction is determined and is found to increase suddenly below a certain temperature which is a characteristic signature of BEC. The specific heat-temperature curve also shows a peak, with the maximum shifting to lower values and occurring at higher temperatures, as the size of the assembly is reduced.


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