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- Title
A COMPARATIVE STUDY OF THE EXPERIMENTAL FEATURES OF THE BOSE-EINSTEIN CONDENSATES OF <sup>7</sup>Li, <sup>23</sup>Na, <sup>41</sup>K, <sup>85</sup>Rb, <sup>87</sup>Rb AND <sup>133</sup>Cs VIA A LINEARLY PERTURBED HARMONIC OSCILLATOR POTENTIAL.
- Authors
MALIK, G. P.; VARMA, V. S.
- Abstract
We show that the observed features of the above-named Bose-Einstein condensates can be understood via an effective confining potential of the form of: where T denotes the temperature, m the mass of an atom of the trapped gas, ω the geometric mean of the three frequencies used for confinement, k the Boltzmann constant and b a dimensionless perturbation parameter. Such an exercise is undertaken because Tcs calculated via earlier treatments based solely on an r2-potential lead to a mismatch with the experimental values. We fix b by substituting the density of states corresponding to V(r, T) into the equation for the number of excited atoms Nexc(T) and appealing to the experimental data at T = Tc. The values of b thus found are: 1.3426 (7Li), 1.8420 (23Na), 0.4998 (41K), 0.3486 (85Rb), 1.5332 (87Rb) and 1.2430 (133Cs). While these are used to calculate Nexc(T) for each of the condensates at T = Tc/2 and Tc/10, we also report on: (a) the variation of b for each condensate for some selected values of the pair (Nexc, Tc) and (b) the possibility of realizing the state (Nexc, pTc; p (a number) ≫1) for all of these condensates with a unique value of b, even though the parameter-sets {m, ω, Nexc, Tc} characterizing them differ widely. Attention is drawn to diverse fields where T-dependent Hamiltonians have found useful application.
- Subjects
BOSE-Einstein condensation; HARMONIC oscillators; POTENTIAL theory (Physics); COMPARATIVE studies; PERTURBATION theory; NUMERICAL calculations; DENSITY of states
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2013, Vol 27, Issue 12, p1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979213500422