Open AccessIdeal gas model of Bose-Einstein condensates confined in the parabolic trap
Author(s) -
Widyaningrum Indrasari,
Esmar Budi,
Riser Fahdiran
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1402/4/044084
Subject(s) - ideal gas , harmonic potential , physics , bose–einstein condensate , bose gas , ideal (ethics) , gross–pitaevskii equation , volume (thermodynamics) , trap (plumbing) , trapping , inverse , anisotropy , partition function (quantum field theory) , quantum mechanics , mathematics , geometry , ecology , philosophy , epistemology , meteorology , biology
By using the one-dimensional canonical partition function, we modelled an ideal gas-like form of a set of Bose-Einstein condensates confined by a three-dimensional anisotropic parabolic trap. The model itself was constructed by taking the eigenenergies of the one-dimensional Gross-Pitaevskii equation in the longitudinal direction and enabling the harmonic volume as the inverse cube of average geometric trapping frequency to substitute the real volume. In this paper, we showed that the condensates form an ideal gas represented by its equation of state and have similar mature to Einstein’s solid-like model with the corrections in both the low and high temperatures in the internal energy formulations.