Ideal Gas Model of Bose-Einstein Condensates Confined in the Parabolic Trap
Teguh Budi Prayitno, Esmar Budi, Riser Fahdiran
Universitas Negeri Jakarta
Abstract
By using the one-dimensional canonical partition function, we modeled 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 available 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 solid-like model with corrections both in the low and high temperatures in the internal energy formulations.
Keywords: Bose-Einstein condensation, Gross-Pitaevskii equation, quantum oscillator
Topic: Physics