ACCURATE DENSITY OF STATES FOR CONDENSED ~(87)Rb IN ANISOTROPIC HARMONIC OSCILLATOR CONFINING POTENTIAL TRAP

摘要

An accurate formula for the density of states for ~(87)Rb is obtained from fitting the theoretical calculations with experimental measurements for the condensed fraction. This formula is obtained for finite number of atoms confined in a 3D harmonic potential trap, and it is used to calculate the critical temperature for ~(87)Rb and the energy per particles. The results for energy show good agreement with the experimental results for temperature T less than the thermodynamic temperature T_0. The calculated value for critical temperature is in a good agreement with the experimental measured temperature. The semiclassical approximation works well for these systems on a wide and useful range of temperatures; its accuracy is expected to be good if the number of trapped atoms is large and K_BT_0 > > hΩ.