Critical points of a three-dimensional harmonically trapped Bose gas

Effective area and expansion energy of trapped Bose gas in a combined magnetic–optical potential

“…An accurate approximation for the DOS can be obtained by using the calculation techniques that given in our previous work [18] with a slight modification along the lines of Refs. [15,19,24].…”

“…The scaling parameter η, which is vanished in the thermodynamic limit (N → ∞) [18], gives the scaling behavior of all thermodynamic quantities due to the interatomic interaction. It is first introduced by Dalfovo et al in [30] and determined by the ratio between the chemical potential in the absence of the optical potential calculated at T = 0 and the transition temperature for noninteracting particles in the same trap.…”

“…In the present Letter a new DOS, which is an extension of our previous work [18,19], is developed. The parametrized DOS considered the effects of finite size, anisotropic of the harmonic potential, interatomic interactions and the deepness of the lattice potential, all of them simultaneously.…”

Thermodynamic properties of a rotating Bose--Einstein condensation in a deep optical lattice

“…Two slight modifications for the DOS in [29,30,31,32] are considered by one of the authors for rotating condensate [15] and trapped boson gas in a combined magnetic-optical potential [11]. However, for the spectrum in Eq.…”

“…These effects can be seen more clearly by calculating the critical temperature. The latter is obtained as usual [11,30,32] by setting N 0 /N in Eq. (19) equal to zero, thus…”