Je. Williams, Optimal conditions for observing Josephson oscillations in a double-well Bose-Einstein condensate - art. no. 013610, PHYS REV A, 6401(1), 2001, pp. 3610
The Josephson oscillations between condensates in a double-well trap are kn
own theoretically to be strongly effected by the mean-field interaction in
dilute atomic gases. The most important effect is that the amplitude of osc
illation in the relative population of the two wells is greatly suppressed
due to the mean-field interaction, which can make it difficult to observe t
he Josephson effect. Starting from the work of Raghavan, Smerzi, Fantoni, a
nd Shenoy, we calculate the maximum amplitude of oscillation in the relativ
e population as a function of Various physical parameters, such as the trap
aspect ratio, the Gaussian barrier height and width, and the total number
of atoms in the condensate. We also compare results for Na-23 and Rb-87. Ou
r main new result is that the maximum amplitude of oscillation depends stro
ngly on the aspect ratio of the harmonic trap and can be maximized in a ''p
ancake-shaped'' trap, as used in the experiment of Anderson and Kasevich.