Effective Interaction in the two-mode model

P. CAPUZZI; H. M. CATALDO; D. M. JEZEK

Praga

Workshop; 22nd International Laser Physics Workshop; 2013

We investigate the range of validity of a recently developed modification to the two-mode model of Bose-Einstein condensate for several geometries and number of particles. For large number of particles, it has been demonstrated [1] that a reduced interaction energy parameter has to be taken into account to accurately reproduce the dynamics of Bose- Einstein condensates in a double-well system within a two-mode model. Here, by means of 3D full Gross-Pitaevskii simulations we show that this factor leads to very accurate predictions for the dynamics in Josephson and self trapping regimes. Furthermore we explore systems with experimental parameters which involve a lower number of particles (≃ 1000) and a different confining potential [2]. We find that the effective interaction can also be defined but its value should be modified with a higher factor than that predicted in the Thomas-Fermi regime.