Finite-Size Effects of Surface Tension in Two Segregated BECs Confined by Two Hard Walls

On the finite-size effects in two segregated Bose-Einstein condensates restricted by a hard wall

“…Moreover, the Dirichlet BC is also consistent with the condition in the infinite space ψ 1 ( ì a, −∞) = 0 [16,18]. As to the second condensate, we have two options: either…”

“…To this end, we make use of the double-parabola approximation (DPA) method which was proposed in [14,15] and was developed in [16][17][18]. The boundary problem we deal with is schematically given in figure 1 where the hard wall (optical wall) is placed at z = −h , the interface at z = L and the curve j ( j = 1, 2) represent the condensate profile φ j (z) which will be introduced in the next section.…”

Interface of Two-component Bose-Einstein Condensates in Double-parabola Approximation

“…Using Eqs. ( 2) and ( 4) one can rewrite GP equations (1) in dimensionless form z At this stage, we recall results for wave functions of ground state, which have found in [5]. Within DPA, Eqs.…”

“…In a semi-infinite system of Bose gases, the position of interface was studied in both GP theory [12] and DPA [6]. In our previous work [5], this position was pointed out by solving numerically the coupled GP equations (5). It is obvious that those problems were not thoroughly solved.…”

“…In a homogeneous BECs, which is recently created by an uniform (flat-bottom) optical-box traps [4], the position of interface can be easily chosen at the origin. In case of inhomogeneous BECs, for example, BECs in the finite [5] or semiinfinite space [6], the position of interface becomes a difficult problem.…”