A model study on atom-atom interactions with large scattering length in quasi-two dimensional traps

Abstract

We carry out a model study on two-atom interactions and bound states in quasi-two dimensional traps. The interactions are modeled by two-parameter potentials with parameters being the range $r_0$ and the $s$-wave scattering length $a_s$. We show that one can make use of two forms of finite-range model potentials, one for $a_s>0$ and the other for $a_s<0$. Both potentials reduce to same form in the limits $a_s\to \pm \infty$. We investigate into the dependence of the binding energies and the wave functions of two-atom trap-bound states on $a_s$ and $r_0$. In particular, we study the effects of $a_s$ ranging from large negative to large positive values on the bound state properties. Our results show that long-range interactions with infinite scattering length significantly alter the ground-state energy of the two atoms in a quasi-two or two dimensional trap. In contrast, short-range interactions can not significantly change the ground-state energy of two atoms in a 2D harmonic trap.

11 pages, 6 figures. The main results and conclusions remain same as in the previous paper. Since the title has changed and text has been substantially modified, the earlier paper has been replaced by the new one. in Indian Journal of Physics (2015)

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Attractive and repulsive Fermi polarons in two dimensions
• Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
• Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
• Bose-Einstein condensate in a harmonic trap decorated with Dirac delta functions

Cited by in corpus (2)

• Finite-range model potentials for resonant interactions
• Number-phase uncertainty and quantum dynamics of bosons and fermions interacting with a finite range and large scattering length in a double-well potential