2013/11/30 by Partha Goswami, Arpita Rakshit, Bimalendu Deb · 3 citations
Computer Science · Physics and Astronomy · #Atom (system on chip) #Atomic physics #Bound state #Cold Atom Physics and Bose-Einstein Condensates #Energy (signal processing) #Ground state #Harmonic #Materials science #Physics #Quantum Information and Cryptography #Quantum mechanics #Quantum, superfluid, helium dynamics #Range (aeronautics) #Scattering #Scattering length #Trap (plumbing) #Wave function #cond-mat.quant-gas #physics.atom-ph
paper · pdf · doi:10.1007/s12648-015-0653-4
published in Indian Journal of Physics 89(8), 773-781 (Springer Science+Business Media) · 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 Since the title has changed and text has been substantially modified, the earlier paper has been replaced by the new one.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)
openalex publication_date 2015/02/18 · arxiv created 2015/04/09 · arxiv updated 2015/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 r0 and the s-wave scattering length as. We show that one can make use of two forms of finite-range model potentials, one for as > 0 and the other for as < 0. Both potentials reduce to same form in the limits as → ± ∞ . We investigate into the dependence of the binding energies and the wave functions of two-atom trap-bound states on as and r0. In particular, we study the effects of as 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.