Theoretical description of two ultracold atoms in nite 3D optical lattices using

Printer-friendly versionSend by emailPDF version
Date: 
2011-08-24
Author(s): 

S. Grishkevich, S. Sala, A. Saenz

Reference: 

arXiv:1107.2770

A theoretical approach is described for an exact numerical treatment of a pair of ultracold atoms interacting via a central potential that are trapped in a finite three-dimensional optical lattice. The coupling of center-of-mass and relative-motion coordinates is treated using an exact diagonalization (configuration-interaction) approach. The orthorhombic symmetry of an optical lattice with three different but orthogonal lattice vectors is explicitly considered as is the Fermionic or Bosonic symmetry in the case of indistinguishable particles.