Theoretical description of two ultracold atoms in finite 3D optical lattices using realistic interatomic interaction potentials
arXiv:1107.2770 · doi:10.1103/PhysRevA.84.062710
Abstract
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.
19 pages, 5 figures
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Cited by in corpus (15)
- Few-body physics with ultracold atomic and molecular systems in traps
- Coherent molecule formation in anharmonic potentials near confinement-induced resonances
- Symmetries of Three Harmonically-Trapped Particles in One Dimension
- Theory of inelastic confinement-induced resonances due to the coupling of center-of-mass and relative motion
- Tunneling of two bosonic atoms from a one-dimensional anharmonic trap
- Effective many-body parameters for atoms in non-separable Gaussian optical potentials
- Shifts and widths of Feshbach resonances in atomic waveguides
- Laser control of ultracold molecule formation: The case of RbSr
- Strongly interacting fermions in an optical lattice
- Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
- High-precision analysis of Feshbach resonances in a Mott insulator
- Two-channel Bose-Hubbard model of atoms at a Feshbach resonance
- Ultracold collisions of molecules
- Quench dynamics of two interacting atoms in a one-dimensional anharmonic trap
- Non-perturbative theoretical description of two atoms in an optical lattice with time-dependent perturbations