Atoms in modulated optical lattices—II
Farhan Saif, Shinichi Watanabe
Atoms in modulated optical lattices-II 'The symmetries of the causes are to be found in the effects.' -Pierre CurieIn experiments on ultra-cold atoms, we also consider optical lattices in the presence of a quadratic confining potential.Experimentally, the quadratic potential can be provided for the atoms by means of a magneto-optic trap.This generates a linearly changing force on the confined quantum particles.The physical system can be described by the governing Hamiltonian, written asThe one-dimensional periodic optical lattice potential, expressed as V x ( ) and defined in equation (3.61), isHere, ω H is the oscillation frequency of the ultra-cold atom in the quadratic confining potential as the optical lattice is switched off.Wannier basis.Following the procedure developed in section 6.1 for optical lattices, we write the above Hamiltonian in the orthonormal Wannier functions
Institute of Physics eBooks•Dec 1, 2023•0 citations