The switching on of an optical lattice potential can divide a BEC into many individual pieces, where phase coherence is maintained across the whole condensate. However, because of a spatially dependent change in the density and thus the mean field per well site, one can end up with a quadratic phase dependence developing along the lattice direction if one does not load the lattice adiabatically. It is shown analytically and numerically that a cancellation of this effect is possible by appropriately adjusting the external trap.
|Journal||Physical Review A - Atomic, Molecular, and Optical Physics|
|State||Published - 1 Jan 2002|