



01366nas a2200169   4500008004100000245008200041210006900123260001500192490000700207520083000214100002301044700002001067700002201087700002101109700002301130856004301153       2002                        eng d00a`Flat Phase' Loading of a Bose-Einstein Condensate into an Optical  Lattice
0 aFlat Phase Loading of a BoseEinstein Condensate into an Optical   c2002/11/260 v663 a  It has been proposed that the adiabatic loading of a Bose-Einstein Condensate
(BEC) into an optical lattice via the Mott-insulator transition can be used to
initialize a quantum computer [D. Jaksch, {\it et al.}, Phys. Rev. Lett. {\bf
81}, 3108 (1998)]. The loading of a BEC into the lattice without causing band
excitation is readily achievable; however, unless one switches on an optical
lattice very slowly, the optical lattice causes a phase to accumulate across
the condensate. We show analytically and numerically that a cancellation of
this effect is possible by adjusting the harmonic trap force-constant of the
magnetic trap appropriately, thereby facilitating quick loading of an optical
lattice for quantum computing purposes. A simple analytical theory is developed
for a non-stationary BEC in a harmonic trap.
1 aSklarz, Shlomo, E.1 aFriedler, Inbal1 aTannor, David, J.1 aBand, Yehuda, B.1 aWilliams, Carl, J.  uhttp://arxiv.org/abs/physics/0209071v1