`Flat Phase' Loading of a Bose-Einstein Condensate into an Optical Lattice

Details `Flat Phase' Loading of a Bose-Einstein Condensate into an Optical Lattice `Flat Phase' Loading of a Bose-Einstein Condensate into an Optical Lattice

2002-09-19

arxiv.org/abs/physics/0209071v1

Phys. Rev. A 66, 053620 (2002)

Physics

Atomic Physics

LaTeX 11 Pages, 6 figures

Scientific paper

10.1103/PhysRevA.66.053620

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.

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