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

Abstract

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.

LaTeX 11 Pages, 6 figures

References in corpus (7)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
• A Bose-Einstein condensate in an optical lattice
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• Loading a Bose-Einstein Condensate onto an Optical Lattice: an Application of Optimal Control Theory to The Non Linear Schrödinger Equation
• Macroscopic dynamics of a trapped Bose-Einstein condensate in the presence of 1D and 2D optical lattices
• Bose-Einstein Condensates in Time-Dependent Light Potentials: Adiabatic and Nonadiabatic Behavior of Nonlinear Wave Equations

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• Effective three-body interactions in triangular optical lattices
• Adiabatic loading of bosons into optical lattices
• Adiabatic loading of a Bose-Einstein condensate in a 3D optical lattice
• Adiabatic cooling of Fermions in an optical lattice
• Detection and characterization of multipartite entanglement in optical lattices
• Quantum information and triangular optical lattices
• Fast initialization of a high-fidelity quantum register using optical superlattices
• An Investigation of Mean-field Effects for a Bose Condensate in an Optical Lattice
• Loading Bose condensed atoms into the ground state of an optical lattice
• Cooling ultracold bosons in optical lattices by spectral transform