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arxiv: 1207.3184 · v1 · submitted 2012-07-13 · 🪐 quant-ph

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Engineering fast and stable splitting of matter waves

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classification 🪐 quant-ph
keywords fastadiabaticsplittingstablewavewelladiabaticityasymmetry
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When attempting to split coherent cold atom clouds or a Bose-Einstein condensate (BEC) by bifurcation of the trap into a double well, slow adiabatic following is unstable with respect to any slight asymmetry, and the wave "collapses" to the lower well, whereas a generic fast chopping splits the wave but it also excites it. Shortcuts to adiabaticity engineered to speed up the adiabatic process through non-adiabatic transients, provide instead quiet and robust fast splitting. The non-linearity of the BEC makes the proposed shortcut even more stable.

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