Fast splitting of ultracold atom based on variational approach
Shortcuts to adiabaticity can speed up an adiabatic process along a nonadia-batic route.Inspired by the shortcuts to adiabaticity,in this paper we propose a method for fast and stable splitting of atom in a double well based on ultracold atomic interfer-ometers.Specifically,we firstly apply the variational approximation approach to solve the Gross-Pitaevskii(GP)equation in the mean-field approximation theory to derive the dy-namic equation of the Bose-Einstein condensation.Then we use the inverse engineering to design the frequency of external potential,which enables fast splitting of ultracold atom in a shorter time.And this method avoids the final excitation.
shortcuts to adiabaticityvariational approximation approachsplitting of ultracold atominterferometry
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