Fast splitting of ultracold atom based on variational approach

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2022-04-08

  Online published: 2024-09-15

Abstract

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 interferometers. Specifically, we firstly apply the variational approximation approach to solve the Gross-Pitaevskii (GP) equation in the mean-field approximation theory to derive the dynamic 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.

Cite this article

ZHANG Jia, HAO Minjia, CHEN Xi . Fast splitting of ultracold atom based on variational approach[J]. Journal of Shanghai University, 2024 , 30(4) : 769 -776 . DOI: 10.12066/j.issn.1007-2861.2417

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