The Adiabatic Transport of Bose-Einstein Condensates in a Double-Well Trap: Case a Small Nonlinearity
V.O. Nesterenko, A.N. Novikov, and E. Suraud

TL;DR
This paper investigates adiabatic transport of Bose-Einstein condensates in a double-well trap using Landau-Zener schemes under small nonlinearity, revealing different dynamics compared to strong coupling cases.
Contribution
It compares Landau-Zener and Gaussian Landau-Zener schemes for BEC transport in the small nonlinearity regime, highlighting their distinct behaviors.
Findings
LZ and GLZ schemes exhibit different transport dynamics.
Significant deviations occur from the strong coupling case.
Mean field calculations support the different behaviors.
Abstract
A complete adiabatic transport of Bose-Einstein condensate in a double-well trap is investigated within the Landau-Zener (LZ) and Gaussian Landau-Zener (GLZ) schemes for the case of a small nonlinearity, when the atomic interaction is weaker than the coupling. The schemes use the constant (LZ) and time-dependent Gaussian (GLZ) couplings. The mean field calculations show that LZ and GLZ suggest essentially different transport dynamics. Significant deviations from the case of a strong coupling are discussed.
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