Frictionless dynamics of Bose-Einstein condensates under fast trap variations

TL;DR

This paper introduces a method to rapidly change trap frequencies in Bose-Einstein condensates, enabling frictionless, adiabatic-like evolution without additional interaction tuning, especially effective in 2D traps.

Contribution

A novel approach for designing trap frequency variations that achieve fast, frictionless BEC dynamics without extra interaction adjustments, particularly in 2D configurations.

Findings

Method successfully achieves adiabatic-like evolution in short times

Effective in 2D traps without modifying interaction strength

Applicable across different trap dimensions and regimes

Abstract

A method is proposed to design the time dependence of the trap frequency and achieve in a short time an adiabatic-like (frictionless) evolution of Bose-Einstein condensates governed by the Gross-Pitaevskii equation. Different cases depending on the effective dimension of the trap and the interaction regimes are considered. 2D traps are particularly suitable as the method can be applied without the need to impose any additional time-dependent change in the strength of the interatomic interaction or a Thomas-Fermi regime as it occurs for 1D and 3D traps.