Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates

TL;DR

This paper introduces a method to rapidly manipulate low-dimensional Bose-Einstein condensates by controlling the transverse potential, enabling precise experiments and dynamic control of quantum states.

Contribution

It presents a novel technique for fast, frictionless control of Bose-Einstein condensates through engineered transverse potential modulation, leveraging self-similar scaling laws.

Findings

Enables preservation of short-range correlations during time of flight

Allows implementation of nearly-sudden interaction quenches

Facilitates self-similar dynamics in quasi-1D condensates

Abstract

A method is proposed to implement a fast frictionless dynamics in a low-dimensional Bose-Einstein condensate by engineering the time-dependence of the transverse confining potential in a highly anisotropic trap. The method exploits the inversion of the dynamical self-similar scaling law in the radial degrees of freedom. We discuss the application of the method to preserve short-range correlations in time of flight experiments, the implementation of nearly-sudden quenches of non-linear interactions, and its power to assist self-similar dynamics in quasi-one dimensional condensates.