Atom laser dynamics in a tight-waveguide

TL;DR

This paper investigates the transient behavior of atom laser formation in a tight waveguide, highlighting diffraction in time phenomena and how apodization can suppress oscillations, with revival linked to trap frequency.

Contribution

It introduces a detailed analysis of diffraction in time effects during atom laser formation and demonstrates how apodization influences the transient dynamics.

Findings

Diffraction in time causes wiggles in the density profile.

Apodization suppresses oscillations temporarily.

Revival time scales inversely with trap frequency.

Abstract

We study the transient dynamics that arise during the formation of an atom laser beam in a tight waveguide. During the time evolution the density profile develops a series of wiggles which are related to the diffraction in time phenomenon. The apodization of matter waves, which relies on the use of smooth aperture functions, allows to suppress such oscillations in a time interval, after which there is a revival of the diffraction in time. The revival time scale is directly related to the inverse of the harmonic trap frequency for the atom reservoir.