Nonlinear transport of Bose-Einstein condensates through mesoscopic waveguides

TL;DR

This paper investigates the nonlinear transport behavior of Bose-Einstein condensates in mesoscopic waveguides, revealing how interactions induce bistability and affect resonant transmission through quantum dots.

Contribution

It introduces analytical and numerical mean-field methods to analyze both stationary and dynamic condensate flow in mesoscopic waveguides with quantum dots, highlighting nonlinear effects.

Findings

Resonant transport is suppressed by interaction-induced bistability.

A link is established between transmission spectrum features and quasi-bound states.

The methods enable detailed study of nonlinear propagation phenomena.

Abstract

We study the coherent flow of interacting Bose-condensed atoms in mesoscopic waveguide geometries. Analytical and numerical methods, based on the mean-field description of the condensate, are developed to study both stationary as well as time-dependent propagation processes. We apply these methods to the propagation of a condensate through an atomic quantum dot in a waveguide, discuss the nonlinear transmission spectrum and show that resonant transport is generally suppressed due to an interaction-induced bistability phenomenon. Finally, we establish a link between the nonlinear features of the transmission spectrum and the self-consistent quasi-bound states of the quantum dot.