Glassy dynamics and Landau-Zener phenomena in trapped quasi-one dimensional coupled Bose-Einstein condensates

TL;DR

This paper investigates the complex dynamics of coupled one-dimensional Bose-Einstein condensates, focusing on how disorder, interactions, and sweep speed influence atom transfer and phase behavior, revealing glassy and Landau-Zener phenomena.

Contribution

It provides a detailed analysis of the interplay between disorder, interactions, and sweep speed in BECs, introducing a dynamical phase diagram for these effects.

Findings

Disorder and interactions significantly affect atom transfer during Landau-Zener sweeps.

A dynamical phase diagram maps the final states across different parameters.

Glassy dynamics and Landau-Zener phenomena are observed in the system.

Abstract

The purpose of this article is to address the dynamics of an interacting Bose-Einstein condensate confined in coupled one-dimensional Landau-Zener arrays under the influence of disorder and harmonic confinement. In particular, we concentrate in studying the interplay of disorder and interparticle interaction on the transfer of atoms depending on the speed of Landau-Zener sweeps. A dynamical phase diagram summarizing the final situation across ground state and inverse sweeps is given in terms of the effect of disorder, interaction and the speed of the sweeps.