Solitary waves and yrast states in Bose-Einstein condensed gases of atoms

TL;DR

This paper demonstrates that in a one-dimensional Bose-Einstein condensate with periodic boundary conditions, solitary-wave and rotational excitations are fundamentally equivalent, linking various phenomena studied under mean-field theory.

Contribution

It establishes an exact equivalence between solitary-wave and rotational excitations in 1D Bose-Einstein condensates, unifying different effects studied previously.

Findings

Solitary-wave and rotational excitations coincide in 1D BECs.

Connections between effects in solitary waves and rotations are established.

Many phenomena previously studied separately are linked through this equivalence.

Abstract

Considering a Bose-Einstein condensed gas confined in one dimension with periodic boundary conditions, we demonstrate that, very generally, solitary-wave and rotational excitations coincide. This exact equivalence allows us to establish connections between a number of effects that are present in these two problems, many of which have been studied using the mean-field approximation.