Excitation spectrum of a two-component Bose-Einstein condensate in a ring potential

TL;DR

This paper investigates the excitation spectrum of a two-component Bose-Einstein condensate in a ring potential, revealing connections between lowest-energy states and solitary waves, especially in the weak interaction limit.

Contribution

It provides an exact diagonalization approach to determine the full excitation spectrum of a two-component BEC in a ring, highlighting the link to solitary-wave solutions.

Findings

Lowest-energy states align with solitary-wave solutions

Exact spectrum obtained in the weak interaction limit

System exhibits unique properties under rotation and excitation

Abstract

A mixture of two distinguishable Bose-Einstein condensates confined in a ring potential has numerous interesting properties under rotational and solitary-wave excitation. The lowest-energy states for a fixed angular momentum coincide with a family of solitary-wave solutions. In the limit of weak interactions, exact diagonalization of the many-body Hamiltonian is possible and permits evaluation of the complete excitation spectrum of the system.