A hidden symmetry of collisionless sound of Bose condensates in anisotropic traps

TL;DR

This paper uncovers a hidden symmetry in the collisionless sound modes of Bose condensates in anisotropic traps, linked to a conservation law, and discusses how it might be observed via dispersive light scattering.

Contribution

It introduces a novel symmetry property related to collisionless sound modes in Bose condensates within anisotropic traps, revealing a previously unnoticed conservation law.

Findings

Identifies a hidden symmetry in collisionless sound modes.

Links the symmetry to a conservation law.

Proposes a method for experimental observation.

Abstract

We derive a symmetry property for the Fourier-transform of the collisionless sound modes of Bose condensates in anisotropic traps connected with a somewhat hidden conservation law. We discuss its possible observation by dispersive light scattering.