Mossbauer effect for dark solitons in Bose-Einstein condensates

TL;DR

This paper introduces a Mossbauer-effect-based equation of motion for dark solitons in Bose-Einstein condensates, linking their energetic instability to particle-like behavior, supported by numerical simulations and potential experimental methods.

Contribution

It presents a novel theoretical framework connecting the Mossbauer effect to dark soliton dynamics in Bose-Einstein condensates, supported by numerical validation.

Findings

Dark solitons exhibit particle-like motion linked to energetic instability.

A simple equation of motion based on the Mossbauer effect is derived.

Numerical simulations support the theoretical model.

Abstract

We show that the energetic instability of dark solitons is associated with particle-like motion, and present a simple equation of motion, based on the M\"ossbauer effect, for dark solitons propagating in inhomogeneous Thomas-Fermi clouds. Numerical simulations support our theory. We discuss some experimental approaches.