Interference Pattern Formation between Bounded-Solitons and Radiation in Momentum Space: Possible Detection of Radiation from Bounded-Solitons with Bose-Einstein Condensate of Neutral Atoms

TL;DR

This paper proposes a method to detect radiation from bounded solitons in Bose-Einstein condensates by observing interference patterns in momentum space, confirmed through numerical simulations and a simple model.

Contribution

It introduces an indirect detection technique for soliton radiation via interference patterns in momentum space, supported by numerical and theoretical analysis.

Findings

Notched interference structure observed in momentum space.

Numerical simulations confirm the predicted interference pattern.

Feasible experimental parameters for BEC detection are provided.

Abstract

We propose an indirect method to observe radiation from an incomplete soliton with sufficiently large amplitude. We show that the radiation causes a notched structure on the envelope of the wave packet in the momentum space. The origin of this structure is a result of interference between the main body of oscillating solitons and the small radiation in the momentum space. We numerically integrate the nonlinear Schr\"odinger equation and perform Fourier transformation to confirm that the predicted structure really appears. We also show the simple model which reproduces the qualitative result. Experimental detection of the notched structure with Bose-Einstein condensation of neutral atoms is discussed and suitable parameters for this detection experiment are shown.