Elastic scattering of a quantum matter-wave bright soliton on a barrier

TL;DR

This paper analyzes the quantum scattering behavior of a one-dimensional bright soliton composed of N particles when it encounters a short-range potential barrier, focusing on low-energy elastic interactions.

Contribution

It provides a full N-body quantum analysis of soliton-barrier scattering, deriving results specific to the low-energy elastic regime for quantum matter-wave solitons.

Findings

Derived results for quantum soliton scattering on external potentials.

Identified conditions for elastic scattering in the low-energy regime.

Characterized the energy thresholds for particle extraction from the soliton.

Abstract

We consider a one-dimensional matter-wave bright soliton, corresponding to the ground bound state of N particles of mass m having a binary attractive delta potential interaction on the open line. For a full N-body quantum treatment, we derive several results for the scattering of this quantum soliton on a short-range, bounded from below, external potential, restricting to the low energy, elastic regime where the centre-of-mass kinetic energy of the incoming soliton is lower than the internal energy gap of the soliton, that is the minimal energy required to extract particles from the soliton.