Disassociation of a one-dimensional cold molecule via quantum scattering

TL;DR

This paper presents a theoretical model for quantum scattering of 1D cold molecules, analyzing disassociation, reflection, and transmission probabilities, with results applicable to upcoming ultracold molecule experiments.

Contribution

It introduces a simplified theoretical framework combining Born approximation and Lippmann-Schwinger equation to study disassociation in 1D cold molecules, highlighting the effects of interaction strength and momentum.

Findings

Maximum disassociation rate saturates with increasing interaction strength.

Disassociation depends on injection momentum and interaction parameters.

Model predictions are relevant for future experimental realizations.

Abstract

Motivated by the recent experimental developments on ultracold molecules and atoms, we propose a simplest theoretical model to address the disassociation, reflection and transmission probability of a 1-dimensional cold molecule via quantum scattering. First, we give the Born approximation results in the weak interaction regime. Then, employing the Lippmann-Schwinger equation, we give the numerical solution and investigate the disassociation's dependence on the injection momentum and the interaction strengths. We find that the maximum disassociation rate has a limit as increasing the interaction strengths and injection momentum. We expect that our model can be realized in experiments in the near future.