Scattering tightly bound dimers off a scattering potential

TL;DR

This paper investigates the dynamics of two attractively interacting atoms in an optical lattice encountering a scattering potential, exploring the generation of two-particle Schrödinger cat states through numerical simulations.

Contribution

It introduces a method to simulate two-particle dynamics with a scattering potential using tightly bound eigenfunctions, advancing understanding of quantum matter wave scattering.

Findings

Successful numerical simulation of two-particle scattering dynamics

Generation of Schrödinger cat states from scattering processes

Validation of a scheme for quantum matter wave soliton scattering

Abstract

The motion of two attractively interacting atoms in an optical lattice is investigated in the presence of a scattering potential. The initial wavefunction can be prepared by using tightly bound exact two-particle eigenfunction for vanishing scattering potential. This allows to numerically simulate the dynamics in the generation of two-particle Schrodinger cat states using a scheme recently proposed for scattering of quantum matter wave solitons.