Generating mesoscopic Bell states via collisions of distinguishable quantum bright solitons

TL;DR

This paper demonstrates that collisions of distinguishable quantum bright solitons in a one-dimensional trap can generate mesoscopic Bell states, with potential realization in Rb-Cs mixtures, validated through quantum and mean-field simulations.

Contribution

It introduces a method to generate mesoscopic Bell states via soliton collisions and validates the approach with quantum and mean-field simulations.

Findings

Collision-induced Bell states can be reliably distinguished from statistical mixtures.

Quantum simulations and mean-field approaches agree on the validity of the method.

Potential realization in 85Rb and 133Cs mixtures based on scattering length calculations.

Abstract

We investigate numerically the collisions of two distinguishable quantum matter-wave bright solitons in a one-dimensional harmonic trap. We show that such collisions can be used to generate mesoscopic Bell states which can reliably be distinguished from statistical mixtures. Calculation of the relevant s-wave scattering lengths predicts that such states could potentially be realized in quantum-degenerate mixtures of 85Rb and 133Cs. In addition to fully quantum simulations for two distinguishable two-particle solitons, we use a mean-field description supplemented by a stochastic treatment of quantum fluctuations in the soliton's center of mass: We demonstrate the validity of this approach by comparison to a mathematically rigorous effective potential treatment of the quantum many-particle problem.