# Many-particle interference in a two-component bosonic Josephson junction: an all-optical simulation

## TL;DR

This paper presents an all-optical simulation of two-component bosonic Josephson junction dynamics, revealing how inter-particle interactions influence many-particle interference patterns through a photonic waveguide array.

## Contribution

It introduces a novel all-optical platform to simulate two-species bosonic interactions and extends the Schwinger representation to describe their dynamics.

## Key findings

- Finite interactions reduce interference contrast
- Interference patterns depend on particle species ratio
- Simulation method allows real-time observation of many-particle effects

## Abstract

We conceive an all-optical representation of the dynamics of two distinct types of interacting bosons in a double well by an array of evanescently coupled photonic waveguides. Many-particle interference effects are probed for various interaction strengths by changing the relative abundance of the particle species and can be readily identified by monitoring the propagation of the light intensity across the waveguide array. In particular, we show that finite inter-particle interaction strengths reduce the many-particle interference contrast by dephasing. A general description of the many-particle dynamics for arbitrary initial states is given in terms of two coupled spins by generalising the Schwinger representation to two particle species.