Quantum statistical synchronization of non-interacting particles

TL;DR

This paper provides a comprehensive quantum statistical analysis of boson scattering through a Bell multiport beam splitter, revealing interference effects and suppression laws that differ from classical predictions, with implications for experiments and theory.

Contribution

It introduces a full quantum treatment of many-boson scattering in multiport beam splitters, highlighting suppression laws and quantum statistical effects not captured by classical models.

Findings

Event statistics differ from classical combinatorics due to exchange symmetry.

A suppression law for output configurations is derived and widely applicable.

Quantum effects dominate at the level of single transition amplitudes.

Abstract

A full treatment for the scattering of an arbitrary number of bosons through a Bell multiport beam splitter is presented that includes all possible output arrangements. Due to exchange symmetry, the event statistics differs dramatically from the classical case in which the realization probabilities are given by combinatorics. A law for the suppression of output configurations is derived and shown to apply for the majority of all possible arrangements. Such multiparticle interference effects dominate at the level of single transition amplitudes, while a generic bosonic signature can be observed when the average number of occupied ports or the typical number of particles per port is considered. The results allow to classify in a common approach several recent experiments and theoretical studies and disclose many accessible quantum statistical effects involving many particles.