Counting Statistics of Many-Particle Quantum Walks

TL;DR

This paper investigates many-particle quantum walks on beam splitter arrays, deriving general correlation functions for bosons and fermions, revealing significant many-particle interference effects in counting statistics.

Contribution

It provides a unified framework for multi-mode particle-number correlations in quantum walks, highlighting interference signatures for both bosonic and fermionic particles.

Findings

Derived a general expression for multi-mode correlation functions.

Identified pronounced signatures of many-particle interference.

Applicable to both bosons and fermions.

Abstract

We study quantum walks of many non-interacting particles on a beam splitter array, as a paradigmatic testing ground for the competition of single- and many-particle interference in a multi-mode system. We derive a general expression for multi-mode particle-number correlation functions, valid for bosons and fermions, and infer pronounced signatures of many-particle interferences in the counting statistics.