Totally Destructive Many-Particle Interference

TL;DR

This paper develops algebraic suppression laws for many-particle interference in multi-mode scattering setups, revealing how permutation symmetry governs suppressed transition events and demonstrating robustness under disorder and imperfections.

Contribution

It introduces a unified algebraic framework for suppression laws in many-particle interference, encompassing previous results and highlighting the role of permutation symmetry.

Findings

Suppression laws are robust under weak disorder.

Permutation symmetry determines suppressed events.

All known suppression laws are special cases of the new framework.

Abstract

In a general, multi-mode scattering setup, we show how the permutation symmetry of a many-particle input state determines those scattering unitaries which exhibit strictly suppressed many-particle transition events. We formulate purely algebraic suppression laws that identify these events and show that the many-particle interference at their origin is robust under weak disorder and imperfect indistinguishability of the interfering particles. Finally, we demonstrate that all suppression laws so far described in the literature are embedded in the general framework that we here introduce.