Coherence simplices

TL;DR

This paper introduces coherence simplices as topological defects in coherence functions, classifies them topologically, and explores their structure, dynamics, and relevance across various physical systems.

Contribution

It provides a new classification scheme for coherence simplices and discusses their significance in different physical contexts.

Findings

Coherence simplices are topological correlation-function defects.

They can be classified based on their topology.

Their structure and dynamics are relevant to multiple physical systems.

Abstract

Coherence simplices are generic topological correlation-function defects supported by a hierarchy of coherence functions. We classify coherence simplices based on their topology and discuss their structure and dynamics, together with their relevance to several physical systems.