New States of Matter Suggested by New Topological Structures

TL;DR

This paper introduces higher-order topological structures extending Borromean and Brunnian rings, proposing a new hierarchy of Efimov-like states in cold gases based on these advanced links.

Contribution

It extends known topological structures to higher orders and links them to Efimov states, proposing a novel hierarchy of quantum states.

Findings

New higher-order topological structures developed.

Extended connection between Efimov states and complex links.

Proposed a hierarchy of novel quantum states.

Abstract

We extend the well-known Borromean and Brunnian rings to new higher order versions. Then we suggest an extension of the connection between Efimov states in cold gases and Borromean and Brunnian rings to these new higher order links. This gives rise to a whole new hierarchy of possible states with Efimov states at the bottom.