Introduction to {\it Quantum Matter}

TL;DR

This paper provides an overview of quantum matter, discussing its theoretical foundations, re-quantization, and the universal geometric structures emerging from quantum level crossings, based on remarks at a Nobel Symposium.

Contribution

It offers a broad perspective on quantum matter and introduces the concept of universal geometry in quantum level crossings, highlighting recent theoretical insights.

Findings

Universal geometry in quantum level crossing

Insights into re-quantization processes

Broad overview of quantum matter theory

Abstract

This paper records my opening remarks at Nobel Symposium 148, on Graphene and Quantum Matter, at Saltsj\"obaden, Sweden, in June 2010. After some broad comments on the quantum theory of matter as a frontier of physics, and some slightly more particular comments about re-quantization, I report on the universal geometry that arises in a refined discussion of quantum-mechanical level crossing.