Open Quantum Systems for Quarkonia

TL;DR

This paper reviews how open quantum system models, specifically Lindblad equations, are applied to understand quarkonium suppression in heavy-ion collisions, providing a quantum framework for probing the quark-gluon plasma.

Contribution

It explains the derivation of Lindblad equations for quarkonium in different limits and connects the approach to QCD energy scales, offering a comprehensive quantum perspective.

Findings

Derivation of Lindblad equations for quarkonium in quantum Brownian motion and quantum optical limits

Justification of the time scale hierarchy from QCD effective field theories

Discussion of physical implications and open questions in the open quantum system approach

Abstract

I review recent applications of the open quantum system framework in the understanding of quarkonium suppression in heavy-ion collisions, which has been used as a probe of the quark-gluon plasma for decades. The derivation of the Lindblad equations for quarkonium in both the quantum Brownian motion and the quantum optical limits and their semiclassical counterparts is explained. The hierarchy of time scales assumed in the derivation is justified from the separation of energy scales in nonrelativistic effective field theories of QCD. Physical implications of the open quantum system approach are also discussed. Finally, I list some open questions for future studies.