Out-of-time-order correlators and quantum chaos

TL;DR

This paper reviews how out-of-time-order correlators (OTOCs) serve as key tools in understanding quantum chaos, especially in quantum many-body systems lacking classical analogs.

Contribution

It highlights the significance of OTOCs in characterizing quantum chaos and discusses their role in systems without classical counterparts.

Findings

OTOCs are crucial for diagnosing quantum chaos.

OTOCs help redefine quantum chaos in many-body systems.

The review emphasizes the importance of time-dependent quantities in quantum chaos.

Abstract

Quantum Chaos has originally emerged as the field which studies how the properties of classical chaotic systems arise in their quantum counterparts. The growing interest in quantum many-body systems, with no obvious classical meaning has led to consider time-dependent quantities that can help to characterize and redefine Quantum Chaos. This article reviews the prominent role that the out of time ordered correlator (OTOC) plays to achieve such goal.