Information scrambling -- a quantum thermodynamic perspective

TL;DR

This paper reviews how quantum information scrambling relates to thermodynamics, exploring key quantifiers like OTOC and mutual information across various models, including quantum gravity, to understand quantum chaos and many-body dynamics.

Contribution

It synthesizes recent findings on quantum information scrambling from a thermodynamic perspective, highlighting its multifaceted nature and significance in quantum many-body physics.

Findings

Scrambling quantifiers connect to thermodynamic properties.

Quantum gravity models like SYK exhibit characteristic scrambling behavior.

Understanding scrambling aids in distinguishing chaotic and integrable systems.

Abstract

Recent advances in quantum information science have shed light on the intricate dynamics of quantum many-body systems, for which quantum information scrambling is a perfect example. Motivated by considerations of the thermodynamics of quantum information, this perspective aims at synthesizing key findings from several pivotal studies and exploring various aspects of quantum scrambling. We consider quantifiers such as the Out-of-Time-Ordered Correlator (OTOC), the quantum Mutual Information, and the Tripartite Mutual Information (TMI), their connections to thermodynamics, and their role in understanding chaotic versus integrable quantum systems. With a focus on representative examples, we cover a range of topics, including the thermodynamics of quantum information scrambling, and the scrambling dynamics in quantum gravity models such as the Sachdev-Ye-Kitaev (SYK) model. Examining these diverse approaches enables us to highlight the multifaceted nature of quantum information scrambling and its significance in understanding the fundamental aspects of quantum many-body dynamics at the intersection of quantum mechanics and thermodynamics.