Applications of Holography: Strongly Coupled Systems and Quantum Chaos

Abstract

The gauge/gravity duality (or AdS/CFT correspondence) has emerged as a powerful tool in theoretical physics, providing deep insights into the behavior of strongly interacting systems. This duality investigates various fields of physics, including quantum chaos, condensed matter physics, collective excitations in strongly correlated phases, and quantum information. This thesis reviews several research studies showcasing the applications of gauge/gravity duality in two main topics: collective excitations in strongly coupled systems and quantum chaos.

Collective Excitations in Strongly Coupled Systems: Collective excitations provide valuable information about the underlying fundamental physics governing the system. They help us probe the interactions, symmetries, and dynamics of the constituents. By studying collective modes, we can unravel the fundamental laws and principles that govern the behavior of strongly coupled systems.

Quantum Chaos: In our investigation of quantum chaos, our main objective is to utilize Out-of-Time-Order Correlators (OTOCs) as a diagnostic tool. We focus on understanding the role of OTOCs such as an order parameter, providing insights into the nature and onset of chaotic dynamics in many-body quantum systems.