Dual Unitary Circuits as Models of Many-Body Quantum Chaos

Explore the concept of dual unitary circuits as models of many-body quantum chaos in this 33-minute lecture by Arul Lakshminarayan from PCS Institute for Basic Science. Delve into the study of dual-unitary circuits as models of many-body quantum systems, examining their range of dynamical features. Learn about the quantum ergodic hierarchy in these systems, with a focus on quantum Bernoulli-like systems constructed of perfect tensors. Discover algorithms for constructing dual-unitary and multi-unitary or perfect tensors. Cover topics including unitary circuits, entangling power, quantum information theory, correlation functions, eigenvalues, and phase diagrams. Gain insights into the motivations behind this research and its implications for understanding quantum chaos in complex systems.

Introduction
Motivations
Unitary Circuits
Entangling Power
Quantum Information Theory
Constructing Dual Unitaries
Correlation Functions
Eigenvalues
Phase Diagram
Summary