Integrable Attractors in the Adiabatic Landscape of Chaotic Systems

Adiabaticity has been extensively used in studying quantum chaos and integrability in the past decades. In this talk, we consider the adiabatic landscape of nonintegrable, many-body quantum systems with two coupling parameters that are comprised of both integrable and nonintegrable regimes. We find that integrable regions behave as attractors within the manifold defined by the quantum geometric tensor and observe universal behavior in the adiabatic flow towards integrability.