Chuan Liu

The investigation of thermalization mechanisms within isolated systems assumes paramount significance in the comprehension of quantum information scrambling and quantum chaos phenomena occurring therein. Within this context, the interplay between the entanglement of subsystem with its environment and the accompanying processes of information scrambling and dissipation is a central focus. My current attention is temporarily directed towards the exploration of the solvability of the entanglement in both the thermalization process and its breakdown.

Driven systems are generally powerful tools to construct novel dynamics far from equilibrium. In the quantum context, different driving (periodic, quasiperiodic, random, etc.) entails different long-time fate and the dynamical evolution. However, many types of structured drives still are untouched playgrounds. I'm interested in exploring a geometric framework where the structured drive is generated by the classical trajectory on some Riemannian manifold. With the help from topology and symmetry of the underlying manifold, we are able to understand novel quantum dynamical properties.