# Yi-Zhuang You's Research Group

## Moire Superlattice

When two periodic lattices lie on top of each other with a relative twist or a mismatched lattice constant, they can interfere to create a Moire pattern. As shown in the following figure, a Moire pattern has a spatial structure on a larger scale than either of the lattice along. The (quasi)periodic pattern forms a larger lattice, known as the Moire superlattice. Experimentally, the Moire superlattice can be realized by stacking 2D materials together, including graphene, hexagonal boron nitride (hBN), molybdenum disulfide and many others. Exciting new physics can emerge on Moire superlattices, including Mott insulators, unconventional superconductors and possibly new topological phases.

## Quantum Information Dynamics

Quantum information dynamics is an emerging field that ties several topics together, including non-equilibrium and driven quantum systems, many-body localization and thermalization, quantum chaos and black holes, tensor network holography. Traditionally, one may think that physics is about the dynamics of matter and spacetime. Extending our scope to the dynamics of quantum information is a new trend, which in turn deepen our understanding of the dynamics of matter and spacetime.

## Entanglement Feature Learning

The holographic duality (AdS/CFT) was originally proposed as the correspondence between a \(d\)-dimensional quantum field theory and a \((d+1)\)-dimensional quantum gravity theory. The information about the space-time geometry in the higher-dimensional holographic bulk is encoded in the quantum many-body dynamics on the lower-dimensional holographic boundary, hence the name “holography”. The holographic duality reveals a deep connection between quantum entanglement and space-time geometry: “Entanglement is the fabric of space-time,” said Brain Swingle in Quantum Magazine.