# Quantum States of Matter with Fractal Symmetries: Theory and realization with Rydberg atoms

### APA

Xu, C. (2022). Quantum States of Matter with Fractal Symmetries: Theory and realization with Rydberg atoms . Perimeter Institute. https://pirsa.org/22030025

### MLA

Xu, Cenke. Quantum States of Matter with Fractal Symmetries: Theory and realization with Rydberg atoms . Perimeter Institute, Mar. 21, 2022, https://pirsa.org/22030025

### BibTex

@misc{ pirsa_PIRSA:22030025, doi = {10.48660/22030025}, url = {https://pirsa.org/22030025}, author = {Xu, Cenke}, keywords = {Condensed Matter}, language = {en}, title = {Quantum States of Matter with Fractal Symmetries: Theory and realization with Rydberg atoms }, publisher = {Perimeter Institute}, year = {2022}, month = {mar}, note = {PIRSA:22030025 see, \url{https://pirsa.org}} }

**Collection**

**Subject**

In recent years, generalizations of the notion of symmetry have significantly broadened our view on states of matter. We will discuss some recent progress of understanding and realizing the "fractal symmetry", where the symmetric charge i.e. the generator of the symmetry is defined on a fractal subset of the system with a noninteger or more generally irrational Hausdorff dimension. We will introduce a series of models with exotic fractal symmetries, which can in general be deduced from a "Pascal Triangle" (also called Yang Hui Triangle in ancient China) symmetry. We will discuss their various features including quantum phase transitions. We will also discuss the potential realization of these phases and phase transitions in experimental systems, such as the highly tunable platform of Rydberg atoms.

Zoom Link: https://pitp.zoom.us/meeting/register/tJcqc-ihqzMvHdW-YBm7mYd_XP9Amhypv5vO