#  Research 

 



### **Recent Highlights:**

***A.*** **Rydberg Quantum Spin Liquids and Beyond:**

Preparing and Probing a Z2 Toric Code Topological Spin Liquid in Rydberg Atom Arrays

Theoretical Prediction: [PRX](https://journals.aps.org/prx/abstract/10.1103/PhysRevX.11.031005).; [arXiv:2011.12310](https://arxiv.org/abs/2011.12310) .

##### Popular article in [Physics](https://physics.aps.org/articles/pdf/10.1103/Physics.14.s82). and [PHYSICS WORLD](https://physicsworld.com/a/long-range-quantum-entanglement-measured-at-last/)



 

   ![e82_1](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/2025-01/e82_1.png?itok=GUgmZ5iF) 

 



 

 

   ![E877_Toric-Code_Social](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/2025-01/E877_Toric-Code_Social-4-635x635.jpg?itok=lm0AysWv) 

 



 

 

 

 

 

 

 

##### Experimental Paper: [Science](https://www.science.org/doi/10.1126/science.abi8794) [arXiv:2104.04119](https://arxiv.org/abs/2104.04119)

#####  March Meeting Tutorial. Pedagogical LECTURE:

##### [Non-Local Order parameters for topological spin liquids and beyond.](/file_url/164)

***B. Unifed Approach to 2D Magnetism from Quantum Electrodynamics:***

Xue-Yang Song, Y.-C. He, A. Vishwanath, and C. Wang

1\. From spinon band topology to the symmetry quantum numbers of monopoles in Dirac sp

   ![Monopole Quantum Numbers](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/fig2.png?itok=ib4TpSdH) 

 

in liquids:

 [Phys. Rev. X 10, 011033 (2020)](https://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.011033)

2\. Unifying description of competing orders in two-dimensional quantum magnets

[Nature Communications (2019) .](https://www.nature.com/articles/s41467-019-11727-3)

Reviewed in: "*Quantum electrodynamics in a piece of rock*" by John MacGreevy (UCSD) in[ Nature Reviews Physics](https://www.nature.com/articles/s42254-019-0106-7) (2019) "Gauge theories, such as quantum electrodynamics, are a cornerstone of high-energy particle physics. They may also describe the physics of certain unassuming materials. Recent theoretical work moves this idea closer to reality."

***C. : Exactly Soluble Floquet Models and Sine-Square Deformed CFTs***

   ![Heating Phase - Hot Spots](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/fig.png?itok=rNZQJuCZ) 

 

Ruihua Fan, Y. Gu, A. Vishwanath, and Xueda Wen

Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory: [\[pdf\]](https://arxiv.org/pdf/1908.05289.pdf)

---



 

##  Other Research: 

 



   ![ferm-vortex.png](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/ferm-vortex.png?itok=Pxt2xojq) 

 



 

 [### Fermion-Vortex Duality & Interacting Topological Phase

 ](/dirac-duality) 

 

   ![skyrmion.png](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/skyrmion.png?itok=GDsQBYHf) 

 



 

 [### Skyrmion Lattices and MnSi

 ](/mnsi) 

 

   ![weyl.png](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/weyl.png?itok=dmV4LYmk) 

 



 

 [### Weyl Fermions

 ](/weyl-fermions) 

 

   ![constraints.png](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/constraints.png?itok=8Ya-Te-O) 

 



 

 [### Filling Constraints on Quantum Phases

 ](/filling-constraints) 

 

   ![qf.png](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/qf.png?itok=5aqPnW1t) 

 



 

 [### Quantum Phases Far from Equilibrium

 ](/quantum-phases-far-equilibrium) 

 

   ![entanglement.png](/sites/g/files/omnuum6831/files/styles/hwp_1_1__360x360_scale/public/avishwanath/files/entanglement.png?itok=4ww0MynF) 

 



 

 [### Frustrated Magnetism

 ](/misc)