Research Highlights

Abelian and non-Abelian Anyons in Synthetic Quantum Matter:

 

  • Efficiently preparing GHZ, topological and fracton states by measuring cold atoms arXiv:2112.03061
  • Long-range entanglement from measuring symmetry-protected topological phases arXiv:2112.01519
  • The Shortest Route to Non-Abelian Topological Order on a Quantum Processor. arXiv:2209.03964
  • A hierarchy of topological order from finite-depth unitaries, measurement and feedforward. arXiv:2209.06202
  • [EXPT] Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer. arXiv:2302.01917

 

Non-technical exposiitons of our work in Quanta Magazine and Nature

 

Magic Angle Graphene - Superconductivity and Correlations:

Pedagogical Lecture Notes
Popular article in Quanta Magazine; & Moire' Fractional Chern insulators 
1. Charged Skyrmions & Topological Origin of Superconductivity in Magic Angle Graphene [pdf]
2. Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling [pdf] 
3. Magic Angle Hierarchy in Twisted Graphene Multilayers [pdf]
Trilayer
   

 

 
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Group Description

This wordle  gives you a picture of some of our current interests which include:
 
(i)  Theory of Moire materials including magic angle graphene.
 
(ii) Unconventional quantum critical points, dualities & topological phases with strong interactions,
 
(iii)  Topological Band Theory including Weyl semimetals.
 
(iv) Quantum coherence in non-equilibrium many body systems.

We are a Theoretical Physics group specializing in the study of Condensed Matter Physics. We seek to understand phenomena such as superconductivity and magnetism starting from quantum mechanics and other basic  physical principles. Historically, this has led both to a deeper understanding of quantum systems of very many particles as well as new devices and applications like the transistor, magnetic memories and magnetic resonance imaging. 

 
We explore both the fundamental theory of such states and their experimental signatures. We use a variety of theoretical tools, from quantum field theory or exactly soluble models, but our research is primarily guided by interesting physical problems and ideas, rather than techniques. We are happy to pick up new tools if they suite the problem at hand - for example we recently exploited concepts from quantum information theory to sharpen our understanding of topological phases.  We also collaborate closely with experimental groups that  study interesting states of matter both in electronic solids and ultracold atomic systems.