Three- and four-body interactions from two-body interactions in spin models: A route to Abelian and non-Abelian fractional Chern insulators
Physical Review B - Condensed Matter and Materials Physics 88:18 (2013)
Abstract:
We describe a method for engineering local kbody interactions (k=1,2,3) from two-body couplings in spin-12 systems. When implemented in certain systems with a flat single-particle band with a unit Chern number, the resulting many-body ground states are fractional Chern insulators which exhibit Abelian and non-Abelian anyon excitations. The most complex of these, with k=3, has Fibonacci anyon excitations; our system is thus capable of universal topological quantum computation. We then demonstrate that an appropriately tuned circuit of qubits could faithfully replicate this model up to small corrections, and further, we describe the process by which one might create and manipulate non-Abelian vortices in these circuits, allowing for direct control of the system's quantum information content. © 2013 American Physical Society.3- and 4-body Interactions from 2-body interactions in Spin Models: A Route to Abelian and Non-Abelian Fractional Chern Insulators
(2013)
The Oxford Solid State Basics
Oxford University Press, 2013
Abstract:
This is a first undergraduate textbook in Solid State Physics or Condensed Matter Physics. While most textbooks on the subject are extremely dry, this book is written to be much more exciting, inspiring, and entertaining.Entanglement Spectrum of Composite Fermion States in Real Space
(2013)
Tunnelling current through fractional quantum Hall interferometers
(2013)