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Topological Quantum Computing Quantum Simulation

Foliated Field Theory and String-Membrane-Net Condensation Picture of Fracton Order

arXiv
Authors: Kevin Slagle, David Aasen, Dominic Williamson

Year

2018

Paper ID

22919

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

Abstract

Foliated fracton order is a qualitatively new kind of phase of matter. It is similar to topological order, but with the fundamental difference that a layered structure, referred to as a foliation, plays an essential role and determines the mobility restrictions of the topological excitations. In this work, we introduce a new kind of field theory to describe these phases: a foliated field theory. We also introduce a new lattice model and string-membrane-net condensation picture of these phases, which is analogous to the string-net condensation picture of topological order.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • Foliated fracton order is a qualitatively new kind of phase of matter.

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