Journal
PHYSICAL REVIEW LETTERS
Volume 112, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.112.096803
Keywords
-
Categories
Funding
- U.S. Department of Energy, Office of Basic Energy Sciences [DE-FG02-06ER46305]
- NSF [DMR-0906816]
- Princeton MRSEC [DMR-0819860]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [0906816] Funding Source: National Science Foundation
Ask authors/readers for more resources
The topological order is encoded in the pattern of long-range quantum entanglements, which cannot be measured by any local observable. Here we perform an exact diagonalization study to establish the non-Abelian topological order for topological band models through entanglement entropy measurement. We focus on the quasiparticle statistics of the non-Abelian Moore-Read and Read-Rezayi states on the lattice models with bosonic particles. We identify multiple independent minimal entangled states (MESs) in the ground state manifold on a torus. The extracted modular S matrix from MESs faithfully demonstrates the Ising anyon or Fibonacci quasiparticle statistics, including the quasiparticle quantum dimensions and the fusion rules for such systems. These findings unambiguously demonstrate the topological nature of the quantum states for these flatband models without using the knowledge of model wave functions.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available