Rodriguez, Ivan D. and Simon, Steven H. and Slingerland, Joost
(2012)
Evaluation of ranks of real space and particle entanglement spectra for large systems.
Physical Review Letters, 108.
p. 256806.
ISSN 1079-7114
Abstract
We devise a way to calculate the dimensions of symmetry sectors appearing in the Particle Entan-
glement Spectrum (PES) and Real Space Entanglement Spectrum (RSES) of multi-particle systems
from their real space wave functions. We first note that these ranks in the entanglement spectra
equal the dimensions of spaces of wave functions with a number of particles fixed. This also yields
equality of the multiplicities in the PES and the RSES. Our technique allows numerical calculations
for much larger systems than were previously feasible. For somewhat smaller systems, we can find
approximate entanglement energies as well as multiplicities. We illustrate the method with results
on the RSES and PES multiplicities for integer quantum Hall states, Laughlin and Jain composite
fermion states and for the Moore-Read state at filling v = 5
2 , for system sizes up to 70 particles.
| Item Type: |
Article
|
| Keywords: |
Evaluation of ranks; real space; particle entanglement spectra; large systems; |
| Academic Unit: |
Faculty of Science and Engineering > Mathematical Physics |
| Item ID: |
4793 |
| Depositing User: |
Dr. Joost Slingerland
|
| Date Deposited: |
05 Mar 2014 15:40 |
| Journal or Publication Title: |
Physical Review Letters |
| Publisher: |
American Physical Society |
| Refereed: |
Yes |
| URI: |
|
| Use Licence: |
This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available
here |
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