Extracting Excitations from Model State Entanglement

A. Sterdyniak, N. Regnault, and B. A. Bernevig
Phys. Rev. Lett. 106, 100405 – Published 8 March 2011

Abstract

We extend the concept of an entanglement spectrum from the geometrical to the particle bipartite partition. We apply this to several fractional quantum Hall wave functions on both sphere and torus geometries to show that this new type of entanglement spectra completely reveals the physics of bulk quasihole excitations. While this is easily understood when a local Hamiltonian for the model state exists, we show that the quasihole wave functions are encoded within the model state even when such a Hamiltonian is not known. As a nontrivial example, we look at Jain’s composite fermion states and obtain their quasiholes directly from the model state wave function. We reach similar conclusions for wave functions described by Jack polynomials.

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  • Received 14 July 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.100405

© 2011 American Physical Society

Authors & Affiliations

A. Sterdyniak1, N. Regnault1, and B. A. Bernevig2

  • 1Laboratoire Pierre Aigrain, ENS and CNRS, 24 rue Lhomond, 75005 Paris, France
  • 2Department of Physics, Princeton University, Princeton, New Jersey 08544, USA

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Issue

Vol. 106, Iss. 10 — 11 March 2011

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