Work

Bipartite entanglement entropy in fractional quantum Hall states

Year: 2007

Type: article

Abstract: We present a detailed analysis of bipartite entanglement entropies in fractional quantum Hall (FQH) states, considering both Abelian (Laughlin) and non-Abelian (Moore-Read) states. We derive upper bounds for the entanglement between two subsets of the particles making up the state. We also consider the entanglement between spatial regions supporting a FQH state. Using the latter, we show how the so-called topological entanglement entropy $\ensuremath{\gamma}$ of a FQH state can be extracted from wave functions for a limited number of particles.

Source: Physical Review B

DOI: 10.1103/physrevb.76.125310

Authors: O. S. Zozulya, M. Haque, K. Schoutens, E. H. Rezayi

Institutions: Institute for Theoretical Physics Amsterdam, University of Amsterdam, Max Planck Society, Max Planck Institute for the Physics of Complex Systems, California State University Los Angeles

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, Stichting voor Fundamenteel Onderzoek der Materie

OpenAlex ID: W1965083296

FWCI: 3.882

Cites: 40

Cited by: 125

Related to: 10