PMID: 17358917Mar 16, 2007Paper

Entanglement entropy in fermionic Laughlin states

Physical Review Letters
Masudul HaqueKareljan Schoutens

Abstract

We present analytic and numerical calculations on the bipartite entanglement entropy in fractional quantum Hall states of the fermionic Laughlin sequence. The partitioning of the system is done both by dividing Landau-level orbitals and by grouping the fermions themselves. For the case of orbital partitioning, our results can be related to spatial partitioning, enabling us to extract a topological quantity (the "total quantum dimension") characterizing the Laughlin states. For particle partitioning we prove a very close upper bound for the entanglement entropy of a subset of the particles with the rest, and provide an interpretation in terms of exclusion statistics.

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Citations

Nov 29, 2013·Nature Communications·Anne E B NielsenJ Ignacio Cirac
Feb 21, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Y F ZhangD Y Xing
Jan 3, 2015·Physical Review Letters·Rex LundgrenRonny Thomale
Sep 7, 2019·Physical Review Letters·W Zhu, D N Sheng
Jun 4, 2008·Physical Review Letters·Letian DingStephan Haas
Sep 28, 2010·Physical Review Letters·Hong Yao, Xiao-Liang Qi
Aug 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C M HerdmanA Del Maestro
Jan 25, 2013·Physical Review Letters·Ian Mondragon-ShemTaylor L Hughes
Jul 30, 2011·Physical Review Letters·Pasquale CalabreseEttore Vicari
Apr 7, 2010·Physical Review Letters·Steven T FlammiaXiao-Gang Wen
Mar 25, 2014·Physical Review Letters·W ZhuD N Sheng
May 21, 2010·Physical Review Letters·Andreas M LäuchliMasudul Haque
May 21, 2010·Physical Review Letters·R ThomaleB Andrei Bernevig
Mar 16, 2007·Physical Review Letters·S IblisdirR Orús
Apr 8, 2011·Physical Review Letters·A SterdyniakB A Bernevig
Sep 26, 2012·Physical Review Letters·Iván D RodríguezJ K Slingerland
Sep 26, 2012·Physical Review Letters·Anne E B NielsenGermán Sierra
Dec 24, 2018·Journal of Chemical Theory and Computation·A Martín Pendás, E Francisco

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