Entanglement Spectrum of Composite Fermion States in Real Space

Rodriguez, Ivan D. and Davenport, Simon C. and Simon, Steven H. and Slingerland, J.K. (2013) Entanglement Spectrum of Composite Fermion States in Real Space. Physical Review B, 88. p. 155307. ISSN 1098-0121

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We study the entanglement spectra of many particle systems in states which are closely related to products of Slater determinants or products of permanents, or combinations of the two. Such states notably include the Laughlin and Jain composite fermion states which describe most of the observed conductance plateaus of the fractional quantum Hall e�ect. We identify a set of 'EntanglementWave Functions' (EWF), for subsets of the particles, which completely describe the entanglement spectra of such product wave functions, both in real space and in particle space. A subset of the EWF for the Laughlin and Jain states can be recognized as Composite Fermion states. These states provide an exact description of the low angular momentum sectors of the real space entanglement spectrum (RSES) of these trial wave functions and a physical explanation of the branches of excitations observed in the RSES of the Jain states.

Item Type: Article
Keywords: Entanglement Spectrum; Composite Fermion States; Real Space;
Academic Unit: Faculty of Science and Engineering > Mathematical Physics
Item ID: 4792
Depositing User: Dr. Joost Slingerland
Date Deposited: 05 Mar 2014 15:32
Journal or Publication Title: Physical Review B
Publisher: American Physical Society
Refereed: Yes

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