Entanglement Action for the Real-Space Entanglement Spectra of Composite Fermion Wave Functions

Abstract

We argue and numerically substantiate that the real-space entanglement spectrum (RSES) of composite fermion quantum Hall states is given by the spectrum of a local boundary perturbation of a $(1+1)$d conformal field theory (CFT), which describes an effective edge dynamics along the real-space cut. The cut-and-glue approach suggests that the low-lying RSES is equivalent to the low-lying modes of some effective edge action. The general structure of this action is deduced by mapping to a boundary critical problem, generalizing work of Dubail, Read, and Rezayi [PRB 85, 11531 (2012)]. Using trial wave functions we numerically test our model of the RSES for the $\nu =2/3$ bosonic composite fermion state.

arXiv comment24 pages, 6 figures

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• Conformal field theory approach to parton fractional quantum Hall trial wave functions
• Real-space entanglement spectra of projected fractional quantum Hall states using Monte Carlo methods
• Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states