Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evaluation of ranks of real space and particle entanglement spectra for
  large systems   We devise a way to calculate the dimensions of symmetry sectors appearing in
the Particle Entanglement Spectrum (PES) and Real Space Entanglement Spectrum
(RSES) of multi-particle systems from their real space wave functions. We first
note that these ranks in the entanglement spectra equal the dimensions of
spaces of wave functions with a number of particles fixed. This also yields
equality of the multiplicities in the PES and the RSES. Our technique allows
numerical calculations for much larger systems than were previously feasible.
For somewhat smaller systems, we can find approximate entanglement energies as
well as multiplicities. We illustrate the method with results on the RSES and
PES multiplicities for integer quantum Hall states, Laughlin and Jain composite
fermion states and for the Moore-Read state at filling $\nu=5/2$, for system
sizes up to 70 particles.

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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex