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Fermion Entanglement.pdf

2206.06509.pdf
Preview of Fermion Entanglement
🔗 Source: arxiv.org
📊 Size: 4.18 MB
📄 Pages: 27 pages
⬇️ Downloads: 134

Summary

Researchers introduce an inhomogeneous model of free fermions on a (D-1)-dimensional lattice with D(D-1)/2 continuous parameters controlling hopping strength between adjacent sites, solving it exactly with eigenfunctions given by multidimensional generalizations of Krawtchouk polynomials. They construct a Heun operator commuting with the chopped correlation matrix and compute entanglement entropy numerically for D = 2, 3, 4, finding oscillations in the sub-leading contribution for D = 2 and logarithmic violations of the area law for D > 2 with nontrivial parameter dependence.

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Researchers introduce an inhomogeneous model of free fermions on a (D-1)-dimensional lattice with D(D-1)/2 continuous parameters controlling hopping strength...

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  • File Format: PDF
  • File Size: 4.18 MB
  • Pages: 27
  • Language: EN
  • Total Downloads: 134
  • Last Updated: 1 month ago

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