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arXiv · 1110.6276

Entanglement entropies in free fermion gases for arbitrary dimension

Pasquale Calabrese·Mihail Mintchev·Ettore Vicari
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Abstract

We study the entanglement entropy of connected bipartitions in free fermion gases of N particles in arbitrary dimension d. We show that the von Neumann and Renyi entanglement entropies grow asymptotically as N^(1-1/d) ln N, with a prefactor that is analytically computed using the Widom conjecture both for periodic and open boundary conditions. The logarithmic correction to the power-law behavior is related to the area-law violation in lattice free fermions. These asymptotic large-N behaviors are checked against exact numerical calculations for N-particle systems.

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Pasquale Calabrese, Mihail Mintchev, Ettore Vicari. 2011-10-28. Entanglement entropies in free fermion gases for arbitrary dimension. https://doi.org/10.1209/0295-5075%2F97%2F20009

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