Free-fermion entanglement and spheroidal functions

DOI10.1088/1742-5468/2013/04/P04028zbMATH Open1456.82123arXiv1302.2239OpenAlexW3101980452MaRDI QIDQ3301591

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Publication date: 11 August 2020

Published in: (Search for Journal in Brave)

Abstract: We consider the entanglement properties of free fermions in one dimension and review an approach which relates the problem to the solution of a certain differential equation. The single-particle eigenfunctions of the entanglement Hamiltonian are then seen to be spheroidal functions or generalizations of them. The analytical results for the eigenvalue spectrum agree with those obtained by other methods. In the continuum case, there are close connections to random matrix theory.

Full work available at URL: https://arxiv.org/abs/1302.2239

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