Free-fermion entanglement and spheroidal functions

Autor(en)

Viktor Eisler, Ingo Peschel

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Freie Universität Berlin (FU)

Journal

Journal of Statistical Mechanics: Theory and Experiment

Band

2013

Anzahl der Seiten

17

ISSN

1742-5468

DOI

https://doi.org/10.1088/1742-5468/2013/04/P04028

Publikationsdatum

04-2013

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/a83bbc0f-8458-48e6-8d42-3fb2875fc120