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Entanglement in fermionic chains and bispectrality
Journal article   Open access  Peer reviewed

Entanglement in fermionic chains and bispectrality

Nicolas Crampe, Rafael I. Nepomechie and Luc Vinet
Reviews in mathematical physics, Vol.33(7), p.2140001
2021-08-01
DOI: https://doi.org/10.1142/S0129055X21400018

Abstract

Physical Sciences Physics Physics, Mathematical Science & Technology
Entanglement in finite and semi-infinite free Fermionic chains is studied. A parallel is drawn with the analysis of time and band limiting in signal processing. It is shown that a tridiagonal matrix commuting with the entanglement Hamiltonian can be found using the algebraic Heun operator construct in instances when there is an underlying bispectral problem. Cases corresponding to the Lie algebras su(2) and su(1, 1) as well as to the q-deformed algebra so(q) (3) at q a root of unity are presented.
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https://doi.org/10.1142/S0129055X21400018View
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5 Physics
5.30 Superconductor Science
5.30.481 Spin Gap
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Physics, Mathematical
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Physics

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