N-level ghost spins and entanglement

Jatkar, Dileep P. (Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad 211019, India) (Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai 400085, India) ; Kolekar, Kedar S. (Chennai Mathematical Institute, SIPCOT IT Park, Siruseri 603103, India) ; Narayan, K. (Chennai Mathematical Institute, SIPCOT IT Park, Siruseri 603103, India)

07 May 2019

Abstract: Ghost spins, 2-level spinlike variables with indefinite norm have been studied in previous work. Here we explore various N-level generalizations of ghost spins. First we discuss a flavored generalization comprising N copies of the ghost-spin system, as well as certain ghost-spin chains which in the continuum limit lead to 2-dim bc-ghost conformal field theorys with O(N) flavor symmetry. Then we explore a symplectic generalization that involves antisymmetric inner products, and finally a ghost-spin system exhibiting N irreducible levels. We also study entanglement properties. In all these cases, we show the existence of positive norm “correlated ghost spin” states in two copies of ghost-spin ensembles obtained by entangling identical ghost spins from each copy: these exhibit positive entanglement entropy.

Published in: Physical Review D 99 (2019)
Published by: APS
DOI: 10.1103/PhysRevD.99.106003
arXiv: 1812.07925
License: CC-BY-4.0

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