Ghost-spin chains, entanglement, and bc-ghost CFTs

Dileep P. Jatkar and K. Narayan
Phys. Rev. D 96, 106015 – Published 22 November 2017

Abstract

We study one-dimensional chains of ghost-spins with nearest neighbor interactions amongst them, developing further the study of ghost-spins in previous work, defined as 2-state spin variables with indefinite norm. First we study finite ghost-spin chains with Ising-like nearest neighbor interactions: this helps organize and clarify the study of entanglement earlier, and we develop this further. Then we study a family of infinite ghost-spin chains with a different Hamiltonian containing nearest neighbor hopping-type interactions. By defining fermionic ghost-spin variables through a Jordan-Wigner transformation, we argue that these ghost-spin chains lead in the continuum limit to the bc-ghost conformal field theories.

  • Received 28 July 2017

DOI:https://doi.org/10.1103/PhysRevD.96.106015

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGravitation, Cosmology & AstrophysicsQuantum Information, Science & Technology

Authors & Affiliations

Dileep P. Jatkar1,2 and K. Narayan3

  • 1Harish-Chandra Research Institute Chhatnag Road, Jhusi, Allahabad 211019, India
  • 2Homi Bhabha National Institute Training School Complex, Anushakti Nagar, Mumbai 400085, India
  • 3Chennai Mathematical Institute, SIPCOT IT Park, Siruseri 603103, India

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Issue

Vol. 96, Iss. 10 — 15 November 2017

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