Multipartite Entanglement in Topological Quantum Phases
Authors: Pezzè L., Gabbrielli M., Lepori L., Smerzi A.
Autors Affiliation: [Pezze, Luca; Gabbrielli, Marco; Smerzi, Augusto] QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy and INO CNR, Largo Enrico Fermi 2, I-50125 Florence, Italy and LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy.
[Gabbrielli, Marco] Univ Florence, Dipartimento Fis & Astron, Via Sansone 1, I-50019 Sesto Fiorentino, Italy.
[Lepori, Luca] Univ Aquila, Dipartimento Sci Fis & Chim, Via Vetoio 42, I-67010 Coppito, Italy and INFN, Lab Nazl Gran Sasso, Via G Acitelli 22, I-67100 Assergi, AQ, Italy.
Abstract: We witness multipartite entanglement in the ground state of the Kitaev chain-a benchmark model of a one dimensional topological superconductor-also with variable-range pairing, using the quantum Fisher information. Phases having a finite winding number, for both short-and long-range pairing, are characterized by a power-law diverging finite-size scaling of multipartite entanglement. Moreover, the occurring quantum phase transitions are sharply marked by the divergence of the derivative of the quantum Fisher information, even in the absence of a closing energy gap.
Journal/Review: PHYSICAL REVIEW LETTERS
Volume: 119 (25) Pages from: 250401 to: 250401
KeyWords: systems; entropy; DOI: 10.1103/PhysRevLett.119.250401