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Bulk entanglement spectrum in gapped spin ladders

Cornell Affiliated Author(s)

Author

R.A. Santos
C.-M. Jian
R. Lundgren

Abstract

We study the bulk entanglement of a series of gapped ground states of spin ladders, representative of the Haldane phase. These ground states of spin S/2 ladders generalize the valence bond solid ground state. In the case of spin 1/2 ladders, we study a generalization of the Affleck-Kennedy-Lieb-Tasaki and Nersesyan-Tsvelik states and fully characterize the bulk entanglement Hamiltonian. In the case of general spin S, we argue that in the Haldane phase the bulk entanglement spectrum of a half-integer ladder is either gapless or possess a degenerate ground state. For ladders with integer valued spin particles, the generic bulk entanglement spectrum should have an entanglement gap. Finally, we give an example of a series of trivial states of higher spin S>1 in which the bulk entanglement Hamiltonian is critical, signaling that the relation between topological states and a critical bulk entanglement Hamiltonian is not unique to topological systems. © 2016 American Physical Society.

Date Published

Journal

Physical Review B

Volume

93

Issue

24

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84974777118&doi=10.1103%2fPhysRevB.93.245101&partnerID=40&md5=2674140e17ef5e8e25591716c0794bd4

DOI

10.1103/PhysRevB.93.245101

Group (Lab)

Chao-Ming Jian Group

Funding Source

2012115499

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