Entanglement, fractional magnetization, and long-range interactions

Andrea Cadarso; Mikel Sanz; Michael M. Wolf; J. Ignacio Cirac; David Pérez-García

doi:10.1103/PhysRevB.87.035114

Entanglement, fractional magnetization, and long-range interactions

Andrea Cadarso, Mikel Sanz, Michael M. Wolf, J. Ignacio Cirac, David Pérez-García

Chair of Mathematical physics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Based on the theory of matrix product states, we give precise statements and complete analytical proofs of the following claim: A large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the state of a quantum spin chain.

Original language	English
Article number	035114
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	87
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevB.87.035114
State	Published - 11 Jan 2013

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10.1103/PhysRevB.87.035114

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title = "Entanglement, fractional magnetization, and long-range interactions",

abstract = "Based on the theory of matrix product states, we give precise statements and complete analytical proofs of the following claim: A large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the state of a quantum spin chain.",

author = "Andrea Cadarso and Mikel Sanz and Wolf, {Michael M.} and Cirac, {J. Ignacio} and David P{\'e}rez-Garc{\'i}a",

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doi = "10.1103/PhysRevB.87.035114",

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AU - Cadarso, Andrea

AU - Sanz, Mikel

AU - Wolf, Michael M.

AU - Cirac, J. Ignacio

AU - Pérez-García, David

PY - 2013/1/11

Y1 - 2013/1/11

N2 - Based on the theory of matrix product states, we give precise statements and complete analytical proofs of the following claim: A large fractionalization in the magnetization or the need of long-range interactions imply large entanglement in the state of a quantum spin chain.

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U2 - 10.1103/PhysRevB.87.035114

DO - 10.1103/PhysRevB.87.035114

M3 - Article

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JO - Physical Review B - Condensed Matter and Materials Physics

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Entanglement, fractional magnetization, and long-range interactions

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