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arxiv: 1209.3898 · v2 · pith:7IV2OJYLnew · submitted 2012-09-18 · 🪐 quant-ph · cond-mat.str-el· math-ph· math.MP

Entanglement, fractional magnetization and long-range interactions

classification 🪐 quant-ph cond-mat.str-elmath-phmath.MP
keywords entanglementinteractionslargelong-rangemagnetizationanalyticalchainclaim
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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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