General relation between entanglement and fluctuations in one dimension

H. Francis Song; Stephan Rachel; Karyn Le Hur

doi:10.1103/PhysRevB.82.012405

General relation between entanglement and fluctuations in one dimension

H. Francis Song, Stephan Rachel, Karyn Le Hur

Yale University

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

Abstract

In one dimension very general results from conformal field theory and exact calculations for quantum spin chains have established universal scaling properties of the entanglement entropy between two parts of a critical system. Using both analytical and numerical methods, we show that if particle number or spin is conserved, fluctuations in a subsystem obey identical scaling as a function of subsystem size in one dimension. We investigate the effects of boundaries and subleading corrections for critical spin and bosonic chains.

Original language	English
Article number	012405
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	82
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevB.82.012405
Publication status	Published - 14 Jul 2010
Externally published	Yes

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10.1103/PhysRevB.82.012405

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title = "General relation between entanglement and fluctuations in one dimension",

abstract = "In one dimension very general results from conformal field theory and exact calculations for quantum spin chains have established universal scaling properties of the entanglement entropy between two parts of a critical system. Using both analytical and numerical methods, we show that if particle number or spin is conserved, fluctuations in a subsystem obey identical scaling as a function of subsystem size in one dimension. We investigate the effects of boundaries and subleading corrections for critical spin and bosonic chains.",

author = "Song, \{H. Francis\} and Stephan Rachel and \{Le Hur\}, Karyn",

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AU - Le Hur, Karyn

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AB - In one dimension very general results from conformal field theory and exact calculations for quantum spin chains have established universal scaling properties of the entanglement entropy between two parts of a critical system. Using both analytical and numerical methods, we show that if particle number or spin is conserved, fluctuations in a subsystem obey identical scaling as a function of subsystem size in one dimension. We investigate the effects of boundaries and subleading corrections for critical spin and bosonic chains.

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DO - 10.1103/PhysRevB.82.012405

M3 - Article

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JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 1

M1 - 012405

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General relation between entanglement and fluctuations in one dimension

Abstract

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