Replacing energy by von Neumann entropy in quantum phase transitions

Angela Kopp; Xun Jia; Sudip Chakravarty

doi:10.1016/j.aop.2006.08.002

Replacing energy by von Neumann entropy in quantum phase transitions

Angela Kopp, Xun Jia, Sudip Chakravarty

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

34 Scopus citations

Abstract

We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition.

Original language	English (US)
Pages (from-to)	1466-1476
Number of pages	11
Journal	Annals of Physics
Volume	322
Issue number	6
DOIs	https://doi.org/10.1016/j.aop.2006.08.002
State	Published - Jun 2007

Keywords

Anderson localization
Dissipative quantum system
Entanglement
Nonanalyticity of free energy
Quantum phase transition and criticality
Von Neumann entropy

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/j.aop.2006.08.002

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title = "Replacing energy by von Neumann entropy in quantum phase transitions",

abstract = "We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition.",

keywords = "Anderson localization, Dissipative quantum system, Entanglement, Nonanalyticity of free energy, Quantum phase transition and criticality, Von Neumann entropy",

author = "Angela Kopp and Xun Jia and Sudip Chakravarty",

note = "Funding Information: We thank J. Rudnick for helpful discussions. This work was supported by the NSF under Grant DMR-0411931. ",

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AU - Kopp, Angela

AU - Jia, Xun

AU - Chakravarty, Sudip

N1 - Funding Information: We thank J. Rudnick for helpful discussions. This work was supported by the NSF under Grant DMR-0411931.

PY - 2007/6

Y1 - 2007/6

N2 - We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition.

AB - We propose that quantum phase transitions are generally accompanied by non-analyticities of the von Neumann (entanglement) entropy. In particular, the entropy is non-analytic at the Anderson transition, where it exhibits unusual fractal scaling. We also examine two dissipative quantum systems of considerable interest to the study of decoherence and find that non-analyticities occur if and only if the system undergoes a quantum phase transition.

KW - Anderson localization

KW - Dissipative quantum system

KW - Entanglement

KW - Nonanalyticity of free energy

KW - Quantum phase transition and criticality

KW - Von Neumann entropy

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JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

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ER -

Replacing energy by von Neumann entropy in quantum phase transitions

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Keywords

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