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

35 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)

Access to Document

10.1016/j.aop.2006.08.002

Cite this

@article{0246b4c4be5245fdb6a5963725bae1e1,

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. ",

year = "2007",

month = jun,

doi = "10.1016/j.aop.2006.08.002",

language = "English (US)",

volume = "322",

pages = "1466--1476",

journal = "Annals of Physics",

issn = "0003-4916",

publisher = "Academic Press Inc.",

number = "6",

}

TY - JOUR

T1 - Replacing energy by von Neumann entropy in quantum phase transitions

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

UR - http://www.scopus.com/inward/record.url?scp=34247856058&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34247856058&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2006.08.002

DO - 10.1016/j.aop.2006.08.002

M3 - Article

AN - SCOPUS:34247856058

VL - 322

SP - 1466

EP - 1476

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

IS - 6

ER -

Replacing energy by von Neumann entropy in quantum phase transitions

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this