Global entanglement and quantum criticality in spin chains

Tzu Chieh Wei; Dyutiman Das; Swagatam Mukhopadyay; Smitha Vishveshwara; Paul M. Goldbart

doi:10.1103/PhysRevA.71.060305

Global entanglement and quantum criticality in spin chains

Tzu Chieh Wei
, Dyutiman Das
, Swagatam Mukhopadyay
, Smitha Vishveshwara
, Paul M. Goldbart

University of Illinois at Urbana-Champaign

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

136 Scopus citations

Abstract

The entanglement of quantum XY spin chains of arbitrary length is investigated via a recently developed global measure suitable for generic quantum many-body systems. This entanglement is determined over the phase diagram and found to exhibit rich structure. In particular, the field derivative of the entanglement density becomes singular along the critical line. The form of this singularity is dictated by the universality class controlling the quantum phase transition.

Original language	English
Article number	060305
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	71
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevA.71.060305
State	Published - Jun 2005

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title = "Global entanglement and quantum criticality in spin chains",

abstract = "The entanglement of quantum XY spin chains of arbitrary length is investigated via a recently developed global measure suitable for generic quantum many-body systems. This entanglement is determined over the phase diagram and found to exhibit rich structure. In particular, the field derivative of the entanglement density becomes singular along the critical line. The form of this singularity is dictated by the universality class controlling the quantum phase transition.",

author = "Wei, \{Tzu Chieh\} and Dyutiman Das and Swagatam Mukhopadyay and Smitha Vishveshwara and Goldbart, \{Paul M.\}",

year = "2005",

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journal = "Physical Review A - Atomic, Molecular, and Optical Physics",

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AU - Wei, Tzu Chieh

AU - Das, Dyutiman

AU - Mukhopadyay, Swagatam

AU - Vishveshwara, Smitha

AU - Goldbart, Paul M.

PY - 2005/6

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N2 - The entanglement of quantum XY spin chains of arbitrary length is investigated via a recently developed global measure suitable for generic quantum many-body systems. This entanglement is determined over the phase diagram and found to exhibit rich structure. In particular, the field derivative of the entanglement density becomes singular along the critical line. The form of this singularity is dictated by the universality class controlling the quantum phase transition.

AB - The entanglement of quantum XY spin chains of arbitrary length is investigated via a recently developed global measure suitable for generic quantum many-body systems. This entanglement is determined over the phase diagram and found to exhibit rich structure. In particular, the field derivative of the entanglement density becomes singular along the critical line. The form of this singularity is dictated by the universality class controlling the quantum phase transition.

UR - https://www.scopus.com/pages/publications/26944484337

U2 - 10.1103/PhysRevA.71.060305

DO - 10.1103/PhysRevA.71.060305

M3 - Article

AN - SCOPUS:26944484337

SN - 1050-2947

VL - 71

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 6

M1 - 060305

ER -

Global entanglement and quantum criticality in spin chains

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