Entanglement analysis of isotropic spin-1 chains

Ronny Thomale; Stephan Rachel; B. Andrei Bernevig; Daniel P. Arovas

doi:10.1088/1742-5468/2015/07/P07017

Entanglement analysis of isotropic spin-1 chains

Ronny Thomale, Stephan Rachel, B. Andrei Bernevig, Daniel P. Arovas

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

11 Scopus citations

Abstract

We investigate entanglement spectra of the SO(3) bilinear-biquadratic spin-1 chain, a model with phases exhibiting spontaneous symmetry breaking (both translation and spin rotation), points of enlarged symmetry, and a symmetry-protected topological phase (the Haldane phase). Our analysis reveals how these hallmark features are manifested in the entanglement spectra, and highlights the versatility of entanglement spectra as a tool to study one-dimensional quantum systems via small finite size realizations.

Original language	English (US)
Article number	P07017
Journal	Journal of Statistical Mechanics: Theory and Experiment
Volume	2015
Issue number	7
DOIs	https://doi.org/10.1088/1742-5468/2015/07/P07017
State	Published - Jul 1 2015

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty

Keywords

entanglement in extended quantum systems
ladders and planes (theory)
spin chains

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10.1088/1742-5468/2015/07/P07017

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abstract = "We investigate entanglement spectra of the SO(3) bilinear-biquadratic spin-1 chain, a model with phases exhibiting spontaneous symmetry breaking (both translation and spin rotation), points of enlarged symmetry, and a symmetry-protected topological phase (the Haldane phase). Our analysis reveals how these hallmark features are manifested in the entanglement spectra, and highlights the versatility of entanglement spectra as a tool to study one-dimensional quantum systems via small finite size realizations.",

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AU - Rachel, Stephan

AU - Bernevig, B. Andrei

AU - Arovas, Daniel P.

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Y1 - 2015/7/1

N2 - We investigate entanglement spectra of the SO(3) bilinear-biquadratic spin-1 chain, a model with phases exhibiting spontaneous symmetry breaking (both translation and spin rotation), points of enlarged symmetry, and a symmetry-protected topological phase (the Haldane phase). Our analysis reveals how these hallmark features are manifested in the entanglement spectra, and highlights the versatility of entanglement spectra as a tool to study one-dimensional quantum systems via small finite size realizations.

AB - We investigate entanglement spectra of the SO(3) bilinear-biquadratic spin-1 chain, a model with phases exhibiting spontaneous symmetry breaking (both translation and spin rotation), points of enlarged symmetry, and a symmetry-protected topological phase (the Haldane phase). Our analysis reveals how these hallmark features are manifested in the entanglement spectra, and highlights the versatility of entanglement spectra as a tool to study one-dimensional quantum systems via small finite size realizations.

KW - entanglement in extended quantum systems

KW - ladders and planes (theory)

KW - spin chains

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Entanglement analysis of isotropic spin-1 chains

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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