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Quantum Thermodynamics

Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement

arXiv
Authors: Roman Orus, Tzu-Chieh Wei, Hong-Hao Tu

Year

2010

Paper ID

10716

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

Here we investigate the phase diagram of the SO(n) bilinear-biquadratic quantum spin chain by studying the global quantum correlations of the ground state. We consider the cases of n=3,4 and 5 and focus on the geometric entanglement in the thermodynamic limit. Apart from capturing all the known phase transitions, our analysis shows a number of novel distinctive behaviors in the phase diagrams which we conjecture to be general and valid for arbitrary n. In particular, we provide an intuitive argument in favor of an infinite entanglement length in the system at a purely-biquadratic point. Our results are also compared to other methods, such as fidelity diagrams.

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  • Here we investigate the phase diagram of the SO(n) bilinear-biquadratic quantum spin chain by studying the global quantum correlations of the ground state.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.5029 [2] arXiv https://arxiv.org/abs/1010.5029 [3] Publisher https://arxiv.org/abs/1010.5029

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