Entanglement Entropy of the Spin-1 Condensates at Zero Temperature

For spin-1 condensates, the spatial degrees of freedom can be considered as being frozen at temperature zero, while the spin-degrees of freedom remain free. Under this condition, the entanglement entropy has been derived exactly with an analytical form. The entanglement entropy is found to decrease...

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Detalles Bibliográficos
Autores principales: Li, Zhibing, Liu, Yimin, Zheng, Wei, Bao, Chengguang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512279/
https://www.ncbi.nlm.nih.gov/pubmed/33265167
http://dx.doi.org/10.3390/e20010080
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author Li, Zhibing
Liu, Yimin
Zheng, Wei
Bao, Chengguang
author_facet Li, Zhibing
Liu, Yimin
Zheng, Wei
Bao, Chengguang
author_sort Li, Zhibing
collection PubMed
description For spin-1 condensates, the spatial degrees of freedom can be considered as being frozen at temperature zero, while the spin-degrees of freedom remain free. Under this condition, the entanglement entropy has been derived exactly with an analytical form. The entanglement entropy is found to decrease monotonically with the increase of the magnetic polarization as expected. However, for the ground state in polar phase, an extremely steep fall of the entropy is found when the polarization emerges from zero. Then the fall becomes a gentle descent after the polarization exceeds a turning point.
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spelling pubmed-75122792020-11-09 Entanglement Entropy of the Spin-1 Condensates at Zero Temperature Li, Zhibing Liu, Yimin Zheng, Wei Bao, Chengguang Entropy (Basel) Article For spin-1 condensates, the spatial degrees of freedom can be considered as being frozen at temperature zero, while the spin-degrees of freedom remain free. Under this condition, the entanglement entropy has been derived exactly with an analytical form. The entanglement entropy is found to decrease monotonically with the increase of the magnetic polarization as expected. However, for the ground state in polar phase, an extremely steep fall of the entropy is found when the polarization emerges from zero. Then the fall becomes a gentle descent after the polarization exceeds a turning point. MDPI 2018-01-22 /pmc/articles/PMC7512279/ /pubmed/33265167 http://dx.doi.org/10.3390/e20010080 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Li, Zhibing
Liu, Yimin
Zheng, Wei
Bao, Chengguang
Entanglement Entropy of the Spin-1 Condensates at Zero Temperature
title Entanglement Entropy of the Spin-1 Condensates at Zero Temperature
title_full Entanglement Entropy of the Spin-1 Condensates at Zero Temperature
title_fullStr Entanglement Entropy of the Spin-1 Condensates at Zero Temperature
title_full_unstemmed Entanglement Entropy of the Spin-1 Condensates at Zero Temperature
title_short Entanglement Entropy of the Spin-1 Condensates at Zero Temperature
title_sort entanglement entropy of the spin-1 condensates at zero temperature
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512279/
https://www.ncbi.nlm.nih.gov/pubmed/33265167
http://dx.doi.org/10.3390/e20010080
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AT liuyimin entanglemententropyofthespin1condensatesatzerotemperature
AT zhengwei entanglemententropyofthespin1condensatesatzerotemperature
AT baochengguang entanglemententropyofthespin1condensatesatzerotemperature

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