Entanglement Entropy of the Spin-1 Condensates at Zero Temperature

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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Main Authors: Zhibing Li, Yimin Liu, Wei Zheng, Chengguang Bao
Format: Article
Language:English
Published: MDPI AG 2018-01-01
Series:Entropy
Subjects:
entanglement entropy
temperature zero
spin-1 Bose-Einstein condensates
Online Access:http://www.mdpi.com/1099-4300/20/1/80
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spelling doaj-74497379073a4f108abba834c958d47e2020-11-24T23:58:51ZengMDPI AGEntropy1099-43002018-01-012018010.3390/e20010080e20010080Entanglement Entropy of the Spin-1 Condensates at Zero TemperatureZhibing Li0Yimin Liu1Wei Zheng2Chengguang Bao3School of Physics, Sun Yat-Sen University, Guangzhou 510275, ChinaDepartment of Physics, Shaoguan University, Shaoguan 510205, ChinaTheory of Condensed Matter (T.C.M.) Group, Cavendish Laboratory, J.J.Thomson Avenue, Cambridge CB3 0HE, UKSchool of Physics, Sun Yat-Sen University, Guangzhou 510275, ChinaFor 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.http://www.mdpi.com/1099-4300/20/1/80entanglement entropytemperature zerospin-1 Bose-Einstein condensates
collection DOAJ
language English
format Article
sources DOAJ
author Zhibing Li
Yimin Liu
Wei Zheng
Chengguang Bao
spellingShingle Zhibing Li
Yimin Liu
Wei Zheng
Chengguang Bao
Entanglement Entropy of the Spin-1 Condensates at Zero Temperature
Entropy
entanglement entropy
temperature zero
spin-1 Bose-Einstein condensates
author_facet Zhibing Li
Yimin Liu
Wei Zheng
Chengguang Bao
author_sort Zhibing Li
title Entanglement Entropy of the Spin-1 Condensates at Zero Temperature
title_short 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_sort entanglement entropy of the spin-1 condensates at zero temperature
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2018-01-01
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.
topic entanglement entropy
temperature zero
spin-1 Bose-Einstein condensates
url http://www.mdpi.com/1099-4300/20/1/80
work_keys_str_mv AT zhibingli entanglemententropyofthespin1condensatesatzerotemperature
AT yiminliu entanglemententropyofthespin1condensatesatzerotemperature
AT weizheng entanglemententropyofthespin1condensatesatzerotemperature
AT chengguangbao entanglemententropyofthespin1condensatesatzerotemperature
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