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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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 |
_version_ |
1725449450306928640 |