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Entropy 2018, 20(1), 80; https://doi.org/10.3390/e20010080

Entanglement Entropy of the Spin-1 Condensates at Zero Temperature

1
School of Physics, Sun Yat-Sen University, Guangzhou 510275, China
2
Department of Physics, Shaoguan University, Shaoguan 510205, China
3
Theory of Condensed Matter (T.C.M.) Group, Cavendish Laboratory, J.J.Thomson Avenue, Cambridge CB3 0HE, UK
*
Author to whom correspondence should be addressed.
Received: 14 December 2017 / Revised: 10 January 2018 / Accepted: 18 January 2018 / Published: 22 January 2018
(This article belongs to the Special Issue Residual Entropy and Nonequilibrium States)
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Abstract

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. View Full-Text
Keywords: entanglement entropy; temperature zero; spin-1 Bose-Einstein condensates entanglement entropy; temperature zero; spin-1 Bose-Einstein condensates
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Li, Z.; Liu, Y.; Zheng, W.; Bao, C. Entanglement Entropy of the Spin-1 Condensates at Zero Temperature. Entropy 2018, 20, 80.

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