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Entanglement Entropy of the Spin-1 Condensates at Zero Temperature.

作者信息

Li Zhibing, Liu Yimin, Zheng Wei, Bao Chengguang

机构信息

School of Physics, Sun Yat-Sen University, Guangzhou 510275, China.

Department of Physics, Shaoguan University, Shaoguan 510205, China.

出版信息

Entropy (Basel). 2018 Jan 22;20(1):80. doi: 10.3390/e20010080.

DOI:10.3390/e20010080
PMID:33265167
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7512279/
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.

摘要
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/72f6/7512279/f3df3ddb227e/entropy-20-00080-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/72f6/7512279/65a43f570be0/entropy-20-00080-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/72f6/7512279/04bb872b4738/entropy-20-00080-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/72f6/7512279/f3df3ddb227e/entropy-20-00080-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/72f6/7512279/65a43f570be0/entropy-20-00080-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/72f6/7512279/04bb872b4738/entropy-20-00080-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/72f6/7512279/f3df3ddb227e/entropy-20-00080-g003.jpg

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本文引用的文献

1
Exact eigenstates and magnetic response of spin-1 and spin-2 bose-einstein condensates.
Phys Rev Lett. 2000 Feb 7;84(6):1066-9. doi: 10.1103/PhysRevLett.84.1066.
2
Fragmented and single condensate ground states of spin-1 bose Gas.
Phys Rev Lett. 2000 May 1;84(18):4031-4. doi: 10.1103/PhysRevLett.84.4031.