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Effect of Dipolar Interaction on Information Entropy in Precession Bose-Einstein Condensates

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Abstract

In this paper, we study the formation of Shannon information entropy in a two axes rotating precessing Bose-Einstein condensates subject to dipole-dipole interactions. Our results show that how the Shannon information entropy depends on the second rotational frequency Ωx and dipole strength gd. With the increasing of gd, the position component Sr increases and momentum component Sk decreases at the same Ωx. Furthermore, we find that Landsberg’s order parameter η monotonically decreases with increasing Ωx and η increases with increasing gd at the same Ωx. Finally, we find that the increasing of dipole strength has no effect on the dynamic formation process of information entropy.

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Acknowledgments

Q. Z. would like to thank professor Weizhu Bao for useful discussions on the numerical calculations during the visit in Beijing Computational Science Research Center. Q. Z. is supported by the Higher Educational Science and Technology Research Project of Youth Fund of Hebei Province (Grant No. QN2019158).

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Authors and Affiliations

  1. School of Science, North China University of Science and Technology, Tangshan, 063210, China

    Qiang Zhao & Xiaoyu Li

  2. School of Information Engineering, North China University of Science and Technology, Tangshan, 063210, China

    Shichao Yang

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  1. Qiang Zhao
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  2. Shichao Yang
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  3. Xiaoyu Li
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Correspondence to Qiang Zhao.

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Zhao, Q., Yang, S. & Li, X. Effect of Dipolar Interaction on Information Entropy in Precession Bose-Einstein Condensates. Int J Theor Phys 59, 1876–1883 (2020). https://doi.org/10.1007/s10773-020-04455-8

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