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Low-Lying Collective Modes of a One-Dimensional Bose Gas with Quantum Fluctuation Effect

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Abstract

We theoretically investigate the collective excitations of a one-dimensional Bose–Einstein condensate with both interparticle interaction and quantum fluctuation effect in an anharmonic trap. We derive the coupled equations of motions for the center-of-mass coordinate of the condensate and its width by using variational approaches. We find a reentrant behavior of the breathing mode and demonstrate that the anharmonic distortion may give rise to the collapse and revival of the collective excitations.

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Acknowledgements

This work was jointly supported by the Educational Reform and Research Foundation of Southeast University under Grant 2019-074, the Physical Education Foundation of Higher Education Steering Committee of the Ministry of Education, the Pilot Class in Natural Sciences Foundation of Southeast University.

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Authors and Affiliations

  1. School of Physics, Southeast University, Nanjing, 211189, China

    Zhao-Hui Wang & Ji-Xuan Hou

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  1. Zhao-Hui Wang
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  2. Ji-Xuan Hou
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Correspondence to Ji-Xuan Hou.

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Wang, ZH., Hou, JX. Low-Lying Collective Modes of a One-Dimensional Bose Gas with Quantum Fluctuation Effect. J Low Temp Phys 199, 1324–1331 (2020). https://doi.org/10.1007/s10909-020-02438-x

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  • DOI: https://doi.org/10.1007/s10909-020-02438-x

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