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Vortex Polygons and Their Stabilities in Bose-Einstein Condensates and Field Theory

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Abstract

We study vortex polygons and their stabilities in miscible two-component Bose-Einstein condensates, and find that vortex polygons are stable for the total circulation Q≤5, metastable for Q=6, and unstable for Q≥7. As a related model in high-energy physics, we also study the vortex polygon of the baby-Skyrme model with an anti-ferromagnetic potential term, and compare both results.

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Acknowledgements

This work is supported in part by Grant-in-Aid for Scientific Research (Grants No. 22740219 (M. Kobayashi) and No. 23740198 and No. 25400268 (M. Nitta)) and the work of M. Nitta is also supported in part by the “Topological Quantum Phenomena” Grant-in-Aid for Scientific Research on Innovative Areas (No. 23103515 and No. 25103720) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan.

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Authors and Affiliations

  1. Department of Physics, Kyoto University, Oiwake-cho, Kitashirakawa, Sakyo-ku, Kyoto, 606-8502, Japan

    Michikazu Kobayashi

  2. Department of Physics, and Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa, 223-8521, Japan

    Muneto Nitta

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  1. Michikazu Kobayashi
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  2. Muneto Nitta
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Correspondence to Michikazu Kobayashi.

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Kobayashi, M., Nitta, M. Vortex Polygons and Their Stabilities in Bose-Einstein Condensates and Field Theory. J Low Temp Phys 175, 208–215 (2014). https://doi.org/10.1007/s10909-013-0977-4

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  • DOI: https://doi.org/10.1007/s10909-013-0977-4

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