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Geometric Hall Effect of \(^{23}\)Na Condensate in a Time- and Space-Dependent Magnetic Field

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Abstract

We simulate numerically the dynamics of \(^{23}\)Na condensate in a time- and space-dependent magnetic field with a variational approach. It is shown to be an efficient method to describe the complex dynamics of the system, which may excite the breather mode, the scissor mode, and the dipole mode simultaneously. Our results agree with the experimental observations of Choi et al. (Phys Rev Lett 111:245301, 2013). We reproduce qualitatively the geometric Hall effect and resonance behavior. We also find that the condensate shows a scissor-mode-like motion, which may play the shearing force to deform the condensate and consequently leads to the dynamical nucleation of quantized vortices.

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References

  1. D.M. Stamper-Kurn, M. Ueda, Rev. Mod. Phys. 85, 1191 (2013)

    Article  ADS  Google Scholar 

  2. Y. Kawaguchi, M. Ueda, Phys. Rep. 520, 253 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  3. J. Stenger, S. Inouye, D.M. Stamper-Kurn, H.-J. Miesner, A.P. Chikkatur, W. Ketterle, Nature 396, 345 (1998)

    Article  ADS  Google Scholar 

  4. L.E. Sadler, J.M. Higbie, S.R. Leslie, M. Vengalattore, D.M. Stamper-Kurn, Nature 443, 312 (2006)

    Article  ADS  Google Scholar 

  5. M.W. Ray, E. Ruokokoski, S. Kandel, M. Möttönen, D.S. Hall, Nature 505, 657 (2014)

    Article  ADS  Google Scholar 

  6. M.W. Ray, E. Ruokokoski, K. Tiurev, M. Möttönen, D.S. Hall, Science 348, 544 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  7. J.Y. Choi, S. Kang, S.W. Seo, W.J. Kwon, Y.I. Shin, Phys. Rev. Lett. 111, 245301 (2013)

    Article  ADS  Google Scholar 

  8. V.M. Perez-Garcia, H. Michinel, J.I. Cirac, M. Lewenstein, P. Zoller, Phys. Rev. Lett. 77, 5320 (1996)

    Article  ADS  Google Scholar 

  9. U. AlKhawaja, H.T.C. Stoof, Phys. Rev. A 65, 013605 (2001)

    Article  ADS  Google Scholar 

  10. Z. Chen, H. Zhai, Phys. Rev. A 86, 041604 (2012)

    Article  ADS  Google Scholar 

  11. T.L. Ho, Phys. Rev. Lett. 81, 742 (1998)

    Article  ADS  Google Scholar 

  12. L. Pitaevskii, S. Stringari, Bose-Einstein Condensation (Clarendon Press, London, 2003)

    MATH  Google Scholar 

  13. C.V. Ciobanu, S.-K. Yip, T.-L. Ho, Phys. Rev. A 61, 033607 (2000)

    Article  ADS  Google Scholar 

  14. C.J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, London, 2002)

    Google Scholar 

  15. D. Guéry-Odelin, S. Stringari, Phys. Rev. Lett. 83, 4452 (1999)

    Article  ADS  Google Scholar 

  16. J.Y. Choi, W.J. Kwon, Y.I. Shin, Phys. Rev. Lett. 108, 035301 (2012)

    Article  ADS  Google Scholar 

  17. J. Choi, W.J. Kwon, M. Lee, H. Jeong, K. An, Y. Shin, N. J. Phys. 14, 053013 (2012)

    Article  Google Scholar 

  18. T. Isoshima, M. Nakahara, T. Ohmi, K. Machida, Phys. Rev. A 61, 063610 (2000)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China, under Grant No. 11274095 and the Key Scientific Research Project of Henan Province of China, under Grant No. 16A140011. G.-P. Zheng thanks Prof. Hui Zhai for valuable suggestion and discussion.

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  1. Department of Physics, Henan Normal University, Xinxiang, 453007, Henan, China

    Gong-Ping Zheng, Ling-Ling Yang, Gao-Zhan Chang & Zhe Wu

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  1. Gong-Ping Zheng
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  2. Ling-Ling Yang
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  3. Gao-Zhan Chang
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  4. Zhe Wu
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Correspondence to Gong-Ping Zheng.

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Zheng, GP., Yang, LL., Chang, GZ. et al. Geometric Hall Effect of \(^{23}\)Na Condensate in a Time- and Space-Dependent Magnetic Field. J Low Temp Phys 183, 23–30 (2016). https://doi.org/10.1007/s10909-016-1494-z

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  • DOI: https://doi.org/10.1007/s10909-016-1494-z

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