Advertisement

International Journal of Theoretical Physics

, Volume 58, Issue 4, pp 1108–1116 | Cite as

Dipolar-Induced Formation of Domain in Spin-2 Bose-Einstein Condensates

  • Qiang ZhaoEmail author
  • Hongyan Liu
Article
  • 43 Downloads

Abstract

In this paper, we investigate the formation of domain in a spin-2 Bose-Einstein condensates by numerically solving the one-dimensional Gross-Pitaevskii equation. We focus the effect of dipolar interaction on the formation of domain. We reveal that the density distribution obeys the single-mode approximation at small dipole strength \( {c}_d^{\prime } \). In this case, the domain isn’t observed. Nevertheless, the formation of domain can be realized by further increasing the dipole strength to a critical value. In addition, we also calculate the domain structure by changing the trap geometric, the rich domain structures are observed. Fianlly, we show that the number of position Nd increases with increasing dipole strength \( {c}_d^{\prime } \) and it keeps even in current considered parameters.

Keywords

Dipole-dipole interaction Domain Spinor Bose-Einstein condensates 

Notes

Acknowledgements

We would like to thank Yuki Kawaguchi and Weizhu Bao for useful discussions on the calculation of dipolar interaction. Q. Z. is supported by the Applied Basic Research Programs of Tangshan (Grant No. 18130219a). H. Y. L is supported by the Natural Science Foundation of Shandong province (Grant No. ZR2017MEM012).

References

  1. 1.
    Stamper-Kurn, D.M., Ueda, M.: Rev. Mod. Phys. 85, 1191 (2013)ADSCrossRefGoogle Scholar
  2. 2.
    Kawaguchi, Y., Ueda, M.: Phys. Rep. 520, 253 (2012)ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., Sen, U.: Adv. Phys. 56, 243 (2007)ADSCrossRefGoogle Scholar
  4. 4.
    Lompe, T., Ottenstein, T.B., Serwane, F., Wenz, A.N., Zürn, G., Jochim, S.: Science 330, 940 (2010)ADSCrossRefGoogle Scholar
  5. 5.
    Guzman, J., Jo, G.B., Wenz, A.N., Murch, K.W., Thomas, C.K., Stamper-Kurn, D.M.: Phys. Rev. A 84, 063625 (2011)ADSCrossRefGoogle Scholar
  6. 6.
    Zhao, L., Jiang, J., Tang, T., Webb, M., Liu, Y.: Phys. Rev. Lett. 114, 225302 (2015)ADSCrossRefGoogle Scholar
  7. 7.
    Higbie, J.M., Sadler, L.E., Inouye, S., Chikkatur, A.P., Leslie, S.R., Moore, K.L., Savali, V., Stamper-Kurn, D.M.: Phys. Rev. Lett. 95, 050401 (2005)ADSCrossRefGoogle Scholar
  8. 8.
    DeSalvo, B.J., Yan, M., Mickelson, P.G., Martinez de Escobar, Y.N., Killian, T.C.: Phys. Rev. Lett. 105, 030402 (2010)ADSCrossRefGoogle Scholar
  9. 9.
    Hofrichter, C., Riegger, L., Scazza, F., Höfer, M., Fernandes, D.R., Bloch, I., Fölling, S.: Phys. Rev. X 6, 021030 (2016)Google Scholar
  10. 10.
    Zhang, X., Bishof, M., Bromley, S.L., Kraus, C.V., Safronova, M.S., Zoller, P., Rey, A.M., Ye, J.: Science 345, 1467 (2014)ADSCrossRefGoogle Scholar
  11. 11.
    Scazza, F., Hofrichter, C., Höfer, M., De Groot, P.C., Bloch, I., Fölling, S.: Nat. Phys. 10, 779 (2014)CrossRefGoogle Scholar
  12. 12.
    Ho, T.L.: Phys. Rev. Lett. 81, 742 (1998)ADSCrossRefGoogle Scholar
  13. 13.
    Ohmi, T., Machida, K.: J. Phys. Soc. Jpn. 67, 1822 (1998)ADSCrossRefGoogle Scholar
  14. 14.
    Santos, L., Pfau, T.: Phys. Rev. Lett. 96, 190404 (2006)ADSCrossRefGoogle Scholar
  15. 15.
    Symes, L.M., Blakie, P.B.: Phys. Rev. A 96, 013602 (2017)ADSCrossRefGoogle Scholar
  16. 16.
    Jiang, J., Zhao, L., Wang, S.T., Chen, Z., Tang, T., Duan, L.M., Liu, Y.: Phys. Rev. A 93, 063607 (2016)ADSCrossRefGoogle Scholar
  17. 17.
    Batrouni, G.G., Rousseau, V.G., Scalettar, R.T.: Phys. Rev. Lett. 102, 140402 (2009)ADSCrossRefGoogle Scholar
  18. 18.
    Kawaguchi, Y., Saito, H., Kudo, K., Ueda, M.: Phys. Rev. A 82, 043627 (2010)ADSCrossRefGoogle Scholar
  19. 19.
    Eto, Y., Saito, H., Hirano, T.: Phys. Rev. Lett. 112, 185301 (2014)ADSCrossRefGoogle Scholar
  20. 20.
    Tiurev, K., Ollikainen, T., Kuopanportti, P., Nakahara, M., Hall, D.S., Möttönen, M.: New. J. Phys. 20, 055011 (2018)ADSCrossRefGoogle Scholar
  21. 21.
    Wang, H.Q.: J. Comput. Phys. 274, 473 (2014)ADSMathSciNetCrossRefGoogle Scholar
  22. 22.
    van Kempen, E.G.M., Kokkelmans, S.J.J.M.F., Heinzen, D.J., Verhaar, B.J.: Phys. Rev. Lett. 88, 093201 (2002)ADSCrossRefGoogle Scholar
  23. 23.
    Bao, W.Z., Cai, Y.Y., Wang, H.Q.: J. Comput. Phys. 229, 7874 (2010)ADSMathSciNetCrossRefGoogle Scholar
  24. 24.
    Wilson, R.M., Ronen, S., Bohn, J.L.: Phys. Rev. Lett. 10, 245302 (2008)ADSCrossRefGoogle Scholar
  25. 25.
    Wilson, R.M., Bohn, J.L.: Phys. Rev. Lett. 83, 023623 (2011)ADSGoogle Scholar
  26. 26.
    Chin, C., Grimm, R., Julienne, P., Tiesinga, E.: Rev. Mod. Phys. 82, 1225 (2010)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Applied PhysicsNorth China University of Science and TechnologyTangshanChina
  2. 2.School of Physics and Electronic EngineeringHeze UniversityHezeChina

Personalised recommendations