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Rabi-coupled Binary Bose-Einstein Condensates with Spatially Modulated Nonlinear Spin-Orbit Coupling

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Abstract

We study the ground-state phases of Rabi-coupled two-component Bose-Einstein condensates with rotation and spatially modulated nonlinear spin-orbit coupling. The spin-orbit coupling and Rabi coupling play important roles on the ground-state phases with the fixed rotation, however, they have the opposite effects on the generation of vortex. When the system without Rabi coupling, spin-orbit coupling can improve the generation of vortex. The vortex chain with regular pattern appears with strong spin-orbit coupling. Considering the Rabi coupling, the number of vortices is inhibited by the Rabi coupling with the fixed spin-orbit coupling and rotation strengths. The ground-state phase diagram spanned by the SOC strength and Rabi coupling with rotation is presented, the non-vortex phase, single-vortex phase and multi-vortex phase are classified. The spin textures of the ground-state phases are also discussed.

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References

  1. Anderson, M.H., Ensher, J.R., Matthews, M.R., Wieman, C.E., Cornell, E.A.: . Science 269, 198 (1995)

    Article  ADS  Google Scholar 

  2. Davis, K.B., Mewes, M.O., Andrews, M.R., van Druten, N.J., Durfee, D.S., Kurn, D.M., Ketterle, W.: . Phys. Rev. Lett. 75, 3969 (1995)

    Article  ADS  Google Scholar 

  3. Bradley, C.C., Sackett, C.A., Tollett, J.J., Hulet, R.G.: . Phys. Rev. Lett. 75, 1687 (1995)

    Article  ADS  Google Scholar 

  4. Ji, A.-C., Sun, Q., Xie, X.C., Liu, W.M.: . Phys. Rev. Lett. 102, 023602 (2009)

    Article  ADS  Google Scholar 

  5. Qi, R., Yu, X.-L., Li, Z.B., Liu, W.M.: . Phys. Rev. Lett. 102, 185301 (2009)

    Article  ADS  Google Scholar 

  6. Alon, O.E., Streltsov, A.I., Cederbaum, L.S.: . Phys. Rev. Lett. 95, 030405 (2005)

    Article  ADS  Google Scholar 

  7. Öhberg, P., Santos, L.: . Phys. Rev. Lett. 86, 2918 (2001)

    Article  ADS  Google Scholar 

  8. Becker, C., Stellmer, S., Soltan-Panahi, P., Dörscher, S., Baumert, M., Richter, E.M., Kronjäger, J., Bongs, K., Sengstock, K.: . Nat. Phys. 4, 496 (2008)

    Article  Google Scholar 

  9. Qu, C.L., Pitaevskii, L.P., Stringari, S.: . Phys. Rev. Lett. 116, 160402 (2016)

    Article  ADS  Google Scholar 

  10. Son, D., Stephanov, M.A.: . Phys. Rev. A 65, 063621 (2002)

    Article  ADS  Google Scholar 

  11. Ihara, K., Kasamatsu, K.: . Phys. Rev. A 100, 013630 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  12. Fetter, A.L.: . Rev. Mod. Phys. 81, 647 (2009)

    Article  ADS  Google Scholar 

  13. Eto, M., Nitta, M.: . Phys. Rev. A 97, 023613 (2018)

    Article  ADS  Google Scholar 

  14. Cipriani, M., Nitta, M.: . Phys. Rev. Lett. 111, 170401 (2013)

    Article  ADS  Google Scholar 

  15. Ji, A.-C, Liu, W.M., Song, J.L., Zhou, F.: . Phys. Rev. Lett. 101, 010402 (2008)

    Article  ADS  Google Scholar 

  16. Lin, Y.J., Jiménez-García, K., Spielman, I.B.: . Nat. (Lond.) 471, 83 (2011)

    Article  ADS  Google Scholar 

  17. Zhang, J.Y., Ji, S.C., Chen, Z., Zhang, L., Du, Z.D., Yan, B., Pan, G.S., Zhao, B., Deng, Y.J., Zhai, H., Chen, S., Pan, J.W.: . Phys. Rev. Lett. 109, 115301 (2012)

    Article  ADS  Google Scholar 

  18. Wu, Z., Zhang, L., Sun, W., Xu, X.T., Wang, B.Z., Ji, S.C., Deng, Y., Chen, S., Liu, X.J., Pan, J.W.: . Science 354, 83 (2016)

    Article  ADS  Google Scholar 

  19. Wang, C., Gao, C., Jian, C.M., Zhai, H.: . Phys. Rev. Lett. 105, 160403 (2010)

    Article  ADS  Google Scholar 

  20. Ho, T.L., Zhang, S.: . Phys. Rev. Lett. 107, 150403 (2011)

    Article  ADS  Google Scholar 

  21. Wu, C., Mondragon-Shem, I.: . Chin. Phys. Lett. 28, 097102 (2011)

    Article  ADS  Google Scholar 

  22. Hu, H., Ramachandhran, B., Pu, H., Liu, X.J.: . Phys. Rev. Lett. 108, 010402 (2012)

    Article  ADS  Google Scholar 

  23. Wilson, R.M., Anderson, B.M., Clark, C.W.: . Phys. Rev. Lett. 111, 185303 (2013)

    Article  ADS  Google Scholar 

  24. Salasnich, L., Malomed, B.A.: . Phys. Rev. A 87, 063625 (2013)

    Article  ADS  Google Scholar 

  25. Salasnich, L., Cardoso, W.B., Malomed, B.A.: . Phys. Rev. A 90, 033629 (2014)

    Article  ADS  Google Scholar 

  26. Sakaguchi, H., Malomed, B.A.: . Phys. Rev. A 96, 043620 (2017)

    Article  ADS  Google Scholar 

  27. Chiquillo, E.: . Phys. Rev. A 97, 013614 (2018)

    Article  ADS  Google Scholar 

  28. Cardoso, W.B., Teixeira, R.M.P.: . Nonlinear Dyn. 96, 1147–1167 (2019)

    Article  Google Scholar 

  29. Liang, Z.X., Zhang, Z.D., Liu, W.M.: . Phys. Rev. Lett. 94, 050402 (2005)

    Article  ADS  Google Scholar 

  30. Sakaguchi, H., Malomed, B.A.: . Phys. Rev. E 73, 026601 (2006)

    Article  ADS  Google Scholar 

  31. Wang, D.S., Hu, X.H., Hu, J.P., Liu, W.M.: . Phys. Rev. A 81, 025604 (2010)

    Article  ADS  Google Scholar 

  32. Kartashov, Y.V., Malomed, B.A., Shnir, Y., Torner, L.: . Phys. Rev. Lett. 113, 264101 (2014)

    Article  ADS  Google Scholar 

  33. Zhao, W.L., Ding, C.Y., Liu, J., Fu, L.B.: . J. Phys. B: At. Mol. Opt. Phys. 49, 125303 (2016)

    Article  ADS  Google Scholar 

  34. He, Z.M., Wen, L., Wang, Y.J., Chen, G.P., Tan, R.B., Dai, C.Q., Zhang, X.F.: . Phys. Rev. E 99, 062216 (2019)

    Article  ADS  Google Scholar 

  35. Zhong, R.X., Chen, Z.P., Huang, C.Q., Luo, Z.H., Tan, H.S., Malomed, B.A., Li, Y.Y.: . Front. Phys. 13, 130311 (2018)

    Article  Google Scholar 

  36. Li, Y.Y., Zhang, X.L., Zhong, R.X., Luo, Z.H., Liu, B., Huang, C.Q., Pang, W., Malomed, B.A.: . Commun. Nonlinear Sci. Numer. Simulat. 73, 481–489 (2019)

    Article  ADS  Google Scholar 

  37. Wang, J.G., Li, Y.Q.: . Result Phys. 17, 103099 (2020)

    Article  ADS  Google Scholar 

  38. Clark, L.W., Ha, L.C., Xu, C.Y., Chin, C.: . Phys. Rev. Lett. 115, 155301 (2015)

    Article  ADS  Google Scholar 

  39. Donley, E.A., Claussen, N.R., Cornish, S.L., Roberts, J.L., Cornell, E.A., Wieman, C.E.: . Nat. (Lond.) 412, 295 (2001)

    Article  ADS  Google Scholar 

  40. Kevrekidis, P.G., Theocharis, G., Frantzeskakis, D.J., Malomed, B.A.: . Phys. Rev. Lett. 90, 230401 (2003)

    Article  ADS  Google Scholar 

  41. Chin, C., Grimm, R., Julienne, P., Tiesinga, E.: . Rev. Mod. Phys. 82, 1225 (2010)

    Article  ADS  Google Scholar 

  42. Radić, J., Sedrakyan, T.A., Spielman, I.B., Galitski, V.: . Phys. Rev. A 84, 063604 (2011)

    Article  ADS  Google Scholar 

  43. Zhou, X.F., Zhou, J., Wu, C.: . Phys. Rev. A 84, 063624 (2011)

    Article  ADS  Google Scholar 

  44. Xu, X.Q., Han, J.H.: . Phys. Rev. Lett. 107, 200401 (2011)

    Article  ADS  Google Scholar 

  45. Liu, C.F., Liu, W.M.: . Phys. Rev. A 86, 033602 (2012)

    Article  ADS  Google Scholar 

  46. Liu, C.F., Fan, H., Zhang, Y.C., Wang, D.S., Liu, W.M.: . Phys. Rev. A 86, 053616 (2012)

    Article  ADS  Google Scholar 

  47. Ramachandhran, B., Opanchuk, B., Liu, X.J., Pu, H., Drummond, P.D., Hu, H.: . Phys. Rev. A 85, 023606 (2012)

    Article  ADS  Google Scholar 

  48. Bao, W., Jin, S., Markowich, P.A.: . J. Comput. Phys. 175, 487 (2002). W. Bao, D. Jaksch, and P. A. Markowich, J. Comput. Phys. 187, 318 (2003); Multiscale Model. Simul, 2 210 (2004); W. Bao, I. L. Chern, Y. Z. Zhang, J. Comput. Phys. 253, 189 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  49. Wang, H.: . Int. J. Comput. Math. 84, 925 (2007)

    Article  MathSciNet  Google Scholar 

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Funding

This work is supported by the NSF of China under grant No. 11904242 and the NSF of Hebei province under Grant No. A2019210280.

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Correspondence to Ji-Guo Wang.

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Zhao, JC., Li, CD., Li, YQ. et al. Rabi-coupled Binary Bose-Einstein Condensates with Spatially Modulated Nonlinear Spin-Orbit Coupling. Int J Theor Phys 60, 3609–3617 (2021). https://doi.org/10.1007/s10773-021-04926-6

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  • DOI: https://doi.org/10.1007/s10773-021-04926-6

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