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A Dynamical Phase Transition of Binary Species BECs Mixtures in a Double Well Potential

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Abstract

We investigate the critical behavior in tunneling dynamics of a binary mixture of Bose-Einstein condensates (BECs) trapped in a symmetric double well potential. By gradually increasing the interspecies interaction, we characterize a continuous dynamical phase transition behavior which involves power law scaling. This dynamical phase transition is a consequence of separatrix crossing as we revealed by poincaré section analysis.

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References

  1. Hall, B.V., Whitlock, S., Anderson, R., Hannaford, P., Sidorov, A.I.: Phys. Rev. Lett. 98, 030402 (2007)

    Article  ADS  Google Scholar 

  2. Schumm, T., Hofferberth, S., Andersson, L.M., Wildermuth, S., Groth, S., Bar-Joseph, I., Schmiedmayer, J., Krüger, P.: Nat. Phys. 1, 57 (2005)

    Article  Google Scholar 

  3. Smerzi, A., Fantoni, S., Giovanazzi, S., Shenoy, S.R.: Phys. Rev. Lett. 79, 4950 (1997)

    Article  ADS  Google Scholar 

  4. Levy, S., Lahoud, E., Shomroni, I., Steinhauer, J.: Nature (London) 449, 579 (2007)

    Article  ADS  Google Scholar 

  5. Zibold, T., Nicklas, E., Gross, C., Oberthaler, M.K.: Phys. Rev. Lett. 105, 204101 (2010)

    Article  ADS  Google Scholar 

  6. Raghavan, S., Smerzi, A., Fantoni, S., Shenoy, S.R.: Phys. Rev. A. 59, 620 (1999)

    Article  ADS  Google Scholar 

  7. Fu, L.-B., Liu, J.: Phys. Rev. A. 74, 063614 (2006)

    Article  ADS  Google Scholar 

  8. Tian, J., Qiu, H.B.: Commun. Theor. Phys. 60, 171 (2013)

    Article  ADS  Google Scholar 

  9. Viscondi, T.F., Furuya, K., de Oliveira, M.C.: Phys. Rev. A 80, 013610 (2009)

    Article  ADS  Google Scholar 

  10. Satija, I.I., Balakrishnan, R., Naudus, P., Heward, J., Edwards, M., Clark, C.W.: Phys. Rev. A 79, 033616 (2009)

    Article  ADS  Google Scholar 

  11. Mazzarella, G., Malomed, B., Salasnich, L., Salerno, M., Toigo, F.: J. Phys. B: At. Mol. Opt. 44, 035301 (2011)

    Article  ADS  Google Scholar 

  12. Qiu, H.B., Tian, J., Fu, L.-B.: Phys. Rev. A. 81, 043613 (2010)

    Article  ADS  Google Scholar 

  13. Qiu, H.B., Zambrini, R., Polls, A., Martorell, J., Julia-Diaz, B.: Phys. Rev. A. 92, 043619 (2015)

    Article  ADS  Google Scholar 

  14. Ashhab, S., Lobo, C.: Phys. Rev. A. 66, 013609 (2002)

    Article  ADS  Google Scholar 

  15. Xu, X.Q., Lu, L.H., Li, Y.Q.: Phys. Rev. A 78, 043609 (2008)

    Article  ADS  Google Scholar 

  16. Papp, S.B., Wieman, C.E.: Phys. Rev. Lett. 97, 180404 (2006)

    Article  ADS  Google Scholar 

  17. Tian, J., Qiu, H.B., Chen, Z.C., Chen, Y.: Moder. Phys. Lett. B 27, 1350036 (2013)

    Article  ADS  Google Scholar 

  18. Lichenberg, A.J., Lieberman, M.A.: Regular and Stochastic Motion. Springer-Verlag Press, New York (1983)

    Book  Google Scholar 

Download references

Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant-11104217, Grant-11402199), the Science Plan Foundation office of the Education Department of Shaanxi Province (Grant-14JK1676), the National Natural Science Foundation of Shaanxi Province (Grant-14JQ1022).

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Authors and Affiliations

  1. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    Jing Tian & Haibo Qiu

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  1. Jing Tian
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  2. Haibo Qiu
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Correspondence to Haibo Qiu.

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Tian, J., Qiu, H. A Dynamical Phase Transition of Binary Species BECs Mixtures in a Double Well Potential. Int J Theor Phys 56, 321–327 (2017). https://doi.org/10.1007/s10773-016-3164-y

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  • DOI: https://doi.org/10.1007/s10773-016-3164-y

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