Self-trapping and tunneling of Bose-Einstein condensates in a cavity-mediated triple-well system

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Abstract

We have investigated tunneling characteristics of Bose-Einstein condensates (BECs) in a triple-well potential coupled to a high finesse optical cavity within a mean field approach. Due to the intrinsic atom-cavity field nonlinearity, several interesting phenomena arise which are the focuses of this work. In the dynamical process, an extensive numerical simulation of localization of the BECs for atoms initially trapped in one-, two-, and three-wells are performed for the symmetric and asymmetric cases in detail. It is shown that the the transition from the oscillation to the localization can be modified by the cavity-mediated potential, which will enlarge the regions of oscillation. With the increasing of the atomic interaction, the oscillation is blocked and the localization emerges. The condensates atoms can be trapped either in one-, two-, or in three wells eventually where they are initially uploaded for certain parameters. In particular, we find that the transition from the oscillation to the localization is accompanied with some irregular regime where tunneling dynamics is dominated by chaos for this cavity-mediated system.

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Keywords

Cold Matter and Quantum Gas 

References

  1. 1.
    F. Brennecke, T. Donner, S. Ritter, T. Bourdel, M. Köhl, T. Esslinger, Nature 450, 268 (2007)ADSCrossRefGoogle Scholar
  2. 2.
    Y. Colombe, T. Steinmetz, G. Dubois, F. Linke, D. Hunger, J. Reichel, Nature 450, 272 (2007)ADSCrossRefGoogle Scholar
  3. 3.
    M. Cola, M. Paris, N. Piovella, Phys. Rev. A 70, 043809 (2004)ADSCrossRefGoogle Scholar
  4. 4.
    S. Slama, S. Bux, G. Krenz, C. Zimmermann, P.W. Courteille, Phys. Rev. Lett. 98, 053603 (2007)ADSCrossRefGoogle Scholar
  5. 5.
    A. Vukics, C. Maschler, H. Ritsch, New J. Phys. 9, 255 (2007)ADSCrossRefGoogle Scholar
  6. 6.
    C. Maschler, I.B. Mekhov, H. Ritsch, Eur. Phys. J. D 46, 545 (2008)ADSCrossRefGoogle Scholar
  7. 7.
    J.M. Zhang, W.M. Liu, D.L. Zhou, Phys. Rev. A 77, 033620 (2008)ADSCrossRefGoogle Scholar
  8. 8.
    J. Larson, B. Damski, G. Morigi, M. Lewenstein, Phys. Rev. Lett. 100, 050401 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    G. Szirmai, D. Nagy, P. Domokos, Phys. Rev. Lett. 102, 080401 (2009)ADSCrossRefGoogle Scholar
  10. 10.
    U. Shrestha, J. Ruostekoski, New J. Phys. 14, 043037 (2012)ADSCrossRefGoogle Scholar
  11. 11.
    K.W. Murch, K.L. Moore, S. Gupta, D.M. Stamper-Kurn, Nat. Phys. 4, 561 (2008)CrossRefGoogle Scholar
  12. 12.
    F. Brennecke, S. Ritter, T. Donner, T. Esslinger, Science 322, 235 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    K. Baumann, C. Guerlin, F. Brennecke, T. Esslinger, Nature 464, 1301 (2010)ADSCrossRefGoogle Scholar
  14. 14.
    L. Zhou, H. Pu, H.Y. Ling, W.P. Zhang, Phys. Rev. Lett. 103, 160403 (2009)ADSCrossRefGoogle Scholar
  15. 15.
    L. Zhou, H. Pu, H.Y. Ling, K. Zhang, W.P. Zhang, Phys. Rev. A 81, 063641 (2010)ADSCrossRefGoogle Scholar
  16. 16.
    J. Larson, M. Lewenstein, New J. Phys. 11, 063027 (2009)ADSCrossRefGoogle Scholar
  17. 17.
    Y. Dong, J.W. Ye, H. Pu, Phys. Rev. A 83, 031608 (2011)ADSCrossRefGoogle Scholar
  18. 18.
    S. Gupta, K.L. Moore, K.W. Murch, D.M. Stamper-Kurn, Phys. Rev. Lett. 99, 213601 (2007)ADSCrossRefGoogle Scholar
  19. 19.
    S. Ritter, F. Brennecke, K. Baumann, T. Donner, C. Guerlin, T. Esslinger, Appl. Phys. B 95, 213 (2009)ADSCrossRefGoogle Scholar
  20. 20.
    G. Szirmai, D. Nagy, P. Domokos, Phys. Rev. A 81, 043639 (2010)ADSCrossRefGoogle Scholar
  21. 21.
    S. Yang, M. Al-Amri, J. Evers, M.S. Zubairy, Phys. Rev. A 83, 053821 (2011)ADSCrossRefGoogle Scholar
  22. 22.
    B.P. Venkatesh, J. Larson, D.H.J. O’Dell, Phys. Rev. A 83, 063606 (2011)ADSCrossRefGoogle Scholar
  23. 23.
    L. Zhou, H. Pu, K. Zhang, X.D. Zhao, W.P. Zhang, Phys. Rev. A 84, 043606 (2011)ADSCrossRefGoogle Scholar
  24. 24.
    J. Keeling, M.J. Bhaseen, B.D. Simons, Phys. Rev. Lett. 105, 043001 (2010)ADSCrossRefGoogle Scholar
  25. 25.
    D. Nagy, G. Kónya, G. Szirmai, P. Domokos, Phys. Rev. Lett. 104, 130401 (2010)ADSCrossRefGoogle Scholar
  26. 26.
    N. Liu, J.L. Lian, J. Ma, L.T. Xiao, G. Chen, J.Q. Liang, S.T. Jia, Phys. Rev. A 83, 033601 (2011)ADSCrossRefGoogle Scholar
  27. 27.
    J.M. Zhang, W.M. Liu, D.L. Zhou, Phys. Rev. A 78, 043618 (2008)ADSCrossRefGoogle Scholar
  28. 28.
    J. Larson, J. Martikainen, Phys. Rev. A 82, 033606 (2010)ADSCrossRefGoogle Scholar
  29. 29.
    G. Szirmai, G. Mazzarella, L. Salasnich, Phys. Rev. A 91, 023601 (2015)ADSCrossRefGoogle Scholar
  30. 30.
    W. Chen, P. Meystre, Phys. Rev. A 79, 043801 (2009)ADSCrossRefGoogle Scholar
  31. 31.
    P. Hamel, S. Haddadi, F. Raineri, P. Monnier, G. Beaudoin, I. Sagnes, A. Levenson, A.M. Yacomotti, Nat. Photon. 9, 311 (2015)ADSCrossRefGoogle Scholar
  32. 32.
    S. Mossmann, C. Jung, Phys. Rev. A 74, 033601 (2006)ADSCrossRefGoogle Scholar
  33. 33.
    T. Lahaye, T. Pfau, L. Santos, Phys. Rev. Lett. 104, 170404 (2010)ADSCrossRefGoogle Scholar
  34. 34.
    B. Liu, L.B. Fu, S.P. Yang, J. Liu, Phys. Rev. A 75, 033601 (2007)ADSCrossRefGoogle Scholar
  35. 35.
    L. Cao, I. Brouzos, S. Zölner, P. Schmelcher, New J. Phys. 13, 033032 (2011)ADSCrossRefGoogle Scholar
  36. 36.
    E.M. Graefe, H.J. Korsch, D. Witthaut, Phys. Rev. A 73, 013617 (2006)ADSCrossRefGoogle Scholar
  37. 37.
    G.B. Lu, W.H. Hai, Q.T. Xie, Phys. Rev. A 83, 013407 (2011)ADSCrossRefGoogle Scholar
  38. 38.
    A.I. Streltsov, K. Sakmann, O.E. Alon, L.S. Cederbaum, Phys. Rev. A 83, 043604 (2011)ADSCrossRefGoogle Scholar
  39. 39.
    J.A. Stickney, D.Z. Anderson, A.A. Zozulya, Phys. Rev. A 75, 013608 (2007)ADSCrossRefGoogle Scholar
  40. 40.
    A. Benseny, S. Fernández-Vidal, J. Bagudà, R. Corbalán, A. Picón, L. Roso, G. Birkl, J. Mompart, Phys. Rev. A 82, 013604 (2010)ADSCrossRefGoogle Scholar
  41. 41.
    B. Wang, Y. Chen, Chin. Phys. Lett. 75, 024211 (2013)ADSCrossRefGoogle Scholar
  42. 42.
    S. Haroche, M. Brune, J.M. Raimond, Europhys. Lett. 14, 19 (1991)ADSCrossRefGoogle Scholar
  43. 43.
    S.K. Adhikari, J. Phys. B 44, 075301 (2011)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.College of Physics and Optoelectronic Engineering, Taiyuan University of TechnologyTaiyuanChina
  2. 2.College of Mechanics, Taiyuan University of TechnologyTaiyuanChina
  3. 3.School of Physics and Electromechanical Engineering, Hexi UniversityZhangyeChina
  4. 4.Institute of Theoretical Physics, Lanzhou UniversityLanzhouChina

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