Skip to main content
Log in

Quantum tunneling and entanglement of dipolar spin-1 bosons in double well potentials

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We study spinor Bose-Einstein condensates with dipolar interaction in double well potentials. We consider the two-site Bose Hubbard model and find single atom tunneling occurs for the small tunneling strength. We also investigate the entanglement between the two wells and show that the entanglement is due to both number and spin degrees of freedom. The number entanglement is insensitive to the dipolar interaction, while the spin entanglement is suppressed by dipolar interaction. In addition, we show that the single atom tunneling behavior can be manipulated by adiabatically varying the energy offset between the two wells.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B.P. Anderson, M.A. Kasevich, Science. 282, 1686 (1998)

    Article  ADS  Google Scholar 

  2. F.S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, M. Inguscio, Science. 293, 843 (2001)

    Article  ADS  Google Scholar 

  3. S. Burger, F.S. Cataliotti, C. Fort, F. Minardi, M. Inguscio, M.L. Chiofalo, M.P. Tosi, Phys. Rev. Lett. 86, 4447 (2001)

    Article  ADS  Google Scholar 

  4. O. Morsch, J.H. Müller, M. Cristiani, D. Ciampini, E. Arimondo, Phys. Rev. Lett. 87, 140402 (2001)

    Article  ADS  Google Scholar 

  5. D. Jaksch, P. Zoller, Ann. Phys. 315, 52 (2005)

    Article  ADS  Google Scholar 

  6. A. Minguzzi, S. Succi, F. Toschi, M.P. Tosi, P. Vignolo, Phys. Rep. 395, 223 (2004)

    Article  ADS  Google Scholar 

  7. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen (De), U. Sen, Adv. Phys. 56, 243 (2007)

    Article  ADS  Google Scholar 

  8. I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)

    Article  ADS  Google Scholar 

  9. I. Bloch, J. Dalibard, S. Nascimb‘ene, Nat. Phys. 8, 267 (2012)

    Article  Google Scholar 

  10. M. Lewenstein, A. Sanpera, V. Ahufinger, Ultracold Atoms in Optical Lattices: Simulating Quantum Many Body Physics (Oxford University Press, Oxford, 2012)

  11. W.M. Liu, W.B. Fan, W.M. Zheng, J.Q. Liang, S.T. Chui, Phys. Rev. Lett. 88, 170408 (2002)

    Article  ADS  Google Scholar 

  12. J.H. Wu, R. Qi, A.C. Ji, W.M. Liu, Front. Phys. 9, 137 (2014)

    Article  Google Scholar 

  13. K. Marquardt, P. Wieland, R. Hafner, H. Cartarius, J. Main, G. Wunner, Phys. Rev. A 86, 063629 (2012)

    Article  ADS  Google Scholar 

  14. F. Gerbier, S. Trotzky, S. Fölling, U. Schnorrberger, J.D. Thompson, A. Widera, I. Bloch, L. Pollet, M. Troyer, B. Capogrosso-Sansone, N.V. Prokofev, B.V. Svistunov, Phys. Rev. Lett. 101, 155303 (2008)

    Article  ADS  Google Scholar 

  15. P. Pedri, L. Pitaevskii, S. Stringari, C. Fort, S. Burger, F.S. Cataliotti, P. Maddaloni, F. Minardi, M. Inguscio, Phys. Rev. Lett. 87, 220401 (2001)

    Article  ADS  Google Scholar 

  16. J.F. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch, S. Kuhr, Nature 467, 68 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. P. Zhang, H.H. Jen, C.P. Sun, L. You, Phys. Rev. Lett. 98, 030403 (2007)

    Article  ADS  Google Scholar 

  19. D.M. Stamper-Kurn, M.R. Andrews, A.P. Chikkatur, S. Inouye, H.-J. Miesner, J. Stenger, W. Ketterle, Phys. Rev. Lett. 80, 2027 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  21. T. Ohmi, K. Machida, J. Phys. Soc. Jpn 67, 1822 (1998)

    Article  ADS  Google Scholar 

  22. C.K. Law, H. Pu, N.P. Bigelow, Phys. Rev. Lett. 81, 5257 (1998)

    Article  ADS  Google Scholar 

  23. S. Yi, H. Pu, Phys. Rev. Lett. 97, 020401 (2006)

    Article  ADS  Google Scholar 

  24. S. Yi, H. Pu, Phys. Rev. A 73, 023602 (2006)

    Article  ADS  Google Scholar 

  25. D.S. Hall, M.R. Matthews, J.R. Ensher, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 81, 1539 (1998)

    Article  ADS  Google Scholar 

  26. H. Pu, N.P. Bigelow, Phys. Rev. Lett. 80, 1130 (1998)

    Article  ADS  Google Scholar 

  27. H. Pu, N.P. Bigelow, Phys. Rev. Lett. 80, 1134 (1998)

    Article  ADS  Google Scholar 

  28. L. Yang, Y. Zhang, Phys. Rev. A 74, 043604 (2006)

    Article  ADS  Google Scholar 

  29. R.M. Wilson, S. Ronen, J.L. Bohn, Phys. Rev. A 80, 023614 (2009)

    Article  ADS  Google Scholar 

  30. B. Xiong, J. Gong, H. Pu, W. Bao, B. Li, Phys. Rev. A 79, 013626 (2009)

    Article  ADS  Google Scholar 

  31. L. Santos, T. Pfau, Phys. Rev. Lett. 96, 190404 (2006)

    Article  ADS  Google Scholar 

  32. A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, T. Pfau, Phys. Rev. Lett. 94, 160401 (2005)

    Article  ADS  Google Scholar 

  33. Y. Kawaguchi, H. Saito, M. Ueda, Phys. Rev. Lett. 96, 080405 (2006)

    Article  ADS  Google Scholar 

  34. S. Yi, O.E. Mustecaplioğlu, C.P. Sun, L. You, Phys. Rev. A 66, 011601 (2002)

    Article  ADS  Google Scholar 

  35. Ying Wu, Phys. Rev. A 54, 4534 (1996)

    Article  ADS  Google Scholar 

  36. E.V. Goldstein, P. Meystre, Phys. Rev. A 59, 3896 (1999)

    Article  ADS  Google Scholar 

  37. D.M. Stamper-Kurn, M.R. Andrews, A.P. Chikkatur, S. Inouye, H.-J. Miesner, J. Stenger, W. Ketterle, Phys. Rev. Lett. 80, 2027 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  39. M. Vengalattore, S.R. Leslie, J. Guzman, D.M. Stamper-Kurn, Phys. Rev. Lett. 100, 170403 (2008)

    Article  ADS  Google Scholar 

  40. M.D. Barrett, J.A. Sauer, M.S. Chapman, Phys. Rev. Lett. 87, 010404 (2001)

    Article  ADS  Google Scholar 

  41. G.-P. Zheng, S.-F. Qin, W.-T. Jian, S.-Y. Wang, J. Low Temp. Phys. 172, 289 (2013)

    Article  ADS  Google Scholar 

  42. G.-P. Zheng, J. Phys. B 40, 4493 (2007)

    Article  ADS  Google Scholar 

  43. B.-L. Chen, S.-P. Kou, Y. Zhang, S. Chen, Phys. Rev. A 81, 053608 (2010)

    Article  ADS  Google Scholar 

  44. G.-P. Zheng, S.-F. Qin, S.-Y. Wang, W.-T. Jian, Commun. Theor. Phys. 59, 417 (2013)

    Article  ADS  Google Scholar 

  45. B.D. Esry, C.H. Greene, J.P. Burke, Jr., J.L. Bohn, Phys. Rev. Lett. 78, 3594 (1997)

    Article  ADS  Google Scholar 

  46. C.J. Myatt, E.A. Burt, R.W. Ghrist, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 78, 586 (1997)

    Article  ADS  Google Scholar 

  47. H. Pu, S. Raghavan, N.P. Bigelow, Phys. Rev. A 61, 023602 (2000)

    Article  ADS  Google Scholar 

  48. T.-L. Ho, S.K. Yip, Phys. Rev. Lett. 84, 4031 (2000)

    Article  ADS  Google Scholar 

  49. M. Koashi, M. Ueda, Phys. Rev. Lett. 84, 1066 (2000)

    Article  ADS  Google Scholar 

  50. H. Pu, W. Zhang, P. Meystre, Phys. Rev. Lett. 87, 140405 (2001)

    Article  ADS  Google Scholar 

  51. Y.X. Huang, Z. Sun, X.G. Wang, Phys. Rev. A 89, 043601 (2014)

    Article  ADS  Google Scholar 

  52. W. Zhang, H. Pu, C. Search, P. Meystre, Phys. Rev. Lett. 88, 060401 (2002)

    Article  ADS  Google Scholar 

  53. H. Pu, W. Zhang, P. Meystre, Phys. Rev. Lett. 89, 090401 (2002)

    Article  ADS  Google Scholar 

  54. K. Gross, C.P. Search, H. Pu, W. Zhang, P. Meystre, Phys. Rev. A 66, 033603 (2002)

    Article  ADS  Google Scholar 

  55. Y.X. Huang, Y.B. Zhang, R. Lü, X.G. Wang, S. Yi, Phys. Rev. A 86, 043625 (2012)

    Article  ADS  Google Scholar 

  56. Ö.E. Müstecaploǧlu, M. Zhang, L. You, Phys. Rev. A 71, 053616 (2005)

    Article  ADS  Google Scholar 

  57. Ö.E. Müstecaploǧlu, Wenxian Zhang, L. You, Phys. Rev. A 75, 023605 (2007)

    Article  ADS  Google Scholar 

  58. Ran Qi, Xiao-Lu Yu, Z.B. Li, W.M. Liu, Phys. Rev. Lett. 102, 185301 (2009)

    Article  ADS  Google Scholar 

  59. B. Juliá-Díaz, M. Melé-Messeguer, M. Guilleumas, A. Polls, Phys. Rev. A 80, 043622 (2009)

    Article  ADS  Google Scholar 

  60. S. Yi, L. You, H. Pu, Phys. Rev. Lett. 93, 040403 (2004)

    Article  ADS  Google Scholar 

  61. A. Imambekov, M. Lukin, E. Demler, Phys. Rev. A 68, 063602 (2003)

    Article  ADS  Google Scholar 

  62. D.V. Averin, A.B. Zorin, K.K. Likharev, Sov. Phys. J. Exp. Theor. Phys. 61, 407 (1985)

    Google Scholar 

  63. P. Lafarge, H. Pothier, E.R. Williams, D. Esteve, C. Urbina, M.H. Devoret, Z. Phys. B 85, 327 (1991)

    Article  ADS  Google Scholar 

  64. P. Lafarge, P. Joyez, D. Esteve, C. Urbina, M.H. Devoret, Nature 365, 422 (1993)

    Article  ADS  Google Scholar 

  65. R. Gati, M.K. Oberthaler, J. Phys. B 40, R61 (2007)

    Article  ADS  Google Scholar 

  66. D.V. Averin, T. Bergeman, P.R. Hosur, C. Bruder, Phys. Rev. A 78, 031601 (2008)

    Article  ADS  Google Scholar 

  67. P. Cheinet, S. Trotzky, M. Feld, U. Schnorrberger, M. Moreno-Cardoner, S. Folling, I. Bloch, Phys. Rev. Lett. 101, 090404 (2008)

    Article  ADS  Google Scholar 

  68. G. Ferrini, A. Minguzzi, F.W.J. Hekking, Phys. Rev. A 78, 023606 (2008)

    Article  ADS  Google Scholar 

  69. M. Rinck, C. Bruder, Phys. Rev. A 83, 023608 (2011)

    Article  ADS  Google Scholar 

  70. A. Wagner, C. Bruder, E. Demler, Phys. Rev. A 84, 063636 (2011)

    Article  ADS  Google Scholar 

  71. A.J. Hoffman, S.J. Srinivasan, S. Schmidt, L. Spietz, J. Aumentado, H.E. Türeci, A.A. Houck Phys. Rev. Lett. 107, 053602 (2011)

    Article  ADS  Google Scholar 

  72. A.D. Greentree, C. Tahan, J.H. Cole, L.C.L. Hollenberg, Nat. Phys. 2, 856 (2006)

    Article  Google Scholar 

  73. M.J. Hartmann, F.G.S.L. Brandão, M.B. Plenio, Nat. Phys. 2, 849 (2006)

    Article  Google Scholar 

  74. D.G. Angelakis, M.F. Santos, S. Bose, Phys. Rev. A 76, 031805 (2007)

    Article  ADS  Google Scholar 

  75. D. Rossini, R. Fazio, Phys. Rev. Lett. 99, 186401 (2007)

    Article  ADS  Google Scholar 

  76. M.J. Hartmann, F.G.S.L. Brandão, M.B. Plenio, Laser Photon. Rev. 2, 527 (2008)

    Article  Google Scholar 

  77. C.W.J. Beenakker, Phys. Rev. B 44, 1646 (1991)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yixiao Huang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, Y., Wang, X., Sun, Z. et al. Quantum tunneling and entanglement of dipolar spin-1 bosons in double well potentials. Eur. Phys. J. D 69, 181 (2015). https://doi.org/10.1140/epjd/e2015-50814-4

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2015-50814-4

Keywords

Navigation