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Dissipation effect in the double-well Bose-Einstein condensate

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Abstract

Dynamics of the double-well Bose-Einstein condensate subject to energy dissipation is studied by solving a reduced one-dimensional time-dependent Gross-Pitaevskii equation numerically. We first reproduce the phase space diagram of the system without dissipation systematically, and then calculate evolutionary trajectories of dissipated systems. It is clearly shown that the dissipation can drive the system to evolve gradually from the π-mode quantum macroscopic self-trapping state, a state with relatively higher energy, to the lowest energy stationary state in which particles distribute equally in the two wells. The average phase and phase distribution in each well are discussed as well. We show that the phase distribution varies slowly in each well but may exhibit abrupt changes near the barrier. This sudden change occurs at the minimum position in particle density profile. We also note that the average phase in each well varies much faster with time than the phase difference between two wells.

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References

  1. J. Javanainen, Phys. Rev. Lett. 57, 3164 (1986)

    Article  ADS  Google Scholar 

  2. M.W. Jack, M.J. Collett, D.F. Walls, Phys. Rev. A 54, R4625 (1996)

    Article  ADS  Google Scholar 

  3. I. Zapata, F. Sols, A.J. Leggett, Phys. Rev. A 57, R28 (1998)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. S. Giovanazzi, A. Smerzi, S. Fantoni, Phys. Rev. Lett. 84, 4521 (2000)

    Article  ADS  Google Scholar 

  7. G.J. Milburn, J. Corney, E.M. Wright, D.F. Walls, Phys. Rev. A 55, 4318 (1997)

    Article  ADS  Google Scholar 

  8. M.J. Steel, M.J. Collett, Phys. Rev. A 57, 2920 (1998)

    Article  ADS  Google Scholar 

  9. A. Vardi, J.R. Anglin, Phys. Rev. Lett. 86, 568 (2001)

    Article  ADS  Google Scholar 

  10. J.R. Anglin, A. Vardi, Phys. Rev. A 64, 013605 (2001)

    Article  ADS  Google Scholar 

  11. K. Sakmann, A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. Lett. 103, 220601 (2009)

    Article  ADS  Google Scholar 

  12. M. Trujillo-Martinez, A. Posazhennikova, J. Kroha, Phys. Rev. Lett. 103, 105302 (2009)

    Article  ADS  Google Scholar 

  13. E. Boukobza, M. Chuchem, D. Cohen, A. Vardi, Phys. Rev. Lett. 102, 180403 (2009)

    Article  ADS  Google Scholar 

  14. E. Boukobza, D. Cohen, A. Vardi, Phys. Rev. A 80, 053619 (2009)

    Article  ADS  Google Scholar 

  15. B. Juliá-Díaz, D. Dagnino, M. Lewenstein, J. Martorell, A. Polls, Phys. Rev. A 81, 023615 (2010)

    Article  ADS  Google Scholar 

  16. B. Juliá-Díaz, J. Martorell, M. Melé-Messeguer, A. Polls, Phys. Rev. A 82, 063626 (2010)

    Article  ADS  Google Scholar 

  17. J. Ruostekoski, D.F. Walls, Phys. Rev. A 58, R50 (1998)

    Article  ADS  Google Scholar 

  18. I. Zapata, F. Sols, A.J. Leggett, Phys. Rev. A 67, 021603 (2003)

    Article  ADS  Google Scholar 

  19. D. Witthaut, F. Trimborn, S. Wimberger, Phys. Rev. Lett. 101, 200402 (2008)

    Article  ADS  Google Scholar 

  20. D. Witthaut, F. Trimborn, S. Wimberger, Phys. Rev. A 79, 033621 (2009)

    Article  ADS  Google Scholar 

  21. S. Diehl, A. Micheli, A. Kantian, B. Kraus, H.P. Büchler, P. Zoller, Nat. Phys. 4, 878 (2008)

    Article  Google Scholar 

  22. M.R. Andrews, C.G. Townsend, H.-J. Miesner, D.S. Durfee, D.M. Kurn, W. Ketterle, Science 275, 637 (1997)

    Article  Google Scholar 

  23. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, M.K. Oberthaler, Phys. Rev. Lett. 95, 010402 (2005)

    Article  ADS  Google Scholar 

  24. R. Gati, M.K. Oberthaler, J. Phys. B: At. Mol. Opt. Phys. 40, R61 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  27. D. Ananikian, T. Bergeman, Phys. Rev. A 73, 013604 (2006)

    Article  ADS  Google Scholar 

  28. M. Melé-Messeguer, B. Juliá-Díaz, M. Guilleumas, A. Polls, A. Sanpera, New J. Phys. 13, 033012 (2011)

    Article  ADS  Google Scholar 

  29. Y. Cai, M. Rosenkranz, Z. Lei, W. Bao, Phys. Rev. A 82, 043623 (2010)

    Article  ADS  Google Scholar 

  30. P. Muruganandam, S.K. Adhikari, Comput. Phys. Commun. 180, 1888 (2009)

    Article  ADS  Google Scholar 

  31. S. Choi, S.A. Morgan, K. Burnett, Phys. Rev. A 57, 4057 (1998)

    Article  ADS  Google Scholar 

  32. E. Zaremba, T. Nikuni, A. Griffin, J. Low Temp. Phys. 116, 277 (1999)

    Article  ADS  Google Scholar 

  33. M. Tsubota, K. Kasamatsu, M. Ueda, Phys. Rev. A 65, 023603 (2002)

    Article  ADS  Google Scholar 

  34. K. Kasamatsu, M. Tsubota, M. Ueda, Phys. Rev. A 67, 033610 (2003)

    Article  ADS  Google Scholar 

  35. H. Saito, M. Ueda, Phys. Rev. A 70, 053610 (2004)

    Article  ADS  Google Scholar 

  36. L. Wen, H. Xiong, B. Wu, Phys. Rev. A 82, 053627 (2010)

    Article  ADS  Google Scholar 

  37. S.P. Cockburn, H.E. Nistazakis, T.P. Horikis, P.G. Kevrekidis, N.P. Proukakis, D.J. Frantzeskakis, Phys. Rev. A 84, 043640 (2011)

    Article  ADS  Google Scholar 

  38. I. Marino, S. Raghavan, S. Fantoni, S.R. Shenoy, A. Smerzi, Phys. Rev. A 60, 487 (1999)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Science and Technology Beijing, Beijing, 100083, P.R. China

    H.L. Zheng, Y.J. Hao & Q. Gu

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  1. H.L. Zheng
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  2. Y.J. Hao
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  3. Q. Gu
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Correspondence to Q. Gu.

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Zheng, H., Hao, Y. & Gu, Q. Dissipation effect in the double-well Bose-Einstein condensate. Eur. Phys. J. D 66, 320 (2012). https://doi.org/10.1140/epjd/e2012-30410-0

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