Advertisement

The European Physical Journal D

, Volume 63, Issue 1, pp 63–71 | Cite as

Decay of a Bose-Einstein condensate in a dissipative lattice – the mean-field approximation and beyond

  • F. Trimborn
  • D. WitthautEmail author
  • H. Hennig
  • G. Kordas
  • T. Geisel
  • S. Wimberger
Topical issue: Hybrid Quantum Systems – New Perspectives on Quantum State Control Regular Article

Abstract

The dynamical evolution of a Bose-Einstein condensate in an open optical lattice is studied. Based on the Bose-Hubbard model we rederive the mean-field limit for the case of an environmental coupling including dissipation and phase-noise. Moreover, we include the next order correlation functions to investigate the dynamical behavior beyond mean field. We observe that particle loss can lead to surprising dynamics, as it can suppress decay and at the same time restore the coherence of the condensate. These behavior can be used to engineer the evolution, e.g. in the form of a stochastic resonance-like response, to inhibit tunneling or to create stable nonlinear structures of the condensate.

Keywords

Phase Noise Optical Lattice Stochastic Resonance Dark Soliton Particle Loss 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, P. Zoller, Phys. Rev. Lett. 81, 3108 (1998)ADSCrossRefzbMATHGoogle Scholar
  2. 2.
    C. Bruder, R. Fazio, G. Schön, Ann. Phys. 14, 566 (2005)zbMATHCrossRefGoogle Scholar
  3. 3.
    M.J. Hartmann, F.G.S.L. Brandao, M.B. Plenio, New J. Phys. 10, 033011 (2008)ADSCrossRefGoogle Scholar
  4. 4.
    M. Leib, M.J. Hartmann, New J. Phys. 12, 093031 (2010)ADSCrossRefGoogle Scholar
  5. 5.
    M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, I. Bloch, Nature 415, 39 (2002)ADSCrossRefGoogle Scholar
  6. 6.
    W.S. Bakr, J.I. Gillen, A. Peng, S. Fölling, M. Greiner, Nature 462, 74 (2009)ADSCrossRefGoogle Scholar
  7. 7.
    J.F. Sherson, C. Weitenberg, M. Endres, M. Cheneau, I. Bloch, S. Kuhr, Nature 467, 68 (2010)ADSCrossRefGoogle Scholar
  8. 8.
    T. Gericke, P. Würtz, D. Reitz, T. Langen, H. Ott, Nature Phys. 4, 949 (2008)ADSCrossRefGoogle Scholar
  9. 9.
    P. Würtz, T. Langen, T. Gericke, A. Koglbauer, H. Ott, Phys. Rev. Lett. 103, 080404 (2009)CrossRefGoogle Scholar
  10. 10.
    K.J. Vahala, Nature 424, 839 (2003)ADSCrossRefGoogle Scholar
  11. 11.
    N. Syassen, D.M. Bauer, M. Lettner, T. Volz, D. Dietze, J.J. Garcia-Ripoll, J.I. Cirac, G. Rempe, S. Dürr, Science 320, 1329 (2008)ADSCrossRefGoogle Scholar
  12. 12.
    D. Witthaut, F. Trimborn, S. Wimberger, Phys. Rev. Lett. 101, 200402 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    S. Diehl, A. Micheli, A. Kantian, B. Kraus, H.P. Büchler, P. Zoller, Nature Phys. 4, 878 (2008)ADSCrossRefGoogle Scholar
  14. 14.
    B. Kraus, H.P. Büchler, S. Diehl, A. Kantian, A. Micheli, P. Zoller, Phys. Rev. A 78, 042307 (2008)ADSCrossRefGoogle Scholar
  15. 15.
    S. Diehl, A. Tomadin, A. Micheli, R. Fazio, P. Zoller, Phys. Rev. Lett. 105, 015702 (2010)ADSCrossRefGoogle Scholar
  16. 16.
    F. Verstraete, M.M. Wolf, J.I. Cirac, Nature Phys. 5, 633 (2009)ADSCrossRefGoogle Scholar
  17. 17.
    A. Vardi, J.R. Anglin, Phys. Rev. Lett. 86, 568 (2001)ADSCrossRefGoogle Scholar
  18. 18.
    J.R. Anglin, A. Vardi, Phys. Rev. A 64, 013605 (2001)ADSCrossRefGoogle Scholar
  19. 19.
    I. Tikhonenkov, J.R. Anglin, A. Vardi, Phys. Rev. A 75, 013613 (2007)ADSCrossRefGoogle Scholar
  20. 20.
    P. Barmettler, C. Kollath, arXiv:1012.0422Google Scholar
  21. 21.
    J. Dalibard, Y. Castin, K. Mølmer, Phys. Rev. Lett. 68, 580 (1992)ADSCrossRefGoogle Scholar
  22. 22.
    K. Mølmer, Y. Castin, J. Dalibard, J. Opt. Soc. Am. B 10, 524 (1993)ADSCrossRefGoogle Scholar
  23. 23.
    H.J. Carmichael, An Open Systems Approach to Quantum Optics (Springer, Berlin, 1993)Google Scholar
  24. 24.
    R. Livi, R. Franzosi, G.-L. Oppo, Phys. Rev. Lett. 97, 060401 (2006)ADSCrossRefGoogle Scholar
  25. 25.
    V.A. Brazhnyi, V.V. Konotop, V.M. Pérez-García, H. Ott, Phys. Rev. Lett. 102, 144101 (2009)ADSCrossRefGoogle Scholar
  26. 26.
    G.S. Ng, H. Hennig, R. Fleischmann, T. Kottos, T. Geisel, New J. Phys. 11, 073045 (2009)ADSCrossRefGoogle Scholar
  27. 27.
    J.R. Anglin, Phys. Rev. Lett. 79, 6 (1997)ADSCrossRefGoogle Scholar
  28. 28.
    J. Ruostekoski, D.F. Walls, Phys. Rev. A 58, R50 (1998)ADSCrossRefGoogle Scholar
  29. 29.
    H. Pichler, A.J. Daley, P. Zoller, Phys. Rev. A 82, 063605 (2010)ADSCrossRefGoogle Scholar
  30. 30.
    I. Bloch, T.W. Hänsch, T. Esslinger, Phys. Rev. Lett. 82, 3008 (1999)ADSCrossRefGoogle Scholar
  31. 31.
    C.W. Gardiner, P. Zoller, Quantum Noise (Springer Series in Synergetics, Berlin, 2004)Google Scholar
  32. 32.
    Yun Li, Y. Castin, A. Sinatra, Phys. Rev. Lett. 100, 210401 (2008)ADSCrossRefGoogle Scholar
  33. 33.
    J.J. Garcia-Ripoll, S. Dürr, N. Syassen, D.M. Bauer, M. Lettner, G. Rempe, J.I. Cirac, New J. Phys. 11, 013053 (2009)ADSCrossRefGoogle Scholar
  34. 34.
    F. Trimborn, D. Witthaut, H.J. Korsch, Phys. Rev. A 79, 013608 (2009)ADSCrossRefGoogle Scholar
  35. 35.
    F. Trimborn, D. Witthaut, H.J. Korsch, Phys. Rev. A 77, 043631 (2008)ADSCrossRefGoogle Scholar
  36. 36.
    A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001)ADSCrossRefGoogle Scholar
  37. 37.
    F. Trimborn, D. Witthaut, S. Wimberger, J. Phys. B At. Mol. Opt. Phys. 41, 171001 (2008)ADSCrossRefGoogle Scholar
  38. 38.
    D. Witthaut, F. Trimborn, S. Wimberger, Phys. Rev. A 79, 033621 (2009)ADSCrossRefGoogle Scholar
  39. 39.
    A. Smerzi, S. Fantoni, S. Giovanazzi, S. Shenoy, Phys. Rev. Lett. 79, 4950 (1997)ADSCrossRefGoogle Scholar
  40. 40.
    M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, M.K. Oberthaler, Phys. Rev. Lett. 95, 010402 (2005)ADSCrossRefGoogle Scholar
  41. 41.
    T. Zibold, E. Nicklas, C. Gross, M.K. Oberthaler, Phys. Rev. Lett. 105, 204101 (2010)ADSCrossRefGoogle Scholar
  42. 42.
    J.I. Cirac, A. Schenzle, P. Zoller, Europhys. Lett. 27, 123 (1994)ADSCrossRefGoogle Scholar
  43. 43.
    L. Gammaitoni, P. Hänggi, P. Jung, F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998)ADSCrossRefGoogle Scholar
  44. 44.
    T. Wellens, V. Shatokhin, A. Buchleitner, Rep. Prog. Phys. 67, 45 (2004)ADSCrossRefGoogle Scholar
  45. 45.
    D.K. Campbell, S. Flach, Y.S. Kivshar, Phys. Today 57, 43 (2004)ADSCrossRefGoogle Scholar
  46. 46.
    A. Trombettoni, A. Smerzi, Phys. Rev. Lett. 86, 2353 (2000)ADSCrossRefGoogle Scholar
  47. 47.
    S. Flach, A.V. Gorbach, Phys. Rep. 467, 1 (2008)ADSCrossRefGoogle Scholar
  48. 48.
    H. Hennig, J. Dorignac, D.K. Campbell, Phys. Rev. A 82, 053604 (2010)ADSCrossRefGoogle Scholar
  49. 49.
    J. Denschlag, J.E. Simsarian, D.L. Feder, C.W. Clark, L.A. Collins, J. Cubizolles, L. Deng, E.W. Hagley, K. Helmerson, W.P. Reinhardt, S.L. Rolston, B.I. Schneider, W.D. Phillips, Science 287, 97 (2000)ADSCrossRefGoogle Scholar
  50. 50.
    S. Hofferberth, I. Lesanovsky, T. Schumm, A. Imambekov, V. Gritsev, E. Demler, J. Schmiedmayer, Nature Phys. 4, 489 (2008)ADSCrossRefGoogle Scholar
  51. 51.
    D. Cano, B. Kasch, H. Hattermann, R. Kleiner, C. Zimmermann, D. Koelle, J. Fortágh, Phys. Rev. Lett. 101, 183006 (2008)ADSCrossRefGoogle Scholar
  52. 52.
    D. Hunger, S. Camerer, T.W. Hänsch, D. König, J.P. Kotthaus, J. Reichel, P. Treutlein, Phys. Rev. Lett. 104, 143002 (2010)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • F. Trimborn
    • 1
  • D. Witthaut
    • 2
    • 3
    Email author
  • H. Hennig
    • 2
  • G. Kordas
    • 4
  • T. Geisel
    • 2
  • S. Wimberger
    • 4
  1. 1.Institut für theoretische Physik, Leibniz Universität HannoverHannoverGermany
  2. 2.Max Planck Institute for Dynamics and Self-OrganizationGöttingenGermany
  3. 3.QUANTOP, The Niels Bohr Institute, University of CopenhagenCopenhagenDenmark
  4. 4.Institut für theoretische Physik, Universität HeidelbergHeidelbergGermany

Personalised recommendations