The European Physical Journal D

, Volume 49, Issue 2, pp 161–165 | Cite as

Scattering effect of atoms through a Bose-Einstein condensate in an optical Lattice with a single defect

  • C. X. Zhang
  • B. Zhou
  • Y. H. Nie
  • J. Q. Liang
  • J. Liu
Article
  • 56 Downloads

Abstract

We study the transport of atoms across a localized Bose-Einstein condensate in an onedimensional optical lattice with a single defect. Our analytical and numerical results show that the defect as well as the nonlinear parameter can control the transmission of the atoms beam and the position of total reflection caused by Fano resonance. These interesting features may be a very useful basis for devising tunable atom filters or a button.

PACS

03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations 05.45.-a Nonlinear dynamics and chaos 05.60.Gg Quantum transport 42.25.Bs Wave propagation, transmission and absorption 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001)CrossRefADSGoogle Scholar
  2. 2.
    J.W. Halley, C.E. Campbell, C.F. Giese, K. Goetz, Phys. Rev. Lett. 71, 2429 (1993)CrossRefADSGoogle Scholar
  3. 3.
    A. Wynveen, A. Setty, A. Howard, J.W. Halley, C.E. Campbell, Phys. Rev. A 62, 023602 (2000)CrossRefADSGoogle Scholar
  4. 4.
    U.V. Poulsen, K. Molmer, Phys. Rev. A 67, 013610 (2003)CrossRefADSGoogle Scholar
  5. 5.
    T. Paul, K. Richter, P. Schlagheck, Phys. Rev. Lett. 94, 020404 (2005)CrossRefADSGoogle Scholar
  6. 6.
    Y. Kagan, D.L. Kovrizhin, L.A. Maksimov, Phys. Rev. Lett. 90, 130402 (2003)CrossRefADSGoogle Scholar
  7. 7.
    R.A. Vicencio, J. Brand, S. Flach, Phys. Rev. Lett. 98, 184102 (2007)CrossRefADSGoogle Scholar
  8. 8.
    U. Fano, Phys. Rev. 124, 1866 (1961)MATHCrossRefADSGoogle Scholar
  9. 9.
    W. Hänsel, P. Hommelhoff, T.W. Hänsch, J. Reichel, Nature 413, 498 (2001); H. Ott, J. Fortagh, G. Schlotterbeck, A. Grossmann, C. Zimmermann, Phys. Rev. Lett. 87, 230401 (2001)CrossRefADSGoogle Scholar
  10. 10.
    R. Dumke, T. Müther, M. Volk, W. Ertmer, G. Birkl, Phys. Rev. Lett. 89, 220402 (2002)CrossRefADSGoogle Scholar
  11. 11.
    E. Tiesinga, B.J. Verhaar, H.T.C. Stoof, Phys. Rev. A 47, 4114 (1993); S. Inouye et al., Nature 392, 151 (1998)CrossRefADSGoogle Scholar
  12. 12.
    P.O. Fedichev, Y. Kagan, G.V. Shlyapnikov, J.T.M. Walraven, Phys. Rev. Lett. 77, 2913 (1996); M. Theis et al., Phys. Rev. Lett. 93, 123001 (2004)CrossRefADSGoogle Scholar
  13. 13.
    A. Trombettoni, A. Smerzi, A.R. Bishop, Phys. Rev. Lett. 88, 173902 (2002)CrossRefADSGoogle Scholar
  14. 14.
    M.R. Andrews et al., Phys. Rev. Lett. 79, 553 (1997)CrossRefADSGoogle Scholar
  15. 15.
    C. Fort et al., Phys. Rev. Lett. 95, 170410 (2005)CrossRefADSGoogle Scholar
  16. 16.
    J.E. Lye et al., Phys. Rev. Lett. 95, 070401 (2005)CrossRefADSGoogle Scholar
  17. 17.
    D. Clément et al., Phys. Rev. Lett. 95, 170409 (2005)CrossRefADSGoogle Scholar
  18. 18.
    T. Schulte et al., Phys. Rev. Lett. 95, 170411 (2005)CrossRefADSGoogle Scholar
  19. 19.
    L. Fallani et al., Phys. Rev. Lett. 98, 130404 (2007)CrossRefADSGoogle Scholar
  20. 20.
    N. Bar-Gill et al. (2006) Arxiv: cond-mat/0603513Google Scholar
  21. 21.
    A. Trombettoni, A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001)CrossRefADSGoogle Scholar
  22. 22.
    M. Greiner et al., Nature 415, 39 (2002)CrossRefADSGoogle Scholar
  23. 23.
    S. Flach, A.E. Miroshnichenko, V. Fleurov, M.V. Fistul, Phys. Rev. Lett. 90, 084101 (2003)CrossRefADSGoogle Scholar
  24. 24.
    J. Denschlag et al., Science 287, 97 (2000)CrossRefADSGoogle Scholar
  25. 25.
    A.E. Miroshnichenko, S.F. Mingaleev, S. Flach, Y.S. Kivshar, Phys. Rev. E 71, 036626 (2005)CrossRefADSMathSciNetGoogle Scholar
  26. 26.
    G.P. Tsironis, M.I. Molina, D. Hennig, Phys. Rev. E 50, 2365 (1994)CrossRefADSGoogle Scholar

Copyright information

© Springer 2008

Authors and Affiliations

  • C. X. Zhang
    • 1
    • 2
    • 3
  • B. Zhou
    • 2
    • 4
  • Y. H. Nie
    • 3
  • J. Q. Liang
    • 3
  • J. Liu
    • 5
  1. 1.Physical DepartmentZhejiang Ocean UniversityZhoushanP.R. China
  2. 2.Department of Physics, and Center for Theoretical and Computational PhysicsThe University of Hong KongHong KongP.R. China
  3. 3.Institute of Theoretical Physics and Department of PhysicsShanxi UniversityShanxiP.R. China
  4. 4.Department of PhysicsHubei UniversityWuhanP.R. China
  5. 5.Institute of Applied Physics and Computational MathematicsBeijingP.R. China

Personalised recommendations