Skip to main content
SpringerLink
Log in

Quantum coherent tunneling between two atomic-molecular Bose-Einstein condensates

  • Published:
The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract.

We study the quantum coherent tunneling dynamics of two weakly coupled atomic-molecular Bose-Einstein condensates (AMBEC). A weak link is supposed to be provided by a double-well trap. The regions of parameters where the macroscopic quantum localization of the relative atomic population occurs are revealed. The different dynamical regimes are found depending on the value of nonlinearity, namely, coupled oscillations of population imbalance of atomic and molecular condensate, including irregular oscillations regions, and macroscopic quantum self trapping regimes. Quantum means and quadrature variances are calculated for population of atomic and molecular condensates and the possibility of quadrature squeezing is shown via stochastic simulations within P-positive phase space representation method. Linear tunnel coupling between two AMBEC leads to correlations in quantum statistics.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)

    Google Scholar 

  2. K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995)

    Google Scholar 

  3. C.C. Bradley, C.A. Sackett, R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995); 78, 985 (1997)

    Google Scholar 

  4. E. Timmermans, P. Tommasini, R. Côte, M. Hussein, A. Kerman, Phys. Rev. Lett. 83, 2691 (1999); E. Timmermans, P. Tommasini, M. Hussein, A. Kerman, Phys. Rep. 315, 199 (1999)

    Google Scholar 

  5. F.A. van Abeelen, B.J. Verhaar, Phys. Rev. Lett. 83, 1550 (1999)

    Google Scholar 

  6. P. Drummond, K.V. Kheruntsyan, H. He, Phys. Rev. Lett. 81, 3055 (1999); D.J. Heinzen, Roahn Wynar, P.D. Drummond, K.V. Kheruntsyan, Phys. Rev. Lett. 84, 5029 (2000)

    Google Scholar 

  7. R. Duine, H.T.C. Stoof, Phys. Rep. 396, 115 (2004)

    Article  Google Scholar 

  8. R. Wynar, R.S. Freeland, D.J. Han, C. Ryu, D.J. Heinzen, Science 287, 1016 (2000)

    Article  Google Scholar 

  9. E. Donley, N. Claussen, S. Thomson, C. Wieman, Nature 417, 529 (2002)

    Article  Google Scholar 

  10. B.J. Cusack, T.J. Alexander, E.A. Ostrovskaya, Y.S. Kivshar, Phys. Rev. A 65, 013609 (2002)

    Article  Google Scholar 

  11. V.V. Steblina, Yu.S. Kivshar, M. Lisak, B. Malomed, Opt. Commun. 118, 345 (1995)

    Article  Google Scholar 

  12. M. Mackie, R. Kowalski, J. Javanainen, Phys. Rev. Lett. 84, 5029 (2000)

    Article  Google Scholar 

  13. S.J.J.M.F. Kokkelmans, H.M.J. Vissers, B.J. Verhaar, Phys. Rev. A 63, 031601(R) (2001)

    Article  Google Scholar 

  14. U.V. Poulsen, K. Molmer, Phys. Rev. 63, 023604 (2001)

    Article  Google Scholar 

  15. J.J. Hope, M.K. Olsen, L.I. Plimak, Phys. Rev. A 63, 043603 (2001)

    Article  Google Scholar 

  16. J.J. Hope, M.K. Olsen, Phys. Rev. Lett. 86, 3220 (2001)

    Google Scholar 

  17. Bambi Hu, Le Man-Kuang, Phys. Rev. A 62, 023610 (2000)

    Article  Google Scholar 

  18. K. Goral, M. Gajda, K. Rzazewski, Phys. Rev. Lett. 86, 1397 (2001)

    Google Scholar 

  19. M. Holland, J. Park, R. Walser, Phys. Rev. Lett. 86, 1915 (2001)

    Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

  22. F. Dalfovo, L. Pitaevski, S. Stringari, Phys. Rev. A 54, 4213 (1996)

    Article  Google Scholar 

  23. A. Barone, B. Paterno, Physics and Applications of the Josephson Effect (Wiley, New York, 1982)

  24. S.M. Jensen, IEEE J. Quant. Electron. 18, 1580 (1982); A.A. Maier, Kvant. Elektron. 9, 2296 (1982)

    Article  MATH  Google Scholar 

  25. D. Marcuse, Theory of Optical Waveguides (Wiley, 1975)

  26. F.Kh. Abdullaev, R.M. Abrarov, S.A. Darmanyan, Opt. Lett. 14, 135 (1989)

    Google Scholar 

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

    Article  Google Scholar 

  28. D. Gordon, C.M. Savage, Phys. Rev. A 59, 4623 (1999); M.J.A. Imamo\=glu, M. Lewenstein, L. You, Phys. Rev. Lett. 78, 2511 (1997)

    Article  Google Scholar 

  29. A. Smerzi, S. Giovanazzi, S.R. Shenoy, Phys. Rev. Lett. 79, 4950 (1997); S. Raghavan, A. Smerzi, S. Fantoni, S.R. Shenoy, Phys. Rev. A 59, 620 (1999)

    Google Scholar 

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

  31. F.Kh. Abdullaev, R.A. Kraenkel, Phys. Rev. A 62, 023613 (2000)

    Article  Google Scholar 

  32. G. Assanto, G. Stegeman, M. Shiek-Bahae, E. Van Stryland, Appl. Phys. Lett. 62, 1323 (1993); G. Assanto, A. Laureti-Palma, C. Sibilia, M. Bertolotti, Opt. Commun. 110, 599 (1994)

    Article  Google Scholar 

  33. F.Kh. Abdullaev, R.A. Kraenkel, Phys. Lett. A 272, 395 (2000)

    Article  Google Scholar 

  34. C.W. Gardiner, Quantum Noise (Springer-Verlag, Berlin, 1991)

  35. A. Gilchrist, P.D. Drummond, C.W. Gardiner, Phys. Rev. A 55, 3014 (1997)

    Article  Google Scholar 

  36. M.A. Olsen, R.J. Horowicz, L.J. Plimak, N. Treps, C. Fabre, Phys. Rev. A 61, 021803(R) (2000)

    Article  Google Scholar 

  37. S. Kokkelmans, M. Holland, Phys. Rev. Lett. 89, 18040 (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physical-Technical Institute, Uzbek Academy of Sciences, G.Mavlyanov str. 2-b, 700084, Tashkent-84, Uzbekistan

    F. Kh Abdullaev & B. A. Umarov

  2. Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, Sõ Paulo, Brazil

    R. A. Kraenkel & B. A. Umarov

Authors
  1. F. Kh Abdullaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. R. A. Kraenkel
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. B. A. Umarov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F. Kh Abdullaev.

Additional information

Received: 22 May 2004, Published online: 10 August 2004

PACS:

03.75.-b Matter waves - 03.75.Gg Entanglement and decoherence in Bose-Einstein condensates - 03.75.Lm Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations - 05.30.Jp Boson systems

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abdullaev, F.K., Kraenkel, R.A. & Umarov, B.A. Quantum coherent tunneling between two atomic-molecular Bose-Einstein condensates. Eur. Phys. J. D 30, 369–377 (2004). https://doi.org/10.1140/epjd/e2004-00098-x

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2004-00098-x

Keywords

Search

Navigation