Skip to main content
SpringerLink
Log in

A nonadiabatic semi-classical method for dynamics of atoms in optical lattices

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

Abstract.

We develop a semi-classical method to simulate the motion of atoms in a dissipative optical lattice. Our method treats the internal states of the atom quantum mechanically, including all nonadiabatic couplings, while position and momentum are treated as classical variables. We test our method in the one-dimensional case. Excellent agreement with fully quantum mechanical simulations is found. Our results are much more accurate than those of earlier semi-classical methods based on the adiabatic approximation.

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

  • P. Lett, R. Watts, C. Westbrook, W.D. Phillips, P. Gould, H. Metcalf, Phys. Rev. Lett. 61, 169 (1988)

    Article  ADS  Google Scholar 

  • P. Jessen, I. Deutsch, Adv. At. Mol. Phys. 37, 95 (1996)

    Google Scholar 

  • G. Grynberg, C. Robilliard, Phys. Rep. 355, 335 (2001)

    Article  ADS  Google Scholar 

  • I. Bloch, Nature Phys. 1, 23 (2005)

    Article  ADS  Google Scholar 

  • C. Monroe, Nature 416, 238 (2002)

    Article  ADS  Google Scholar 

  • J. Dalibard, C. Cohen-Tannoudji, J. Opt. Soc. Am. B 6, 2023 (1989)

    Article  ADS  Google Scholar 

  • P.J. Ungar, D.S. Weiss, E. Riis, S. Chu, J. Opt. Soc. Am. B 6, 2058 (1989)

    ADS  Google Scholar 

  • K. Mølmer, Phys. Rev. A 44, 5820 (1991)

    Article  ADS  Google Scholar 

  • J. Javanainen, Phys. Rev. A 46, 5819 (1992)

    Article  ADS  Google Scholar 

  • K.I. Petsas, G. Grynberg, J.-Y. Courtois, Eur. Phys. J. D 6, 29 (1999)

    Article  ADS  Google Scholar 

  • Y. Castin, J. Dalibard, Europhys. Lett. 14, 761 (1991)

    ADS  Google Scholar 

  • J. Dalibard, Y. Castin, K. Mølmer, Phys. Rev. Lett. 68, 580 (1992)

    Article  ADS  Google Scholar 

  • J. Jersblad, H. Ellman, L. Sanchez-Palencia, A. Kastberg, Eur. Phys. J. D 22, 333 (2003)

    ADS  Google Scholar 

  • C. Cohen-Tannoudji, in Fundamental systems in Quantum Optics, Les Houches summer school of theoretical physics 1990, session LIII, edited by J. Dalibard, J.M. Raimond, J. Zinn-Justin (Elsevier Science Publishers, Amsterdam, 1992), p. 1

  • E.P. Wigner, Phys. Rev. 40, 749 (1932)

    Article  MATH  ADS  Google Scholar 

  • J. Dalibard, C. Cohen-Tannoudji, J. Phys. B: At. Mol. Phys. 18, 1661 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  • H. Risken, The Fokker-Planck Equation, 2nd edn. (Springer, Berlin, 1996)

  • R.L. Honeycutt, Phys. Rev. A 45, 600 (1992)

    Article  ADS  Google Scholar 

  • A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1995)

  • D.A. Steck, Cesium D Line Data, http://steck.us/alkalidata

  • C.M. Dion, P. Sjölund, S.J.H. Petra, S. Jonsell, A. Kastberg, Europhys. Lett. 71, 369 (2005)

    Article  ADS  Google Scholar 

  • H. Ellmann, J. Jersblad, A. Kastberg, Phys. Rev. Lett. 90, 053001 (2003); H. Ellmann, J. Jersblad, A. Kastberg, Eur. Phys. J. D 22, 355 (2003)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Umeå University, 901 87, Umeå, Sweden

    S. Jonsell, C. M. Dion, M. Nylén, S. J.H. Petra, P. Sjölund & A. Kastberg

Authors
  1. S. Jonsell
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. M. Dion
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Nylén
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. J.H. Petra
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. P. Sjölund
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. A. Kastberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. Jonsell.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jonsell, S., Dion, C., Nylén, M. et al. A nonadiabatic semi-classical method for dynamics of atoms in optical lattices. Eur. Phys. J. D 39, 67–74 (2006). https://doi.org/10.1140/epjd/e2006-00082-6

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjd/e2006-00082-6

PACS.

Search

Navigation