Abstract.
We have developed Monte Carlo wave function simulation schemes to study cold collisions between magnesium atoms in a strong red-detuned laser field. In order to address the strong-field problem, we extend the Monte Carlo wave function framework to include the partial wave structure of the three-dimensional system. The average heating rate due to radiative collisions is calculated with two different simulation schemes which are described in detail. We show that the results of the two methods agree and give estimates for the radiative collision heating rate for 24Mg atoms in a magneto-optical trap based on the 1S0–1P1 atomic laser cooling transition.
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References
H.J. Metcalf, P. van der Straten, J. Opt. Soc. Am. B 20, 887 (2003)
M.H. Anderson, J.H. Ensher, M.R. Mattews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995); 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); C.C. Bradley, C.A. Sackett, J.J. Tollett, R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995)
B. DeMarco, D.S. Jin, Science 285, 1703 (1999)
A.G. Truscott, K.E. Strecker, W.I. McAlexander, G. Partridge, R.G. Hulet, Science 291, 2570 (2001)
K.-A. Suominen, J. Phys. B 29, 5981 (1996)
J. Weiner, V.S. Bagnato, S. Zilio, P.S. Julienne, Rev. Mod. Phys. 71, 1 (1999)
C.J. Pethick, H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2001)
The scattering rate of photons sets the Doppler limit, which is 2 mK for the strong cooling transition 1S0–1P1 in magnesium, in comparison with the photon recoil limit, 10 μK. In alkali atoms the degeneracy of the ground state allows one to break the Doppler limit and reach the recoil limit with tools like Sisyphus cooling, but this will not work for the alkaline earth atoms that have no such degeneracy
F. Bardou, J.-P. Bouchard, A. Aspect, C. Cohen-Tannoudji, Lévy Statistics and Laser Cooling (Cambridge Univ. Press, Cambridge, 2002)
M. Kasevich, S. Chu, Phys. Rev. Lett. 69, 1741 (1992)
A. Gallagher, D.E. Pritchard, Phys. Rev. Lett. 63, 957 (1989)
P.S. Julienne, F. Mies, J. Opt. Soc. Am. B 6, 2257 (1989)
P.S. Julienne, J. Vigué, Phys. Rev. A 44, 4464 (1991)
K.-A. Suominen, Y.B. Band, I. Tuvi, K. Burnett, P.S. Julienne, Phys. Rev. A 57, 3724 (1998)
G. Hillenbrand, C.J. Foot, K. Burnett, Phys. Rev. A 50, 1479 (1994)
B.M. Garraway, K.-A. Suominen, Rep. Prog. Phys. 58, 365 (1995); B.M. Garraway, K.-A. Suominen, Contemp. Phys 43, 97 (2002)
H.J. Carmichael, Statistical Methods in Quantum Optics (Springer, Berlin, 2002), Vol. I
J. Dalibard, Y. Castin, K. Mølmer, Phys. Rev. Lett. 68, 580 (1992); K. Mølmer, Y. Castin, J. Dalibard, J. Opt. Soc. Am. B 10, 524 (1993)
M. Machholm, P.S. Julienne, K.-A. Suominen, Phys. Rev. A 64, 033425 (2001)
K. Sengstock, U. Sterr, J.H. Müller, V. Rieger, D. Bettermann, W. Ertmer, Appl. Phys. B 59, 99 (1994)
D.N. Madsen, J.W. Thomsen, J. Phys. B. 35, 2173 (2002)
J. Piilo, E. Lundh, K.-A. Suominen, Phys. Rev. A 70, 013410 (2004)
W.J. Meath, J. Chem. Phys. 48, 227 (1968)
W.J. Stevens, M. Krauss, J. Chem. Phys. 67, 1977 (1977)
E. Czuchaj, M. Krośnicki, H. Stoll, Theor. Chem. Acc. 107, 27 (2001)
M. Holland, K.-A. Suominen, K. Burnett, Phys. Rev. Lett. 72, 2367 (1994); M. Holland, K.-A. Suominen, K. Burnett, Phys. Rev. A 50, 1513 (1994)
In fact in simulations we also determine from which particular state j the collapse originated, and along which branch it took place, so after a jump only one ground state partial wave is occupied
J. Piilo, K.-A. Suominen, K. Berg-Sørensen, J. Phys. B 34, L231 (2001); Phys. Rev. A 65, 033411 (2002)
J. Piilo, K.-A. Suominen, Phys. Rev. A 66, 013401 (2002)
When the Landau-Zener process saturates and re-excitation dominates, we can assume the delayed decay model Suominen98, where the exponential decay starts only once the quasimolecule has reached the edge of the re-excitation zone. The location of this edge is roughly where |U(R)-U(RC)|≃Ω, so the energy increase obtained by the quasimolecule before the exponential decay is proportional to Ω.
X. Xu, T.H. Loftus, M.J. Smith, J.L. Hall, A. Gallagher, J. Ye, Phys. Rev. A 66, 011401(R) (2002)
F.Y. Loo, A. Brusch, S. Sauge, M. Allegrini, E. Arimondo, N. Andersen, J.W. Thomsen, J. Opt. B: Quant. Semiclass. Opt. 6, 81 (2004)
T. Chanelière, J.-L. Meunier, R. Kaiser, C. Miniatura, D. Wilkowski, J. Opt. Soc. Am. B 22, 1819 (2005)
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Piilo, J., Lundh, E. & Suominen, KA. Cold collisions in strong laser fields: partial wave analysis of magnesium collisions. Eur. Phys. J. D 40, 211–222 (2006). https://doi.org/10.1140/epjd/e2006-00147-6
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DOI: https://doi.org/10.1140/epjd/e2006-00147-6