Abstract.
We extend the theory for laser cooling in a near-resonant optical lattice to include multiple excited hyperfine states. Simulations are performed treating the external degrees of freedom of the atom, i.e., position and momentum, classically, while the internal atomic states are treated quantum mechanically, allowing for arbitrary superpositions. Whereas theoretical treatments including only a single excited hyperfine state predict that the temperature should be a function of lattice depth only, except close to resonance, experiments have shown that the minimum temperature achieved depends also on the detuning from resonance of the lattice light. Our results resolve this discrepancy.
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References
H.J. Metcalf, P. van der Straten, Laser cooling and trapping (Springer, New York, 1999)
C.J. Pethick, H. Smith, Bose-Einstein condensation in dilute gases (Cambridge University Press, Cambridge, 2002)
R. Wynards, W. Weyers, Metrologica 42, S64 (2005)
P.S. Jessen, I.H. Deutsch, Adv. At. Mol. Opt. Phys. 37, 95 (1996)
G. Grynberg, C. Robillard, Phys. Rep. 355, 335 (2001)
P. Lett, R. Watts, C. Westbrook, W.D. Phillips, P. Gould, H. Metcalf, Phys. Rev. Lett. 61, 169 (1988)
J. Dalibard, C. Cohen-Tannoudji, J. Opt. Soc. Am. B 6, 2023 (1989)
P.J. Ungar, D.S. Weiss, E. Riis, S. Chu, J. Opt. Soc. Am. B 6, 2058 (1989)
K.I. Petsas, G. Grynberg, J.-Y. Courtois, Eur. Phys. J. D 6, 29 (1999)
S. Jonsell, C.M. Dion, M. Nylén, S.J.H. Petra, P. Sjölund, A. Kastberg, Eur. Phys. J. D 39, 3889 (2006)
Y. Castin, J. Dalibard, Europhys. Lett. 14, 761 (1991)
J. Dalibard, Y. Castin, K. Mølmer, Phys. Rev. Lett. 68, 580 (1992)
L. Sanchez-Palencia, P. Horak, G. Grynberg, Eur. Phys. J. D 18, 353 (2002)
J. Jersblad, H. Ellmann, A. Kastberg, Phys. Rev. A 62, 051401 (R) (2000)
H. Ellmann, J. Jersblad, A. Kastberg, Eur. Phys. J. D 13, 379 (2001)
F.-R. Carminati, M. Schiavoni, L. Sanchez-Palencia, F. Renzoni, G. Grynberg, Eur. Phys. J. D 17, 249 (2001)
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
H. Risken, The Fokker-Planck Equation, 2nd edn. (Springer, Berlin, 1996)
D.A. Steck, Cesium D Line Data, http://steck.us/alkalidata
S. Marksteiner, K. Ellinger, P. Zoller, Phys. Rev. A 53, 3409 (1996)
J. Jersblad, H. Ellmann, K. Støchkel, A. Kastberg, L. Sanchez-Palencia, R. Kaiser, Phys. Rev. A 69, 013410 (2004)
C.M. Dion, P. Sjölund, S.J.H. Petra, S. Jonsell, A. Kastberg, Europhys. Lett. 72, 369 (2005)
E. Lutz, Phys. Rev. Lett. 93, 190602 (2004)
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Svensson, F., Jonsell, S. & Dion, C. Simulations of Sisyphus cooling including multiple excited states. Eur. Phys. J. D 48, 235–240 (2008). https://doi.org/10.1140/epjd/e2008-00080-8
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DOI: https://doi.org/10.1140/epjd/e2008-00080-8