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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 17, Iss. 4 — Apr. 1, 2000
  • pp: 497–506

Atomic density and temperature distributions in magneto-optical traps

A. S. Arnold and P. J. Manson  »View Author Affiliations


JOSA B, Vol. 17, Issue 4, pp. 497-506 (2000)
http://dx.doi.org/10.1364/JOSAB.17.000497


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Abstract

A theoretical investigation into density, pressure, and temperature distributions in magneto-optical traps is presented. After a brief overview of the forces that arise from reradiation and absorption, a condition that the absorptive force be conservative is used to show that, if the temperature is uniform throughout the trap, any density solutions to the force equations will not be physical. Further, consistent density solutions are unlikely to exist at all. In contrast, with a varying temperature reasonable solutions are demonstrated, with some restrictions. Doppler forces involved in ring-shaped trap structures are used to calculate orbit radii in racetrack geometry traps, and corrections to the present discrepancy between theoretical and experimental studies are discussed in the context of reradiation and diffusion.

© 2000 Optical Society of America

OCIS Codes
(020.7010) Atomic and molecular physics : Laser trapping
(140.3320) Lasers and laser optics : Laser cooling

Citation
A. S. Arnold and P. J. Manson, "Atomic density and temperature distributions in magneto-optical traps," J. Opt. Soc. Am. B 17, 497-506 (2000)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-17-4-497


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References

  1. E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987). [CrossRef] [PubMed]
  2. C. Monroe, W. Swann, H. Robinson, and C. Wieman, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574 (1990). [CrossRef] [PubMed]
  3. P. D. Lett, W. D. Phillips, S. L. Rolston, C. E. Tanner, R. N. Watts, and C. I. Westbrook, “Optical molasses,” J. Opt. Soc. Am. B 6, 2084–2107 (1989). [CrossRef]
  4. P. D. Lett, R. N. Watts, C. I. Westbrook, W. D. Phillips, P. L. Gould, and H. J. Metcalf, “Observation of atoms laser cooled below the Doppler limit,” Phys. Rev. Lett. 61, 169–172 (1988). [CrossRef] [PubMed]
  5. J. Dalibard and C. Cohen-Tannoudji, “Laser cooling below the Doppler limit by polarization gradients: simple theoretical models,” J. Opt. Soc. Am. B 6, 2023–2045 (1989). [CrossRef]
  6. P. J. Ungar, D. S. Weiss, E. Riis, and S. Chu, “Optical molasses and multilevel atoms: theory,” J. Opt. Soc. Am. B 6, 2058–2071 (1989). [CrossRef]
  7. A. M. Steane and C. J. Foot, “Laser cooling below the Doppler limit in a magneto-optical trap,” Europhys. Lett. 14, 231–236 (1991). [CrossRef]
  8. W. Ketterle, K. B. Davis, M. A. Joffe, A. Martin, and D. E. Pritchard, “High densities of cold atoms in a dark spontaneous-force optical trap,” Phys. Rev. Lett. 70, 2253–2256 (1993). [CrossRef] [PubMed]
  9. M. Drewsen, P. Laurent, A. Nadir, G. Santarelli, A. Clairon, Y. Castin, D. Grison, and C. Salomon, “Investigation of sub-Doppler cooling effects in a cesium magneto-optical trap,” Appl. Phys. B 59, 283–298 (1994). [CrossRef]
  10. C. G. Townsend, N. H. Edwards, C. J. Cooper, K. P. Zetie, C. J. Foot, A. M. Steane, P. Szriftgiser, H. Perrin, and J. Dalibard, “Phase-space density in the magneto-optical trap,” Phys. Rev. A 52, 1423–1440 (1995). [CrossRef] [PubMed]
  11. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, “Observation of Bose–Einstein condensation in a dilute atomic vapor,” Science 269, 198–201 (1995). [CrossRef] [PubMed]
  12. D. W. Sesko, T. G. Walker, and C. E. Wieman, “Behavior of neutral atoms in a spontaneous force trap,” J. Opt. Soc. Am. B 8, 946–958 (1991). [CrossRef]
  13. T. Walker, D. Sesko, and C. Wieman, “Collective behavior of optically trapped neutral atoms,” Phys. Rev. Lett. 64, 408–411 (1990). [CrossRef] [PubMed]
  14. V. S. Bagnato, L. G. Marcassa, M. Oria, G. I. Surdutovich, R. Vitlina, and S. C. Zilio, “Spatial distribution of atoms in a magneto-optical trap,” Phys. Rev. A 48, 3771–3775 (1993). [CrossRef] [PubMed]
  15. I. Guedes, M. T. de Araujo, D. M. B. P. Milori, G. I. Surdutovich, V. S. Bagnato, and S. C. Zilio, “Forces acting on magneto-optically trapped atoms,” J. Opt. Soc. Am. B 11, 1935–1940 (1994). [CrossRef]
  16. M. T. de Araujo, L. G. Marcassa, S. C. Zilio, and V. S. Bagnato, “Double-ring structure: another variant in the spatial distribution of cold sodium atoms,” Phys. Rev. A 51, 4286–4288 (1995). [CrossRef] [PubMed]
  17. V. S. Bagnato, L. G. Marcassa, M. Oriá, G. I. Surdutovich, and S. C. Zilio, “Spatial distributions of optically trapped cooled neutral atoms,” Laser Phys. 2, 172–177 (1992).
  18. A. M. Steane, M. Chowdhury, and C. J. Foot, “Radiation force in the magneto-optical trap,” J. Opt. Soc. Am. B 9, 2142–2158 (1992). [CrossRef]
  19. M. Gajda and J. Mostowski, “Three-dimensional theory of the magneto-optical trap: Doppler cooling in the low-intensity limit,” Phys. Rev. A 49, 4864–4875 (1994). [CrossRef] [PubMed]
  20. G. Hillenbrand, K. Burnett, and C. J. Foot, “Effect of scattered radiation on sub-Doppler cooling,” Phys. Rev. A 52, 4763–4786 (1995). [CrossRef] [PubMed]
  21. J. Dalibard, “Laser cooling of an optically thick gas: the simplest radiation pressure trap?,” Opt. Commun. 68, 203–208 (1988). [CrossRef]
  22. K. Ellinger, J. Cooper, and P. Zoller, “Light-pressure force in N-atom systems,” Phys. Rev. A 49, 3909–3933 (1994). [CrossRef] [PubMed]
  23. D. Hoffman, P. Feng, and T. Walker, “Measurement of Rb trap-loss collision spectra,” J. Opt. Soc. Am. B 11, 712–720 (1994). [CrossRef]
  24. A. P. Kazantsev, G. I. Surdutovich, D. O. Chudesnikov, and V. P. Yakovlev, “Scattering, velocity bunching, and self-localization of atoms in a light field,” J. Opt. Soc. Am. B 6, 2130–2139 (1989). [CrossRef]
  25. C. J. Cooper, G. Hillenbrand, J. Rink, C. G. Townsend, K. Zetie, and C. J. Foot, “The temperature of atoms in a magneto-optical trap,” Europhys. Lett. 28, 397–402 (1994). [CrossRef]
  26. C. Gabbanini, A. Evangelista, S. Gozzini, A. Lucchesini, A. Fioretti, J. Müller, M. Colla, and E. Arimondo, “Scaling laws in magneto-optical traps,” Europhys. Lett. 37, 251–256 (1997). [CrossRef]
  27. K. Lindquist, M. Stephens, and C. Wieman, “Experimental and theoretical study of the vapor-cell Zeeman optical trap,” Phys. Rev. A 46, 4082–4090 (1992). [CrossRef] [PubMed]
  28. S. Grego, M. Colla, A. Fioretti, J. H. Müller, P. Verkerk, and E. Arimondo, “A cesium magneto-optical trap for cold-collision studies,” Opt. Commun. 132, 519–526 (1996). [CrossRef]
  29. G. Hillenbrand, C. J. Foot, and K. Burnett, “Heating due to long-range photon exchange interactions between cold atoms,” Phys. Rev. A 50, 1479–1489 (1994). [CrossRef] [PubMed]
  30. M. T. de Araujo, R. J. Horowicz, D. Milori, A. Tuboy, R. Kaiser, S. C. Zilio, and V. S. Bagnato, “Time of flight technique to determine temperature of atoms in a ring-shaped trap,” Opt. Commun. 119, 85–89 (1995). [CrossRef]
  31. P. L. Gould, P. D. Lett, and W. D. Phillips, “New measurements with optical molasses,” in Laser Spectroscopy VIII, W. Persson and S. Svanberg, eds. (Springer-Verlag, Berlin, 1987), pp. 64–67.

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