Abstract

We theoretically examine photoassociation of a two-component Fermi degenerate gas. Our focus is on adjusting the atom-atom interaction, and thereby increasing the critical temperature of the BCS transition to the superfluid state. In order to avoid spontaneous decay of the molecules, the photoassociating light must be far-off resonance. Very high light intensities are therefore required for effective control of the BCS transition.

© 2001 Optical Society of America

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  1. 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]
  2. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
    [CrossRef] [PubMed]
  3. C. C. Bradley, C. A. Sackett, and R. G. Hulet, “Bose-Einstein condensation of lithium: Observation of limited condensate number,” Phys. Rev. Lett. 78, 985–989 (1997).
    [CrossRef]
  4. B. DeMarco and D. S. Jin, “Onset of Fermi degeneracy in a trapped atomic gas,” Science 285, 1703–1706 (1999).
    [CrossRef] [PubMed]
  5. M. J. Holland, B. DeMarco, and D. S. Jin, “Evaporative cooling of a two-component degenerate Fermi gas,” Phys. Rev. A 61, 053610 (2000) (6 pages).
    [CrossRef]
  6. H. T. C. Stoof, M. Houbiers, C. A. Sackett, and R. G. Hulet, “Superfluidity of spin-polarized 6Li,” Phys. Rev. Lett. 76, 10–13 (1996).
    [CrossRef] [PubMed]
  7. M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
    [CrossRef]
  8. E. Tiesinga, A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, “Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium,” Phys. Rev. A 46, R1167–R1170 (1992).
    [CrossRef] [PubMed]
  9. E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, “Threshold and resonance phenomena in ultracold ground-state collision,” Phys. Rev. A 474114–4122 (1993).
    [CrossRef] [PubMed]
  10. J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
    [CrossRef]
  11. A. J. Moerdijk, B. J. Verhaar, and T. M. Nagtegaal, “Collisions of dressed ground-state atoms,” Phys. Rev. A 53, 4343–4351 (1996).
    [CrossRef] [PubMed]
  12. M. Marinescu and L. You, “Controlling atom-atom interaction at ultralow temperatures by dc electric fields,” Phys. Rev. Lett. 81, 4596–4599 (1998).
    [CrossRef]
  13. P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, “Influence of nearly resonant light on the scattering length in low-temperature atomic gases,” Phys. Rev. Lett. 77, 2913–2916 (1996).
    [CrossRef] [PubMed]
  14. J. L. Bohn and P. S. Julienne, “Prospects for influencing scattering lengths with far-off-resonant light,” Phys. Rev. A 56, 1486–1491 (1997).
    [CrossRef]
  15. M. Kos̆trun, M. Mackie, R. Côté, and J. Javanainen, “Theory of coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 62, 063616 (2000) (23 pages).
    [CrossRef]
  16. S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, “Stable 85Rb Bose-Einstein condensates with widely tunable interactions,” Phys. Rev. Lett. 85, 1795–1798 (2000).
    [CrossRef] [PubMed]
  17. J. L. Bohn, “Cooper pairing in ultracold 40K using Feshbach resonances,” Phys. Rev. A 61, 053409 (2000) (4 pages).
    [CrossRef]
  18. J. Javanainen and M. Mackie, “Coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 59, R3186–R3189 (1999).
    [CrossRef]
  19. J. Javanainen and M. Kos̆trun, “Instability of a mixed atom-molecule condensate under photoassociation,” Optics Express 5, 188–194 (1999). http://www.opticsexpress.org/oearchive/source/13528.htm
    [CrossRef] [PubMed]
  20. P. D. Drummond, K. V. Kheruntsyan, and H. He, “Coherent molecular solitons in a Bose-Einstein condensate,” Phys. Rev. Lett. 81, 3055–3058 (1998).
    [CrossRef]
  21. R. Friedberg and T. D. Lee, “Gap energy and long-range order in the boson-fermion model of superconductivity,” Phys. Rev. B 40, 6745–6762 (1989).
    [CrossRef]
  22. J. Javanainen and M. Mackie, “Probability of photoassociation from a quasicontinuum approach,” Phys. Rev. A 58, R789–R792 (1998).
    [CrossRef]
  23. M. Mackie and J. Javanainen, “Quasicontinuum modeling of photoassociation,” Phys. Rev. A 60, 3174–3187 (1999).
    [CrossRef]
  24. R. Côté, A. Dalgarno, Y. Sun, and R. G. Hulet, “Photoabsorption by ultracold atoms and the scattering length,” Phys. Rev. Lett. 74, 3581–3583 (1995).
    [CrossRef] [PubMed]
  25. R. Côté and A. Dalgarno, “Photoassociation intensities and radiative trap loss in lithium,” Phys. Rev. A 58, 498–508 (1998).
    [CrossRef]
  26. R. Côté and A. Dalgarno, “Mechanism for the production of 6Li2 and 7Li2 ultracold molecules,” J. Mol. Spect. 195, 236–245 (1999).
    [CrossRef]
  27. It should be noted that the photoassociation rates calculated in Refs. [24, 25, 26] are inadvertently low by a factor of (2π)5.

2000 (4)

M. J. Holland, B. DeMarco, and D. S. Jin, “Evaporative cooling of a two-component degenerate Fermi gas,” Phys. Rev. A 61, 053610 (2000) (6 pages).
[CrossRef]

M. Kos̆trun, M. Mackie, R. Côté, and J. Javanainen, “Theory of coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 62, 063616 (2000) (23 pages).
[CrossRef]

S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, “Stable 85Rb Bose-Einstein condensates with widely tunable interactions,” Phys. Rev. Lett. 85, 1795–1798 (2000).
[CrossRef] [PubMed]

J. L. Bohn, “Cooper pairing in ultracold 40K using Feshbach resonances,” Phys. Rev. A 61, 053409 (2000) (4 pages).
[CrossRef]

1999 (5)

J. Javanainen and M. Mackie, “Coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 59, R3186–R3189 (1999).
[CrossRef]

J. Javanainen and M. Kos̆trun, “Instability of a mixed atom-molecule condensate under photoassociation,” Optics Express 5, 188–194 (1999). http://www.opticsexpress.org/oearchive/source/13528.htm
[CrossRef] [PubMed]

B. DeMarco and D. S. Jin, “Onset of Fermi degeneracy in a trapped atomic gas,” Science 285, 1703–1706 (1999).
[CrossRef] [PubMed]

M. Mackie and J. Javanainen, “Quasicontinuum modeling of photoassociation,” Phys. Rev. A 60, 3174–3187 (1999).
[CrossRef]

R. Côté and A. Dalgarno, “Mechanism for the production of 6Li2 and 7Li2 ultracold molecules,” J. Mol. Spect. 195, 236–245 (1999).
[CrossRef]

1998 (4)

J. Javanainen and M. Mackie, “Probability of photoassociation from a quasicontinuum approach,” Phys. Rev. A 58, R789–R792 (1998).
[CrossRef]

R. Côté and A. Dalgarno, “Photoassociation intensities and radiative trap loss in lithium,” Phys. Rev. A 58, 498–508 (1998).
[CrossRef]

P. D. Drummond, K. V. Kheruntsyan, and H. He, “Coherent molecular solitons in a Bose-Einstein condensate,” Phys. Rev. Lett. 81, 3055–3058 (1998).
[CrossRef]

M. Marinescu and L. You, “Controlling atom-atom interaction at ultralow temperatures by dc electric fields,” Phys. Rev. Lett. 81, 4596–4599 (1998).
[CrossRef]

1997 (4)

J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
[CrossRef]

C. C. Bradley, C. A. Sackett, and R. G. Hulet, “Bose-Einstein condensation of lithium: Observation of limited condensate number,” Phys. Rev. Lett. 78, 985–989 (1997).
[CrossRef]

M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
[CrossRef]

J. L. Bohn and P. S. Julienne, “Prospects for influencing scattering lengths with far-off-resonant light,” Phys. Rev. A 56, 1486–1491 (1997).
[CrossRef]

1996 (3)

H. T. C. Stoof, M. Houbiers, C. A. Sackett, and R. G. Hulet, “Superfluidity of spin-polarized 6Li,” Phys. Rev. Lett. 76, 10–13 (1996).
[CrossRef] [PubMed]

A. J. Moerdijk, B. J. Verhaar, and T. M. Nagtegaal, “Collisions of dressed ground-state atoms,” Phys. Rev. A 53, 4343–4351 (1996).
[CrossRef] [PubMed]

P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, “Influence of nearly resonant light on the scattering length in low-temperature atomic gases,” Phys. Rev. Lett. 77, 2913–2916 (1996).
[CrossRef] [PubMed]

1995 (3)

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]

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

R. Côté, A. Dalgarno, Y. Sun, and R. G. Hulet, “Photoabsorption by ultracold atoms and the scattering length,” Phys. Rev. Lett. 74, 3581–3583 (1995).
[CrossRef] [PubMed]

1993 (1)

E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, “Threshold and resonance phenomena in ultracold ground-state collision,” Phys. Rev. A 474114–4122 (1993).
[CrossRef] [PubMed]

1992 (1)

E. Tiesinga, A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, “Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium,” Phys. Rev. A 46, R1167–R1170 (1992).
[CrossRef] [PubMed]

1989 (1)

R. Friedberg and T. D. Lee, “Gap energy and long-range order in the boson-fermion model of superconductivity,” Phys. Rev. B 40, 6745–6762 (1989).
[CrossRef]

Anderson, M. H.

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]

Andrews, M. R.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

Bohn, J. L.

J. L. Bohn, “Cooper pairing in ultracold 40K using Feshbach resonances,” Phys. Rev. A 61, 053409 (2000) (4 pages).
[CrossRef]

J. L. Bohn and P. S. Julienne, “Prospects for influencing scattering lengths with far-off-resonant light,” Phys. Rev. A 56, 1486–1491 (1997).
[CrossRef]

Bradley, C. C.

C. C. Bradley, C. A. Sackett, and R. G. Hulet, “Bose-Einstein condensation of lithium: Observation of limited condensate number,” Phys. Rev. Lett. 78, 985–989 (1997).
[CrossRef]

Claussen, N. R.

S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, “Stable 85Rb Bose-Einstein condensates with widely tunable interactions,” Phys. Rev. Lett. 85, 1795–1798 (2000).
[CrossRef] [PubMed]

Cornell, E. A.

S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, “Stable 85Rb Bose-Einstein condensates with widely tunable interactions,” Phys. Rev. Lett. 85, 1795–1798 (2000).
[CrossRef] [PubMed]

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]

Cornish, S. L.

S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, “Stable 85Rb Bose-Einstein condensates with widely tunable interactions,” Phys. Rev. Lett. 85, 1795–1798 (2000).
[CrossRef] [PubMed]

Côté, R.

M. Kos̆trun, M. Mackie, R. Côté, and J. Javanainen, “Theory of coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 62, 063616 (2000) (23 pages).
[CrossRef]

R. Côté and A. Dalgarno, “Mechanism for the production of 6Li2 and 7Li2 ultracold molecules,” J. Mol. Spect. 195, 236–245 (1999).
[CrossRef]

R. Côté and A. Dalgarno, “Photoassociation intensities and radiative trap loss in lithium,” Phys. Rev. A 58, 498–508 (1998).
[CrossRef]

R. Côté, A. Dalgarno, Y. Sun, and R. G. Hulet, “Photoabsorption by ultracold atoms and the scattering length,” Phys. Rev. Lett. 74, 3581–3583 (1995).
[CrossRef] [PubMed]

Dalgarno, A.

R. Côté and A. Dalgarno, “Mechanism for the production of 6Li2 and 7Li2 ultracold molecules,” J. Mol. Spect. 195, 236–245 (1999).
[CrossRef]

R. Côté and A. Dalgarno, “Photoassociation intensities and radiative trap loss in lithium,” Phys. Rev. A 58, 498–508 (1998).
[CrossRef]

R. Côté, A. Dalgarno, Y. Sun, and R. G. Hulet, “Photoabsorption by ultracold atoms and the scattering length,” Phys. Rev. Lett. 74, 3581–3583 (1995).
[CrossRef] [PubMed]

Davis, K. B.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

DeMarco, B.

M. J. Holland, B. DeMarco, and D. S. Jin, “Evaporative cooling of a two-component degenerate Fermi gas,” Phys. Rev. A 61, 053610 (2000) (6 pages).
[CrossRef]

B. DeMarco and D. S. Jin, “Onset of Fermi degeneracy in a trapped atomic gas,” Science 285, 1703–1706 (1999).
[CrossRef] [PubMed]

Drummond, P. D.

P. D. Drummond, K. V. Kheruntsyan, and H. He, “Coherent molecular solitons in a Bose-Einstein condensate,” Phys. Rev. Lett. 81, 3055–3058 (1998).
[CrossRef]

Durfee, D. S.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

Ensher, J. R.

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]

Fedichev, P. O.

P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, “Influence of nearly resonant light on the scattering length in low-temperature atomic gases,” Phys. Rev. Lett. 77, 2913–2916 (1996).
[CrossRef] [PubMed]

Ferwerda, R.

M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
[CrossRef]

Freeland, R. S.

J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
[CrossRef]

Friedberg, R.

R. Friedberg and T. D. Lee, “Gap energy and long-range order in the boson-fermion model of superconductivity,” Phys. Rev. B 40, 6745–6762 (1989).
[CrossRef]

He, H.

P. D. Drummond, K. V. Kheruntsyan, and H. He, “Coherent molecular solitons in a Bose-Einstein condensate,” Phys. Rev. Lett. 81, 3055–3058 (1998).
[CrossRef]

Heinzen, D. J.

J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
[CrossRef]

Holland, M. J.

M. J. Holland, B. DeMarco, and D. S. Jin, “Evaporative cooling of a two-component degenerate Fermi gas,” Phys. Rev. A 61, 053610 (2000) (6 pages).
[CrossRef]

Houbiers, M.

M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
[CrossRef]

H. T. C. Stoof, M. Houbiers, C. A. Sackett, and R. G. Hulet, “Superfluidity of spin-polarized 6Li,” Phys. Rev. Lett. 76, 10–13 (1996).
[CrossRef] [PubMed]

Hulet, R. G.

M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
[CrossRef]

C. C. Bradley, C. A. Sackett, and R. G. Hulet, “Bose-Einstein condensation of lithium: Observation of limited condensate number,” Phys. Rev. Lett. 78, 985–989 (1997).
[CrossRef]

H. T. C. Stoof, M. Houbiers, C. A. Sackett, and R. G. Hulet, “Superfluidity of spin-polarized 6Li,” Phys. Rev. Lett. 76, 10–13 (1996).
[CrossRef] [PubMed]

R. Côté, A. Dalgarno, Y. Sun, and R. G. Hulet, “Photoabsorption by ultracold atoms and the scattering length,” Phys. Rev. Lett. 74, 3581–3583 (1995).
[CrossRef] [PubMed]

Javanainen, J.

M. Kos̆trun, M. Mackie, R. Côté, and J. Javanainen, “Theory of coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 62, 063616 (2000) (23 pages).
[CrossRef]

J. Javanainen and M. Mackie, “Coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 59, R3186–R3189 (1999).
[CrossRef]

M. Mackie and J. Javanainen, “Quasicontinuum modeling of photoassociation,” Phys. Rev. A 60, 3174–3187 (1999).
[CrossRef]

J. Javanainen and M. Kos̆trun, “Instability of a mixed atom-molecule condensate under photoassociation,” Optics Express 5, 188–194 (1999). http://www.opticsexpress.org/oearchive/source/13528.htm
[CrossRef] [PubMed]

J. Javanainen and M. Mackie, “Probability of photoassociation from a quasicontinuum approach,” Phys. Rev. A 58, R789–R792 (1998).
[CrossRef]

Jin, D. S.

M. J. Holland, B. DeMarco, and D. S. Jin, “Evaporative cooling of a two-component degenerate Fermi gas,” Phys. Rev. A 61, 053610 (2000) (6 pages).
[CrossRef]

B. DeMarco and D. S. Jin, “Onset of Fermi degeneracy in a trapped atomic gas,” Science 285, 1703–1706 (1999).
[CrossRef] [PubMed]

Julienne, P. S.

J. L. Bohn and P. S. Julienne, “Prospects for influencing scattering lengths with far-off-resonant light,” Phys. Rev. A 56, 1486–1491 (1997).
[CrossRef]

Kagan, Yu.

P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, “Influence of nearly resonant light on the scattering length in low-temperature atomic gases,” Phys. Rev. Lett. 77, 2913–2916 (1996).
[CrossRef] [PubMed]

Ketterle, W.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

Kheruntsyan, K. V.

P. D. Drummond, K. V. Kheruntsyan, and H. He, “Coherent molecular solitons in a Bose-Einstein condensate,” Phys. Rev. Lett. 81, 3055–3058 (1998).
[CrossRef]

Kokkelmans, S. J. J. M. F.

J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
[CrossRef]

Kos?trun, M.

M. Kos̆trun, M. Mackie, R. Côté, and J. Javanainen, “Theory of coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 62, 063616 (2000) (23 pages).
[CrossRef]

J. Javanainen and M. Kos̆trun, “Instability of a mixed atom-molecule condensate under photoassociation,” Optics Express 5, 188–194 (1999). http://www.opticsexpress.org/oearchive/source/13528.htm
[CrossRef] [PubMed]

Kurn, D. M.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

Lee, T. D.

R. Friedberg and T. D. Lee, “Gap energy and long-range order in the boson-fermion model of superconductivity,” Phys. Rev. B 40, 6745–6762 (1989).
[CrossRef]

Mackie, M.

M. Kos̆trun, M. Mackie, R. Côté, and J. Javanainen, “Theory of coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 62, 063616 (2000) (23 pages).
[CrossRef]

J. Javanainen and M. Mackie, “Coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 59, R3186–R3189 (1999).
[CrossRef]

M. Mackie and J. Javanainen, “Quasicontinuum modeling of photoassociation,” Phys. Rev. A 60, 3174–3187 (1999).
[CrossRef]

J. Javanainen and M. Mackie, “Probability of photoassociation from a quasicontinuum approach,” Phys. Rev. A 58, R789–R792 (1998).
[CrossRef]

Marinescu, M.

M. Marinescu and L. You, “Controlling atom-atom interaction at ultralow temperatures by dc electric fields,” Phys. Rev. Lett. 81, 4596–4599 (1998).
[CrossRef]

Matthews, M. R.

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]

McAlexander, W. I.

M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
[CrossRef]

Mewes, M.-O.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

Moerdijk, A. J.

A. J. Moerdijk, B. J. Verhaar, and T. M. Nagtegaal, “Collisions of dressed ground-state atoms,” Phys. Rev. A 53, 4343–4351 (1996).
[CrossRef] [PubMed]

E. Tiesinga, A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, “Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium,” Phys. Rev. A 46, R1167–R1170 (1992).
[CrossRef] [PubMed]

Nagtegaal, T. M.

A. J. Moerdijk, B. J. Verhaar, and T. M. Nagtegaal, “Collisions of dressed ground-state atoms,” Phys. Rev. A 53, 4343–4351 (1996).
[CrossRef] [PubMed]

Roberts, J. L.

S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, “Stable 85Rb Bose-Einstein condensates with widely tunable interactions,” Phys. Rev. Lett. 85, 1795–1798 (2000).
[CrossRef] [PubMed]

Sackett, C. A.

M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
[CrossRef]

C. C. Bradley, C. A. Sackett, and R. G. Hulet, “Bose-Einstein condensation of lithium: Observation of limited condensate number,” Phys. Rev. Lett. 78, 985–989 (1997).
[CrossRef]

H. T. C. Stoof, M. Houbiers, C. A. Sackett, and R. G. Hulet, “Superfluidity of spin-polarized 6Li,” Phys. Rev. Lett. 76, 10–13 (1996).
[CrossRef] [PubMed]

Shlyapnikov, G. V.

P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, “Influence of nearly resonant light on the scattering length in low-temperature atomic gases,” Phys. Rev. Lett. 77, 2913–2916 (1996).
[CrossRef] [PubMed]

Stoof, H. T. C.

M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
[CrossRef]

H. T. C. Stoof, M. Houbiers, C. A. Sackett, and R. G. Hulet, “Superfluidity of spin-polarized 6Li,” Phys. Rev. Lett. 76, 10–13 (1996).
[CrossRef] [PubMed]

E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, “Threshold and resonance phenomena in ultracold ground-state collision,” Phys. Rev. A 474114–4122 (1993).
[CrossRef] [PubMed]

E. Tiesinga, A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, “Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium,” Phys. Rev. A 46, R1167–R1170 (1992).
[CrossRef] [PubMed]

Sun, Y.

R. Côté, A. Dalgarno, Y. Sun, and R. G. Hulet, “Photoabsorption by ultracold atoms and the scattering length,” Phys. Rev. Lett. 74, 3581–3583 (1995).
[CrossRef] [PubMed]

Tiesinga, E.

E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, “Threshold and resonance phenomena in ultracold ground-state collision,” Phys. Rev. A 474114–4122 (1993).
[CrossRef] [PubMed]

E. Tiesinga, A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, “Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium,” Phys. Rev. A 46, R1167–R1170 (1992).
[CrossRef] [PubMed]

Tsai, C. C.

J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
[CrossRef]

van Druten, N. J.

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

Verhaar, B. J.

J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
[CrossRef]

A. J. Moerdijk, B. J. Verhaar, and T. M. Nagtegaal, “Collisions of dressed ground-state atoms,” Phys. Rev. A 53, 4343–4351 (1996).
[CrossRef] [PubMed]

E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, “Threshold and resonance phenomena in ultracold ground-state collision,” Phys. Rev. A 474114–4122 (1993).
[CrossRef] [PubMed]

E. Tiesinga, A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, “Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium,” Phys. Rev. A 46, R1167–R1170 (1992).
[CrossRef] [PubMed]

Vogels, J. M.

J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
[CrossRef]

Walraven, J. T. M.

P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, “Influence of nearly resonant light on the scattering length in low-temperature atomic gases,” Phys. Rev. Lett. 77, 2913–2916 (1996).
[CrossRef] [PubMed]

Wieman, C. E.

S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, “Stable 85Rb Bose-Einstein condensates with widely tunable interactions,” Phys. Rev. Lett. 85, 1795–1798 (2000).
[CrossRef] [PubMed]

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]

You, L.

M. Marinescu and L. You, “Controlling atom-atom interaction at ultralow temperatures by dc electric fields,” Phys. Rev. Lett. 81, 4596–4599 (1998).
[CrossRef]

J. Mol. Spect. (1)

R. Côté and A. Dalgarno, “Mechanism for the production of 6Li2 and 7Li2 ultracold molecules,” J. Mol. Spect. 195, 236–245 (1999).
[CrossRef]

Optics Express (1)

J. Javanainen and M. Kos̆trun, “Instability of a mixed atom-molecule condensate under photoassociation,” Optics Express 5, 188–194 (1999). http://www.opticsexpress.org/oearchive/source/13528.htm
[CrossRef] [PubMed]

Phys. Rev. A (13)

J. L. Bohn and P. S. Julienne, “Prospects for influencing scattering lengths with far-off-resonant light,” Phys. Rev. A 56, 1486–1491 (1997).
[CrossRef]

M. Kos̆trun, M. Mackie, R. Côté, and J. Javanainen, “Theory of coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 62, 063616 (2000) (23 pages).
[CrossRef]

J. L. Bohn, “Cooper pairing in ultracold 40K using Feshbach resonances,” Phys. Rev. A 61, 053409 (2000) (4 pages).
[CrossRef]

J. Javanainen and M. Mackie, “Coherent photoassociation of a Bose-Einstein condensate,” Phys. Rev. A 59, R3186–R3189 (1999).
[CrossRef]

M. J. Holland, B. DeMarco, and D. S. Jin, “Evaporative cooling of a two-component degenerate Fermi gas,” Phys. Rev. A 61, 053610 (2000) (6 pages).
[CrossRef]

M. Houbiers, H. T. C. Stoof, R. Ferwerda, W. I. McAlexander, C. A. Sackett, and R. G. Hulet, “Superfluid state of atomic 6Li in a magnetic trap,” Phys. Rev. A 56, 4864–4878 (1997).
[CrossRef]

E. Tiesinga, A. J. Moerdijk, B. J. Verhaar, and H. T. C. Stoof, “Conditions for Bose-Einstein condensation in magnetically trapped atomic cesium,” Phys. Rev. A 46, R1167–R1170 (1992).
[CrossRef] [PubMed]

E. Tiesinga, B. J. Verhaar, and H. T. C. Stoof, “Threshold and resonance phenomena in ultracold ground-state collision,” Phys. Rev. A 474114–4122 (1993).
[CrossRef] [PubMed]

J. M. Vogels, C. C. Tsai, R. S. Freeland, S. J. J. M. F. Kokkelmans, B. J. Verhaar, and D. J. Heinzen, “Prediction of Feshbach resonances in collisions of ultracold rubidium atoms,” Phys. Rev. A 56, R1067–R1070 (1997).
[CrossRef]

A. J. Moerdijk, B. J. Verhaar, and T. M. Nagtegaal, “Collisions of dressed ground-state atoms,” Phys. Rev. A 53, 4343–4351 (1996).
[CrossRef] [PubMed]

J. Javanainen and M. Mackie, “Probability of photoassociation from a quasicontinuum approach,” Phys. Rev. A 58, R789–R792 (1998).
[CrossRef]

M. Mackie and J. Javanainen, “Quasicontinuum modeling of photoassociation,” Phys. Rev. A 60, 3174–3187 (1999).
[CrossRef]

R. Côté and A. Dalgarno, “Photoassociation intensities and radiative trap loss in lithium,” Phys. Rev. A 58, 498–508 (1998).
[CrossRef]

Phys. Rev. B (1)

R. Friedberg and T. D. Lee, “Gap energy and long-range order in the boson-fermion model of superconductivity,” Phys. Rev. B 40, 6745–6762 (1989).
[CrossRef]

Phys. Rev. Lett. (8)

P. D. Drummond, K. V. Kheruntsyan, and H. He, “Coherent molecular solitons in a Bose-Einstein condensate,” Phys. Rev. Lett. 81, 3055–3058 (1998).
[CrossRef]

S. L. Cornish, N. R. Claussen, J. L. Roberts, E. A. Cornell, and C. E. Wieman, “Stable 85Rb Bose-Einstein condensates with widely tunable interactions,” Phys. Rev. Lett. 85, 1795–1798 (2000).
[CrossRef] [PubMed]

M. Marinescu and L. You, “Controlling atom-atom interaction at ultralow temperatures by dc electric fields,” Phys. Rev. Lett. 81, 4596–4599 (1998).
[CrossRef]

P. O. Fedichev, Yu. Kagan, G. V. Shlyapnikov, and J. T. M. Walraven, “Influence of nearly resonant light on the scattering length in low-temperature atomic gases,” Phys. Rev. Lett. 77, 2913–2916 (1996).
[CrossRef] [PubMed]

H. T. C. Stoof, M. Houbiers, C. A. Sackett, and R. G. Hulet, “Superfluidity of spin-polarized 6Li,” Phys. Rev. Lett. 76, 10–13 (1996).
[CrossRef] [PubMed]

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, “Bose-Einstein condensation in a gas of sodium atoms,” Phys. Rev. Lett. 75, 3969–3973 (1995).
[CrossRef] [PubMed]

C. C. Bradley, C. A. Sackett, and R. G. Hulet, “Bose-Einstein condensation of lithium: Observation of limited condensate number,” Phys. Rev. Lett. 78, 985–989 (1997).
[CrossRef]

R. Côté, A. Dalgarno, Y. Sun, and R. G. Hulet, “Photoabsorption by ultracold atoms and the scattering length,” Phys. Rev. Lett. 74, 3581–3583 (1995).
[CrossRef] [PubMed]

Science (2)

B. DeMarco and D. S. Jin, “Onset of Fermi degeneracy in a trapped atomic gas,” Science 285, 1703–1706 (1999).
[CrossRef] [PubMed]

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]

Other (1)

It should be noted that the photoassociation rates calculated in Refs. [24, 25, 26] are inadvertently low by a factor of (2π)5.

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Equations (15)

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𝓗 = ϕ + 2 2 m ϕ + ϕ 2 2 m ϕ + ψ [ 2 4 m + δ 1 2 i γ s ] ψ
[ 𝓓 ψ ϕ + ϕ + 𝓓 * ϕ ϕ ψ ] + 4 π a m ϕ ϕ + ϕ + ϕ ,
𝓓 ( r ) = lim υ 0 π 2 Γ ( r ) υ μ 2
i ψ ˙ = [ 2 4 m + δ 1 2 i γ s ] ψ 𝓓 ϕ + ϕ .
ψ [ 𝓓 δ + i γ s 𝓓 2 δ 2 ] ϕ + ϕ .
𝓗 ϕ + 2 2 m ϕ + ϕ 2 2 m ϕ + 4 π a m ϕ ϕ + ϕ + ϕ
+ [ 𝓓 2 δ i γ s 𝓓 2 2 δ 2 ] ϕ ϕ + ϕ + ϕ .
a - = 𝓓 2 m 4 π δ .
T c = T F exp [ π 2 k F a ¯ ] = T F exp [ 2 π 2 δ k F m 𝓓 2 ] .
1 τ = γ s 𝓓 2 ρ 2 δ 2 .
R = λ D 3 ρ e δ k B T Γ ρ ( I ω ) k .
a ¯ ƛ = 0.0140077 I I 0 R δ ,
T c T F = exp [ 36.2478 1 ( ƛ 3 ρ ) 1 3 δ R I 0 I ] ,
R τ = 4 δ 2 R γ s I 0 I 1 ƛ 3 ρ .
I 0 = π δ c 4 2 km 2 ( k B T ) 3 2 ƛ 2 e δ k B T .

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