Abstract

Using the counterpart of the Gross-Pitaevskii equation, we study a system of atomic and molecular condensates in equilibrium in the presence of photoassociating light. All equilibria except a special case with only molecules are prone to an analog of the modulational instability in second-harmonic generation. The nature of the instability is such that the atoms and molecules aggregate in dense clumps.

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  1. P. S. Julienne, K. Burnett, Y. B. Band, and W. C. Stwalley, "Stimulated Raman molecule production in Bose-Einstein condensates," Phys. Rev. A 58, R797-800 (1998).
  2. J. Javanainen and M. Mackie, "Probability of photoassociation from a quasicontinuum approach," Phys. Rev. A 58, R789-92 (1998).
  3. M. Mackie and J. Javanainen, "Quasicontinuum modeling of photoassociation," Phys. Rev. A 60, 3174-87 (1999).
  4. J. Javanainen and M. Mackie, "Coherent photoassociation of a Bose-Einstein condensate," Phys. Rev. A 59, R3186-9 (1999).
  5. P. D. Drummond, K. V. Kheruntsyan, and H. He, "Coherent molecular solitons in Bose-Einstein condensates," Phys. Rev. Lett. 81, 3055-8 (1998).
  6. S. Trillo and P. Ferro, "Modulational instability in second-harmonic generation," Optics Lett. 20, 438-40 (1995).
  7. H. He, P. D. Drummond, and B. A. Malomed, "Modulational stability in dispersive optical systems with cascaded nonlinearity," Opt. Commun. 123, 394-402 (1996).
  8. M. Kostrun et al., unpublished.
  9. P. Tommasini, E. Timmermans, M. Hussein, and A. Kerman, "Feshbach Resonance and Hybrid Atomic/Molecular BEC-Systems," preprint http://xxx.lanl.gov/abs/cond-mat/9804015.
  10. H. He, M. J. Werner, and P. D. Drummond, "Simultaneous solitary-wave solutions in a nonlinear parametric waveguide," Phys. Rev. E 54, 896-911 (1996).
  11. P. A. Ruprecht, M. Edwards, K. Burnett, and C. W. Clark, "Probing the linear and nonlinear excitations of Bose-condensed neutral atoms in a trap," Phys. Rev. A 54, 4178-87 (1996).
  12. E. V. Goldstein and P. Meystre, "Quasiparticle instabilities in multicomponent atomic condensates," Phys. Rev. A 55, 2935-40 (1997).
  13. B. D. Esry and C. H. Greene, "Low-lying excitations of double Bose-Einstein condensates," Phys. Rev. A 57, 1265-71 (1998).
  14. H. Pu and N. P. Bigelow, "Collective excitations, metastability, and nonlinear response of a trapped two-species Bose-Einstein condensate," Phys. Rev. Lett. 80, 1134-7 (1998).
  15. A. L. Fetter, "Nonuniform states of an imperfect Bose gas," Ann. Phys. (N.Y.) 70, 67-101 (1972).
  16. P. �hberg and S. Stenholm, "Hartree-Fock treatment of the two-component Bose-Einstein condensate," Phys. Rev. A 57, 1272-9 (1998).
  17. D. Gordon and G. M. Savage, "Excitation spectrum and instability of a two-species Bose-Einstein condensate," Phys. Rev. A 58, 1440-4 (1998).
  18. B. D. Esry and C. H. Greene, "Spontaneous spatial symmetry breaking in two-component Bose- Einstein condensates," Phys. Rev. A 59, 1457-60 (1999).
  19. A. Sinatra, P. O. Fedichev, Y. Castin, J. Dalibard, and G. V. Shlyapnikov, "Dynamics of two interacting Bose-Einstein condensates," Phys. Rev. Lett. 82, 251-4 (1999).
  20. H. Pu, C. K. Law, S. Raghavan, J. H. Eberly, and N. P. Bigelow, "Spin-mixing dynamics of a spinor Bose-Einstein condensate," Phys. Rev. A 60, 1463-70 (1999).
  21. D. V. Skryabin and W. J. Firth, "Generation and stability of optical bullets in quadratic nonlinear media," Opt. Commun. 148, 79-84 (1998).

Other (21)

P. S. Julienne, K. Burnett, Y. B. Band, and W. C. Stwalley, "Stimulated Raman molecule production in Bose-Einstein condensates," Phys. Rev. A 58, R797-800 (1998).

J. Javanainen and M. Mackie, "Probability of photoassociation from a quasicontinuum approach," Phys. Rev. A 58, R789-92 (1998).

M. Mackie and J. Javanainen, "Quasicontinuum modeling of photoassociation," Phys. Rev. A 60, 3174-87 (1999).

J. Javanainen and M. Mackie, "Coherent photoassociation of a Bose-Einstein condensate," Phys. Rev. A 59, R3186-9 (1999).

P. D. Drummond, K. V. Kheruntsyan, and H. He, "Coherent molecular solitons in Bose-Einstein condensates," Phys. Rev. Lett. 81, 3055-8 (1998).

S. Trillo and P. Ferro, "Modulational instability in second-harmonic generation," Optics Lett. 20, 438-40 (1995).

H. He, P. D. Drummond, and B. A. Malomed, "Modulational stability in dispersive optical systems with cascaded nonlinearity," Opt. Commun. 123, 394-402 (1996).

M. Kostrun et al., unpublished.

P. Tommasini, E. Timmermans, M. Hussein, and A. Kerman, "Feshbach Resonance and Hybrid Atomic/Molecular BEC-Systems," preprint http://xxx.lanl.gov/abs/cond-mat/9804015.

H. He, M. J. Werner, and P. D. Drummond, "Simultaneous solitary-wave solutions in a nonlinear parametric waveguide," Phys. Rev. E 54, 896-911 (1996).

P. A. Ruprecht, M. Edwards, K. Burnett, and C. W. Clark, "Probing the linear and nonlinear excitations of Bose-condensed neutral atoms in a trap," Phys. Rev. A 54, 4178-87 (1996).

E. V. Goldstein and P. Meystre, "Quasiparticle instabilities in multicomponent atomic condensates," Phys. Rev. A 55, 2935-40 (1997).

B. D. Esry and C. H. Greene, "Low-lying excitations of double Bose-Einstein condensates," Phys. Rev. A 57, 1265-71 (1998).

H. Pu and N. P. Bigelow, "Collective excitations, metastability, and nonlinear response of a trapped two-species Bose-Einstein condensate," Phys. Rev. Lett. 80, 1134-7 (1998).

A. L. Fetter, "Nonuniform states of an imperfect Bose gas," Ann. Phys. (N.Y.) 70, 67-101 (1972).

P. �hberg and S. Stenholm, "Hartree-Fock treatment of the two-component Bose-Einstein condensate," Phys. Rev. A 57, 1272-9 (1998).

D. Gordon and G. M. Savage, "Excitation spectrum and instability of a two-species Bose-Einstein condensate," Phys. Rev. A 58, 1440-4 (1998).

B. D. Esry and C. H. Greene, "Spontaneous spatial symmetry breaking in two-component Bose- Einstein condensates," Phys. Rev. A 59, 1457-60 (1999).

A. Sinatra, P. O. Fedichev, Y. Castin, J. Dalibard, and G. V. Shlyapnikov, "Dynamics of two interacting Bose-Einstein condensates," Phys. Rev. Lett. 82, 251-4 (1999).

H. Pu, C. K. Law, S. Raghavan, J. H. Eberly, and N. P. Bigelow, "Spin-mixing dynamics of a spinor Bose-Einstein condensate," Phys. Rev. A 60, 1463-70 (1999).

D. V. Skryabin and W. J. Firth, "Generation and stability of optical bullets in quadratic nonlinear media," Opt. Commun. 148, 79-84 (1998).

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