Molecule production via Feshbach resonance in bosonic systems
Jie LIU (刘杰), Bin LIU (刘斌)
Molecule production via Feshbach resonance in bosonic systems
In this article, we review our recent theoretical works on producing ultracold molecules from ultracold bosonic atoms via magnetically tunable Feshbach resonances. Our analysis relies on a two-channel quantum microscopic model that accounts for many-body effects in the association process. We show that the picture of two-body molecular production depicted by the Landau–Zener model is signifi-cantly altered due to many-body effects. We derive an analytic expression for molecular conversion efficiency for the nonadiabatic linearly swept Feshbach resonance, that explains the discrepancy between the prediction of the Landau–Zener formula and the experimental data. With including the thermal dephasing effects in the oscillating magnetic field modulation Feshbach resoance, we reproduce the Lorentzian resonance lineshape and explain the maximum conversion efficiency observed in experiment.
Feshbach resonance / molecule production / bosonic system
[1] |
M. Greiner, C. A. Regal, and D. S. Jin, Nature (London), 2003, 426: 537
CrossRef
ADS
Google scholar
|
[2] |
M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, S. Gupta, Z. Hadzibabic, and W. Ketterle, Phys. Rev. Lett., 2003, 91: 250401
CrossRef
ADS
Google scholar
|
[3] |
S. Jochim, M.Bartenstein, A. Altmeyer, G. Hendl, S. Riedl, C. Chin, J. Hecker Denschlag, and R. Grimm, Science, 2003, 302: 2101
CrossRef
ADS
Google scholar
|
[4] |
M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. Hecker Denschlag, and R. Grimm, Phys. Rev. Lett., 2004, 92: 120401
CrossRef
ADS
Google scholar
|
[5] |
E. A. Donley, N. R. Claussen, S. T. Thompson, and C. E. Wieman, Nature (London), 2002, 417: 529
CrossRef
ADS
Google scholar
|
[6] |
M. Holland, S. J. J. M. F. Kokkelmans, M. L. Chiofalo, and R. Walser, Phys. Rev. Lett., 2001, 87: 120406
CrossRef
ADS
Google scholar
|
[7] |
E. Timmermans, K. Furuya, P. W. Milloni, and A. K. Kerman, Phys. Lett. A, 2001, 285: 228
CrossRef
ADS
Google scholar
|
[8] |
M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett., 2004, 92: 120403
CrossRef
ADS
Google scholar
|
[9] |
M. Greiner, C. A. Regal, and D. S. Jin, Phys. Rev. Lett., 2005, 94: 070403
CrossRef
ADS
Google scholar
|
[10] |
L. D. Landau, Phys. Z. Sowjetunion, 1932, 2: 46
|
[11] |
G. Zener, Proc. R. Soc. London, Ser. A, 1932, 137: 696
CrossRef
ADS
Google scholar
|
[12] |
S. T. Thompson, E. Hodby, and C. E. Wieman, Phys. Rev. Lett., 2005, 95: 190404
CrossRef
ADS
Google scholar
|
[13] |
T. Köhler and K. Góral, Rev. Mod. Phys., 2006, 78: 1311
CrossRef
ADS
Google scholar
|
[14] |
K. Góral, T. Köhler, S. A. Gardiner, E. Tiesinga, and P. S. Julienne, J. Phys. B, 2004, 37: 3457
|
[15] |
J. Liu, L. B. Fu, B. Y. Ou, S. G. Chen, D. I. Choi, B. Wu, and Q. Niu, Phys. Rev. A, 2002, 66: 023404
CrossRef
ADS
Google scholar
|
[16] |
J. Liu, B. Wu, and Q. Niu, Phys. Rev. Lett., 2003, 90: 170404
CrossRef
ADS
Google scholar
|
[17] |
A. Vardi, V. A. Yurovsky, and J. R. Anglin, Phys. Rev. A, 2001, 64: 063611
CrossRef
ADS
Google scholar
|
[18] |
J. R. Anglin, Phys. Rev. A, 2003, 67: 051601
CrossRef
ADS
Google scholar
|
[19] |
J. Liu, C. W. Zhang, M. G. Raizen, and Q. Niu, Phys. Rev. A, 2006, 73: 013601
CrossRef
ADS
Google scholar
|
[20] |
G. F. Wang, D. F. Ye, L. B. Fu, X. Z. Chen, and J. Liu, Phys. Rev. A, 2006, 74: 033414
CrossRef
ADS
Google scholar
|
[21] |
E. Hodby, S. T. Thompson, C. A. Regal, M. Greiner, A. C. Wilson, D. S. Jin, E. A. Cornell, and C. E. Wieman, Phys. Rev. Lett., 2005, 94: 120402
CrossRef
ADS
Google scholar
|
[22] |
S. Shapiro, Phys. Rev. Lett., 1963, 11: 80
CrossRef
ADS
Google scholar
|
[23] |
See, for example, E. Eisenberg, K. Held, and B. L. Altshuler, Phys. Rev. Lett., 2002, 88: 136801
CrossRef
ADS
Google scholar
|
[24] |
J. R. Anglin and A. Vardi, Phys. Rev. A, 2001, 64: 013605
CrossRef
ADS
Google scholar
|
[25] |
R. A. Duine and H. T. C. Stoof, New J. Phys., 2003, 5: 69
CrossRef
ADS
Google scholar
|
[26] |
G. F. Gribakin and V. V. Flambaum, Phys. Rev. A, 1993, 48: 546
CrossRef
ADS
Google scholar
|
[27] |
N. R. Claussen, S. J. J. M. F. Kokkelmans, S. T. Thompson, E. A. Donley, E. Hodby, and C. E.Wieman, Phys. Rev. A, 2003, 67: 060701(R)
CrossRef
ADS
Google scholar
|
[28] |
J. E. Williams, N. Nygaard, and C.W. Clark, New J. Phys., 2006, 8: 150
CrossRef
ADS
Google scholar
|
[29] |
A. Sinatra and Y. Castin, Phys. Rev. A, 2008, 78: 053615
CrossRef
ADS
Google scholar
|
[30] |
A. Sinatra, Y. Castin, and E. Witkowska, Phys. Rev. A, 2009, 80: 033614
CrossRef
ADS
Google scholar
|
[31] |
A. A. Norrie, R. J. Ballagh, and C. W. Gardiner, Phys. Rev. A, 2006, 73: 043617
CrossRef
ADS
Google scholar
|
[32] |
J. Liu, B. Liu, and L. B. Fu, Phys. Rev. A, 2008, 78: 013618
CrossRef
ADS
Google scholar
|
[33] |
B. Liu, L. B. Fu, and J. Liu, Phys. Rev. A, 2010, 81: 013602
CrossRef
ADS
Google scholar
|
[34] |
J. Liu, L. B. Fu, B. Liu, and B. Wu, New J. Phys., 2008, 10: 123018
CrossRef
ADS
Google scholar
|
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