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Dark solitons and their head-on collisions in Bose-Einstein condensates

Makarov , Valeri A. and Velarde, Manuel G. and Guoxiang , Huang (2001) Dark solitons and their head-on collisions in Bose-Einstein condensates. Physical Review A , 64 (1). 013617-1. ISSN 1050-2947

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Abstract

The evolution and collision of dark solitary waves (solitons) appearing in cigar-shaped Bose-Einstein condensates with repulsive atom-atom interaction are here considered using a Boussinesq-Korteweg-de Vries description. We provide theoretical predictions and computer experiment evidence about their phase shifts or change of trajectories, in the space-time plot, corresponding upon collisions. Details are also given about a suggested experiment that could assess their genuine solitonic nature

Item Type:Article
Uncontrolled Keywords:Bose-Einstein condensation; Optical solitons; Quantum optics; Dark solitons; Head-on collisions; Bose-Einstein condensates; Dark solitary waves; Repulsive atom-atom interaction; Boussinesq-Korteweg-de Vries description; Computer experiment; Phase shifts; Space-time plot
Subjects:Sciences > Physics > Optics
ID Code:16950
References:

M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995) .

K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995) .

C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995) ; ibid.78, 985 (1997) .

D. G. Freid, T. C. Killian, L. Willmann, D. Landhuis, S. C. Moss, D. Kleppner, and T. J. Greytak, Phys. Rev. Lett. 81, 3811 (1998) .

A. S. Parkins and D. F. Walls, Phys. Rep. 303, 1 (1998) .

F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999) .

The reference list on the BEC homepage http://amo.phys.gasou.edu/bec.html.

M. R. Mattews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman, and E. A. Cornell, Phys. Rev. Lett. 83, 2498 (1999) .

S. Burger, K. Bongs, S. Dettmer, W. Ertmer, and K. Sengstock, Phys. Rev. Lett. 83, 5198 (1999) .

J. Denschlag, J. E. Simsarian, D. L. Feder, C. W. Clark, L. A. Collins, J. Cubizolles, L. Deng, E. W. Hagley, K. Helmerson, W. P. Reinhart, S. L. Rolston, B. I. Schneider, and W. D. Phillips, Science 287, 97 (2000) .

L. Deng, E. W. Hagley, J. W. En, M. Trippenbach, Y. Band, P. S. Julienne, J. E. Simsarian, K. Helmerson, S. L. Rolston, and W. D. Phillips, Nature (London) 398, 218 (1999) .

A. R. Bishop and T. Schneider, Solitons in Condensed Matter Physics (Springer, Berlin, 1978).

A. D. D. Craik, Wave Interactions and Fluid Flows (Cambridge University, Cambridge, England, 1985).

A. A. Nepomnyashchy and M. G. Velarde, Phys. Fluids 6, 187 (1994).

C. I. Christov and M. G. Velarde, Physica D 86, 323 (1995).

A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison Wesley, Red Wood, CA, 1992).

Y. S. Kivshar and B. A. Malomed, Rev. Mod. Phys. 61, 763 (1989) .

Y. S. Kivshar and B. Luther-Davies, Phys. Rep. 298, 81 (1998).

J. W. Miles, J. Fluid Mech. 79, 157 (1977);ibid.79, 171 (1977).

M. G. Velarde, A. A. Nepomnyashchy, and M. Hennenberg, Adv. Appl. Mech. 37, 167 (2000).

P. G. Drazin and R. S. Johnson, Solitons: An Introduction (Cambridge University, Cambridge, England, 1989).

W. P. Reinhart and C. W. Clark, J. Phys. B 30, L785 (1997) .

A. D. Jackson, G. M. Kavoulakis, and C. J. Pethick, Phys. Rev. A 58, 2417 (1998) .

R. Dum, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. 80, 2972 (1998) .

T. Hong, Y. Z. Wang, and Y. S. Huo, Phys. Rev. A 58, 3128 (1998) .

T. F. Scott, R. J. Ballagh, and K. Burnett, J. Phys. B 31, L329 (1998) .

A. E. Muryshev, H. B. van Linden van den Heuvell, and G. V. Shlyapnikov, Phys. Rev. A 60, R2665 (1999) .

P. O. Fedichev, A. E. Muryshev, and G. V. Shlyapnikov, Phys. Rev. A 60, 3220 (1999) .

L. Dobrek, M. Gajda, M. Lewenstein, K. Sengstock, G. Birkl, and W. Ertmer, Phys. Rev. A 60, R3381 (1999) .

D. Margetis, J. Math. Phys. 40, 5522 (1999) .

Th. Busch and J. R. Anglin, Phys. Rev. Lett. 84, 2298 (2000) .

D. L. Feder, M. S. Pindzola, L. A. Collins, B. I. Schneider, and C. W. Clark, Phys. Rev. A 62, 053606 (2000).

L. D. Carr, C. W. Clark, and W. P. Reinhardt, Phys. Rev. A 62, 063610 (2000).

L. D. Carr, M. A. Leung, and W. P. Reinhardt, J. Phys. B 33, 3983 (2000) .

T. Tsurumi and M. Wadati, J. Phys. Soc. Jpn. 67, 2294 (1998) .

C. I. Christov, G. A. Maugin, and M. G. Velarde, Phys. Rev. E 54, 3621 (1996).

A. Jeffery and T. Kawahawa, Asymptotic Methods in Nonlinear Wave Theory (Pitman, London, 1982).

V. M. Perez-Garcia, H. Michinel, and H. Herrero, Phys. Rev. A 57, 3837 (1998).

G. M. Kavoulakis and C. J. Pethick, Phys. Rev. A 58, 1563 (1998) .

M. R. Andrews, D. M. Kurn, H.-J. Miesner, D. S. Durfee, C. G. Townsend, S. Inouge, and W. Ketterle, Phys. Rev. Lett. 79, 553 (1997) [CAS]; ibid.80, 2967 (1998) .

N. J. Zabusky and M. D. Kruskal, Phys. Rev. Lett. 15, 240 (1965).

H. E. Crossley, Jr., CALTECH Report No. N-54.1, 1949 (unpublished).

C. H. Su and R. M. Mirie, J. Fluid Mech. 98, 509 (1980).

H. Linde, X.-L. Chu, and M. G. Velarde, Phys. Fluids A 5, 1068 (1993) .

Guoxiang Huang, Senyue Lou, and Zaixin Xu, Phys. Rev. E 47, R3830 (1993) .

Guoxiang Huang, M. G. Velarde, and V. N. Kurdyumov, Phys. Rev. E 57, 5473 (1998) .

H. Linde, M. G. Velarde, W. Waldhelm, and A. Wierschem, J. Colloid Interface Sci. 236 (in press).

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