Bright Solitons in Asymmetrically Trapped Bose-Einstein Condensates

• Authors: Sk. Golam Ali , B. Talukdar , S. Roy
• Languages of publication: EN

Abstracts

EN

We study the dynamics of bright solitons in a Bose-Einstein condensate confined in a highly asymmetric trap. While working within the framework of a variational approach we carry out the stability analysis of the Bose-Einstein condensate solitons against collapse. When the number of atoms in the soliton exceeds a critical number N_c, it undergoes the so-called primary collapse. We find an analytical expression for N_c in terms of appropriate experimental quantities that are used to produce and confine the condensate. We further demonstrate that, in the geometry of the problem considered, the width of the soliton varies inversely as the number of constituent atoms.

Keywords

EN

03.75.-b   03.75.Kk   05.30.Jp  

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 111
• Issue: 3
• Pages: 289-297

Dates

published

2007-03

received

2007-02-12

References

• 1. J.L. Roberts, N.R. Claussen, James P. Burke, Jr., Chris H. Greene, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett., 81, 5109, 1998; D.E. Pelinovsky, P.G. Kevrekidis, D.J. Frantzeskakis, Phys. Rev. Lett., 91, 240201, 2004
• 2. K.E. Strecker, G.B. Partridge, A.G. Truscott, G.B. Hulet, Nature (London), 417, 150, 2002; L. Khaykowich, F. Schreck, G. Ferrari, T. Bourdel, J. Cubizoller, L.D. Carr, Y. Castin, C. Salomon, Science, 296, 1290, 2002
• 3. L.D. Carr, J. Brand, Phys. Rev. Lett., 92, 040401, 2004
• 4. V.M. Pérez-Garcia, H. Michinel, H. Herrero, Phys. Rev. A, 57, 3837, 1998
• 5. G.B. Arfken, H.J. Weber, Mathematical Method for Physicists, Elsevier, New Delhi 2004
• 6. L. Salasnich, A. Parola, L. Reatto, Phys. Rev. A, 66, 043603, 2002; K.E. Strecker, G.B. Partridge, A.G. Truscott, G.B. Hulet, New. J. Phys., 5, 73.1, 2003
• 7. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys., 71, 463, 1999
• 8. A.P. Ruprecht, M.J. Holland, K. Burnett, M. Edwards, Phys. Rev. A, 51, 4704, 1995
• 9. A. Gammal, T. Frederico, L. Tomio, Phys. Rev. A, 64, 055602, 2001
• 10. F. Kh. Abdullaev, A. Gammal, A.M. Kamchatnov, L. Tomio, Int. J. Mod. Phys. B, 19, 3415, 2005

Identifiers

DOI

10.12693/APhysPolA.111.289