Counterpropagating Matter Waves in Optical Lattices

• Authors: S. Prvanović , D. Jović , R. Jovanović , A. Strinić , M. Belić
• Languages of publication: EN

Abstracts

EN

An investigation of Bose-Einstein condensate in two-dimensional optical lattice potentials, formed by laser beams, is carried out. We are interested in the dynamics of Bose-Einstein condensate in a square optical lattice, where the periodic potential can lead to the stabilization of an otherwise unstable Bose-Einstein condensate. The behavior of Bose-Einstein condensate in optical lattices is described by the nonlinear Gross-Pitaevskii equation, which we treat numerically. By applying the Petviashvili iteration method, we demonstrate the existence of solitonic solutions in the case of counterpropagating matter waves, and analyze their stability.

Keywords

EN

03.75.Lm

Discipline

• 03.75.Lm: Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations(see also 74.50.+r Tunneling phenomena; Josephson effects in superconductivity)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 4
• Pages: 507-509

Dates

published

2009-10

Contributors

author

S. Prvanović

• Institute of Physics, P.O. Box 57, 11001 Belgrade, Serbia

author

D. Jović

• Institute of Physics, P.O. Box 57, 11001 Belgrade, Serbia
• Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar

author

R. Jovanović

• Institute of Physics, P.O. Box 57, 11001 Belgrade, Serbia
• Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar

author

A. Strinić

• Institute of Physics, P.O. Box 57, 11001 Belgrade, Serbia
• Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar

author

M. Belić

• Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar

References

• 1. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)
• 2. K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995)
• 3. B. Eiermann, P. Treutlein, Th. Anker, M. Albiez, M. Taglieber, K.-P. Marzlin, M.K. Oberthaler, Phys. Rev. Lett. 91, 060402 (2003)
• 4. B. Eiermann, Th. Anker, M. Albiez, M. Taglieber, P. Treutlein, K.-P. Marzlin, M.K. Oberthaler, Phys. Rev. Lett. 92, 230401 (2004)
• 5. H. Pu, L.O. Baksmaty, W. Zhang, N.P. Bigelow, P. Meystre, Phys. Rev. A 67, 043605 (2003)
• 6. E.A. Ostrovskaya, Yu. S. Kivshar, Phys. Rev. Lett. 90, 160407 (2003)
• 7. E.A. Ostrovskaya, Yu. S. Kivshar, Opt. Express 12, 19 (2004)
• 8. E.A. Ostrovskaya, Yu. S. Kivshar, Phys. Rev. Lett. 93, 160405 (2004)
• 9. T.J. Alexander, A.A. Sukhorukov, Yu.S. Kivshar, Phys. Rev. Lett. 93, 063901 (2004)
• 10. T.J. Alexander, E.A. Ostrovskaya, Yu.S. Kivshar, Phys. Rev. Lett. 96, 040401 (2006)
• 11. A.M. Dudarev, R.B. Diener, Q. Niu, J. Opt. B, Quantum Semiclassical Opt. 6, S231 (2004)
• 12. B.J. Dabrowska, E.A. Ostrovskaya, Y.S. Kivshar, J. Opt. B, Quantum Semiclass. Opt. 6, 423 (2004)
• 13. V.I. Petviashvili, Plasma Phys. 2, 469 (1976)

Identifiers

DOI

10.12693/APhysPolA.116.507