Artem M Dudarev et al 2004 J. Opt. B: Quantum Semiclass. Opt. 6 S231 doi:10.1088/1464-4266/6/5/010
Artem M Dudarev1,2,4, Roberto B Diener1,3 and Qian Niu1
Show affiliationsWe suggest a method to experimentally obtain two-dimensional matter-wave discrete solitons with a self-repulsive Bose–Einstein condensate in optical lattices. At the edge of the Brillouin zone, a wavepacket effective mass is negative, which could be treated as an inversion of the nonlinearity sign. Above critical nonlinearity this makes the wavepackets collapse partially into localized modes with a chemical potential located in the gap between the first and the second bands. This critical nonlinearity is also associated with the smallest nonlinearity for which the discrete solitons are possible in the gap. Extensive numerical simulations for square and asymmetric honeycomb lattices in the continuous model illustrate every stage of the process.
42.65.Tg Optical solitons; nonlinear guided waves
02.60.Cb Numerical simulation; solution of equations
Quantum gases, liquids and solids
Issue 5 (May 2004)
Received 31 October 2003, accepted for publication 3 March 2004
Published 4 May 2004
Artem M Dudarev et al 2004 J. Opt. B: Quantum Semiclass. Opt. 6 S231
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