Mechanisms of formation of gap solitons of Bose-Einstein condensates in optical lattices

Luis Plaja; J. San Román

doi:10.1117/12.682380

22 May 2006 Mechanisms of formation of gap solitons of Bose-Einstein condensates in optical lattices

Luis Plaja, J. San Román

Proceedings Volume 6256, ICONO 2005: Ultrafast Phenomena and Physics of Superintense Laser Fields; Quantum and Atom Optics; Engineering of Quantum Information; 62560R (2006) https://doi.org/10.1117/12.682380
Event: ICONO 2005, 2005, St. Petersburg, Russian Federation

Abstract

It is known that solitons of Bose-Einstein condensates with positive scattering lengths can be produced in optical lattices. The key of this process is the negative sign of the effective mass of the wavepacket as it comes closer to the edge of the first Brillouin zone. However, the underlying assumption of the effective mass approach is the slow variation of the wavefunction envelope between consecutive lattice cells. Previous experiments and computations on this type of solitons show that this is not the usual case. In this contribution we will go beyond the slowly varying assumption to demonstrate that the equations governing the dynamics of gap solitons contain a third derivative in the dispersion. As a result, the dynamics of the stabilized wavepackets is found different that the soliton's. In particular, a radiative component is present, and the stability under collisions is only partially achieved.

Citation Download Citation

Luis Plaja and J. San Román "Mechanisms of formation of gap solitons of Bose-Einstein condensates in optical lattices", Proc. SPIE 6256, ICONO 2005: Ultrafast Phenomena and Physics of Superintense Laser Fields; Quantum and Atom Optics; Engineering of Quantum Information, 62560R (22 May 2006); https://doi.org/10.1117/12.682380

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