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Sub-Diffractive Band-Edge Solitons in Bose-Einstein Condensates in Periodic Potentials

Kestutis Staliunas·Ramon Herrero·German J. de Valcarcel
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Abstract

A new type of matter wave diffraction management is presented that leads to sub-diffractive soliton-like structures. The proposed management technique uses two counter-moving, identical periodic potentials (e.g. optical lattices). For suitable lattice parameters a novel type of atomic band-gap structure appears in which the effective atomic mass becomes infinite at the lowest edge of an energy band. This way normal matter-wave diffraction (proportional to the square of the atomic momentum) is replaced by fourth-order diffraction, and hence the evolution of the system becomes sub-diffractive.

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Kestutis Staliunas, Ramon Herrero, German J. de Valcarcel. 2005-10-18. Sub-Diffractive Band-Edge Solitons in Bose-Einstein Condensates in Periodic Potentials. https://doi.org/10.1103/physreve.73.065603

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