Dynamics of kicked matter-wave solitons in an optical lattice

Abstract

We investigate effects of the application of a kick to one-dimensional matter-wave solitons in a self-attractive Bose-Einstein condensate trapped in an optical lattice. The resulting soliton's dynamics is studied within the framework of the time-dependent nonpolynomial Schrodinger equation. The crossover from the pinning to quasi-free motion crucially depends on the size of the kick, strength of the self-attraction, and parameters of the optical lattice

Dynamics of a Bose-Einstein condensate in a horizontally vibrating shallow optical lattice

“…Since the equations of motion are nondissipative, an initial momentum can also depin the soliton and give it a nonzero average velocity. It turns out that for such a kicked soliton, the minimum initial momentum for depinning the condensate is greater for more localized solitons [25]. Shaking the periodic potential effectively reduces the height of the potential, lowering the threshold momentum for depinning [26].…”