Bifurcation trees of Stark-Wannier ladders for accelerated Bose-Einstein condensates in an optical lattice.

Sacchetti, Andrea · Phys Rev E · 2017

basic_science · Level V

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Abstract

In this paper we show that in the semiclassical regime of periodic potential large enough, the Stark-Wannier ladders become a dense energy spectrum because of a cascade of bifurcations while increasing the ratio between the effective nonlinearity strength and the tilt of the external field; this fact is associated to a transition from regular to quantum chaotic dynamics. The sequence of bifurcation points is explicitly given.