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.

Bifurcation trees of Stark-Wannier ladders for accelerated Bose-Einstein condensates in an optical lattice / Sacchetti, Andrea. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 95:6(2017), pp. 062212-6 pagine. [10.1103/PhysRevE.95.062212]

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

SACCHETTI, Andrea
2017

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.
2017
15-giu-2017
95
6
062212
6 pagine
Bifurcation trees of Stark-Wannier ladders for accelerated Bose-Einstein condensates in an optical lattice / Sacchetti, Andrea. - In: PHYSICAL REVIEW. E. - ISSN 2470-0045. - 95:6(2017), pp. 062212-6 pagine. [10.1103/PhysRevE.95.062212]
Sacchetti, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1145100
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