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Open Quantum Systems Decoherence Quantum Simulation

Bifurcation trees of Stark-Wannier ladders for accelerated BECs in an optical lattice

arXiv

Authors: Andrea Sacchetti

Year

2016

Paper ID

41541

Status

Preprint

Abstract Read

~2 min

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Abstract

In this paper we show that in the semicassical 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.

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In this paper we show that in the semicassical regime of periodic potential large enough, the Stark-Wannier ladders become a dense energy spectrum because of a cascade of...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1612.09101 [2] arXiv https://arxiv.org/abs/1612.09101 [3] Publisher https://arxiv.org/abs/1612.09101

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