Stability and decay of Bloch oscillations in presence of time-dependent nonlinearity

Details Stability and decay of Bloch oscillations in presence of time-dependent nonlinearity Stability and decay of Bloch oscillations in presence of time-dependent nonlinearity

2011-09-13

arxiv.org/abs/1109.2798v2

Phys. Rev. A 84, 053627 (2011)

Physics

Condensed Matter

Quantum Gases

15 pages, 8 figures. Slightly amended final version

Scientific paper

10.1103/PhysRevA.84.053627

We consider Bloch oscillations of Bose-Einstein condensates in presence of a time-modulated s-wave scattering length. Generically, interaction leads to dephasing and decay of the wave packet. Based on a cyclic-time argument, we find---additionally to the linear Bloch oscillation and a rigid soliton solution---an infinite family of modulations that lead to a periodic time evolution of the wave packet. In order to quantitatively describe the dynamics of Bloch oscillations in presence of time-modulated interactions, we employ two complementary methods: collective-coordinates and the linear stability analysis of an extended wave packet. We provide instructive examples and address the question of robustness against external perturbations.

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