Bloch oscillations of Bose-Einstein condensates: Breakdown and revival
D. Witthaut, M. Werder, S. Mossmann, H. J. Korsch

TL;DR
This paper studies the nonlinear dynamics of Bose-Einstein condensates in tilted lattices, revealing decay and revival of Bloch oscillations and analyzing these phenomena with a simplified integrable model.
Contribution
It introduces a detailed analysis of Bloch oscillation breakdown and revival in BECs using a new integrable model based on Wannier-Stark states.
Findings
Bloch oscillations decay due to nonlinear dephasing
Pronounced revival phenomena are observed
Analysis with a simple integrable model explains the dynamics
Abstract
We investigate the dynamics of Bose-Einstein condensates (BEC) in a tilted one-dimensional periodic lattice within the mean-field (Gross-Pitaevskii) description. Unlike in the linear case the Bloch oscillations decay because of nonlinear dephasing. Pronounced revival phenomena are observed. These are analyzed in detail in terms of a simple integrable model constructed by an expansion in Wannier-Stark resonance states. We also briefly discuss the pulsed output of such systems for stronger static fields.
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