Super Bloch oscillations with modulated interaction
Elena D\'iaz, Alberto Garc\'ia Mena, Kunihiko Asakura and, Christopher Gaul

TL;DR
This paper investigates how modulating interactions in ultracold atoms within shaken lattices can sustain super Bloch oscillations by controlling wave packet broadening and stability, revealing new long-lived oscillation regimes.
Contribution
It introduces a method to control super Bloch oscillations via phase tuning of interactions and shaking, demonstrating long-lived oscillations through symmetry-based stability.
Findings
Suppression of wave packet broadening.
Dynamical stability of oscillations.
Control of oscillation longevity through phase parameters.
Abstract
We study super Bloch oscillations of ultracold atoms in a shaken lattice potential, subjected to a harmonically modulated mean-field interaction. Usually, any interaction leads to the decay of the wave packet and its super Bloch oscillation. Here, we use the phases of interaction and shaking with respect to the free Bloch oscillation as control parameters. We find two types of long-living cases: (i) suppression of the immediate broadening of the wave packet, and (ii) dynamical stability of all degrees of freedom. The latter relies on the rather robust symmetry argument of cyclic time [Gaul et al., Phys. Rev. A 84, 053627 (2011)].
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