Floquet solitons and dynamics of periodically driven matter waves with negative effective mass
Matthew Mitchell, Andrea Di Carli, German Sinuco Leon, Arthur La, Rooij, Stefan Kuhr, Elmar Haller

TL;DR
This paper experimentally demonstrates Floquet solitons in a periodically driven Bose-Einstein condensate, revealing their stability, dynamics, and the role of negative effective mass in such driven quantum systems.
Contribution
It provides the first experimental observation of Floquet solitons in a driven matter wave system and explains their stability using negative effective mass concepts.
Findings
Stable wave packets form at the BZ center after driving begins
Adding a trapping potential causes wave packet instability and redistribution
Negative effective mass influences interaction strength and stability
Abstract
We experimentally study the dynamics of weakly interacting Bose-Einstein condensates of cesium atoms in a 1D optical lattice with a periodic driving force. After a sudden start of the driving we observe the formation of stable wave packets at the center of the first Brillouin zone (BZ) in momentum space, and we interpret these as Floquet solitons in periodically driven systems. The wave packets become unstable when we add a trapping potential along the lattice direction leading to a redistribution of atoms within the BZ. The concept of a negative effective mass and the resulting changes to the interaction strength and effective trapping potential are used to explain the stability and the time evolution of the wave packets. We expect that similar states of matter waves exist for discrete breathers and other types of lattice solitons in periodically driven systems.
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