Taming Faraday waves in binary fermionic clouds: the effect of Zeeman interaction
Keywords: 
Cold atoms
Fermi-Fermi mixtures
Faraday waves
Issue Date: 
2021
ISSN: 
0960-0779
Note: 
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Citation: 
Diaz, P.; Pérez, L. M.; Reyes, L. I.; et al. "Taming Faraday waves in binary fermionic clouds: the effect of Zeeman interaction". Chaos, Solitons and Fractals. 153 (P1), 2021, 111416
Abstract
This work presents a study of the Faraday instability in a parametrically forced Fermi-Fermi mixture. The condensate is confined in the transversal spatial dimension with a strong parametric confinement potential and in the longitudinal spatial dimension with a weaker potential. The theoretical description is done using the mean-field theory with two amplitude equations that represent each spin state. In order to stabilize the Faraday patterns, a phenomenological damping term is introduced. The influence of the Zeeman interaction is analyzed in detail. In particular, phase diagrams of the existence and stability of the Faraday waves are calculated as a function of the Zeeman interaction, the coupling parameter, and the forcing amplitude. The degree of segregation of the two fields and their synchronization level is also calculated as a function of the Zeeman parameter. In addition, we examine how the pattern wavelength varies as a function of the Zeeman parameter and the forcing frequency

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