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Stability diagram and parametric excitation in a strongly interacting fermionic superfluid

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  • Li, Haoting
  • Wen, Wen
  • Wan, Jun
  • Li, Hui-jun
  • Wang, Ying

Abstract

We investigate, both analytically and numerically, the dynamics of an elongated and strongly interacting fermionic superfluid subjected to a periodic modulation of tightly transverse confinement. We start from an effective one-dimensional (1D) model that is obtained by integrating over the transverse degree of freedom in the Thomas–Fermi regime due to the strong interaction. Using the approach of complex Fourier series, we solve the damped Mathieu equation derived from the 1D model, and compare the stability diagrams between the strongly and weakly interacting regimes. We further numerically simulate the effective 1D model with the parameters as in experiment to study the Faraday-wave formation, as well as excitations in a low-frequency modulation. Our analytical and numerical findings can provide a theoretical support for the experiments on the observation of the Faraday waves in a strongly correlated regime.

Suggested Citation

  • Li, Haoting & Wen, Wen & Wan, Jun & Li, Hui-jun & Wang, Ying, 2025. "Stability diagram and parametric excitation in a strongly interacting fermionic superfluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 669(C).
    • Handle: RePEc:eee:phsmap:v:669:y:2025:i:c:s0378437125002420
    DOI: 10.1016/j.physa.2025.130590
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    References listed on IDEAS

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    1. Nicolin, Alexandru I., 2012. "Variational treatment of Faraday waves in inhomogeneous Bose–Einstein condensates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1062-1067.
    2. Logan W. Clark & Anita Gaj & Lei Feng & Cheng Chin, 2017. "Collective emission of matter-wave jets from driven Bose–Einstein condensates," Nature, Nature, vol. 551(7680), pages 356-359, November.
    3. Díaz, P. & Pérez, L.M. & Reyes, L.I. & Laroze, D. & Bragard, J., 2021. "Taming Faraday waves in binary fermionic clouds: The effect of Zeeman interaction," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    4. Gregor Jotzu & Michael Messer & Rémi Desbuquois & Martin Lebrat & Thomas Uehlinger & Daniel Greif & Tilman Esslinger, 2014. "Experimental realization of the topological Haldane model with ultracold fermions," Nature, Nature, vol. 515(7526), pages 237-240, November.
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