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arXiv · 1902.02676

The variational reduction for low-dimensional Fermi gases and Bose - Fermi mixtures: A brief review

Pablo Díaz·David Laroze·Boris A. Malomed
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Abstract

We present a summary of some recent theoretical results for matter-wave patterns in Fermi and Bose-Fermi degenerate gases, obtained in the framework of the quasi-mean-field approximation. We perform a dimensional reduction from the three-dimensional (3D) equations of motion to 2D and 1D effective equations. In both cases, comparison of the low-dimensional reductions to the full model is performed, showing very good agreement for ground-state solutions. Some complex dynamical regimes are reported too for the corresponding 1D systems.

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Pablo Díaz, David Laroze, Boris A. Malomed. 2019-02-07. The variational reduction for low-dimensional Fermi gases and Bose - Fermi mixtures: A brief review. https://arxiv.org/abs/1902.02676

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