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Open AccessReview

The Variational Reduction for Low-Dimensional Fermi Gases and Bose–Fermi Mixtures: A Brief Review

1
Departamento de Ciencias Físicas, Universidad de La Frontera, Casilla 54-D, Temuco 4811230, Chile
2
Instituto de Alta Investigación, CEDENNA, Universidad de Tarapacá, Casilla 7D, Arica 1000000, Chile
3
Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv IL-69978, Israel
*
Author to whom correspondence should be addressed.
Condens. Matter 2019, 4(1), 22; https://doi.org/10.3390/condmat4010022
Received: 26 December 2018 / Revised: 24 January 2019 / Accepted: 5 February 2019 / Published: 10 February 2019
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. View Full-Text
Keywords: Fermi gas; Bose Fermi mixture; dark solitons Fermi gas; Bose Fermi mixture; dark solitons
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MDPI and ACS Style

Díaz, P.; Laroze, D.; Malomed, B.A. The Variational Reduction for Low-Dimensional Fermi Gases and Bose–Fermi Mixtures: A Brief Review. Condens. Matter 2019, 4, 22. https://doi.org/10.3390/condmat4010022

AMA Style

Díaz P, Laroze D, Malomed BA. The Variational Reduction for Low-Dimensional Fermi Gases and Bose–Fermi Mixtures: A Brief Review. Condensed Matter. 2019; 4(1):22. https://doi.org/10.3390/condmat4010022

Chicago/Turabian Style

Díaz, Pablo; Laroze, David; Malomed, Boris A. 2019. "The Variational Reduction for Low-Dimensional Fermi Gases and Bose–Fermi Mixtures: A Brief Review" Condens. Matter 4, no. 1: 22. https://doi.org/10.3390/condmat4010022

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