The variational reduction for low-dimensional fermi gases and bose–fermi mixtures: A brief review

Pablo Díaz, David Laroze, Boris A. Malomed*

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

1 Scopus citations

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.

Original languageEnglish
Article number22
Pages (from-to)1-22
Number of pages22
JournalCondensed Matter
Volume4
Issue number1
DOIs
StatePublished - Mar 2019

Funding

FundersFunder number
Centers of Excellence with BASAL
Centers of Excellence with BASAL/CONICYT
PAI-CONICYT80160086
US-Israel) Science Foundation
National Science Foundation
United States-Israel Binational Science Foundation2015616
United States-Israel Binational Science Foundation
Comisión Nacional de Investigación Científica y TecnológicaFB0807
Comisión Nacional de Investigación Científica y Tecnológica
Fondo Nacional de Desarrollo Científico y Tecnológico1180905
Fondo Nacional de Desarrollo Científico y Tecnológico
Israel Science Foundation1287/17
Israel Science Foundation
Fondo Nacional de Desarrollo Científico, Tecnológico y de Innovación Tecnológica
Centro para el Desarrollo de la Nanociencia y la Nanotecnología

    Keywords

    • Bose fermi mixture
    • Dark solitons
    • Fermi gas

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