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Open AccessArticle

Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps

Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland
Condens. Matter 2018, 3(1), 7; https://doi.org/10.3390/condmat3010007
Received: 31 January 2018 / Revised: 28 February 2018 / Accepted: 5 March 2018 / Published: 6 March 2018
(This article belongs to the Special Issue New Trends in Quantum Complex Matter)
Ground-state properties of a few spin- 1 / 2 ultra-cold fermions confined in a one-dimensional trap are studied by the exact diagonalization method. In contrast to previous studies, it is not assumed that the projection of a spin of individual particles is fixed. Therefore, the spin is treated as an additional degree of freedom and the global magnetization of the system is established spontaneously. Depending on the shape of the trap, inter-particle interactions, and an external magnetic field, the phase diagram of the system is determined. It is shown that, for particular confinements, some values of the magnetization cannot be reached by the ground-state of the system. View Full-Text
Keywords: ultra-cold gasses; few-fermion systems; double-well confinement ultra-cold gasses; few-fermion systems; double-well confinement
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Sowiński, T. Ground-State Magnetization in Mixtures of a Few Ultra-Cold Fermions in One-Dimensional Traps. Condens. Matter 2018, 3, 7.

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