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

Abstract

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.

This article belongs to the Special Issue "New Trends in Quantum Complex Matter"

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Cited by in corpus (4)

• One-dimensional mixtures of several ultracold atoms: a review
• Phase Separation Dynamics Induced by an Interaction Quench of a Correlated Fermi-Fermi Mixture in a Double Well
• Correlated Tunneling Dynamics of an Ultracold Fermi-Fermi Mixture Confined in a Double-Well
• Probing Ferromagnetic Order in Few-Fermion Correlated Spin-Flip Dynamics