2018/03/06 by Tomasz Sowiński
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Degrees of freedom (physics and chemistry) #Fermion #Magnetization #Phase diagram #Physics of Superconductivity and Magnetism #Projection (relational algebra) #Quantum and electron transport phenomena #Spin (aerodynamics) #cond-mat.quant-gas
paper · pdf · doi:10.3390/condmat3010007
published as Condens. Matter 3, 7 (2018) · This article belongs to the Special Issue "New Trends in Quantum Complex Matter"
arxiv created 2018/03/06 · openalex publication_date 2018/03/06 · arxiv updated 2018/03/07 · openalex created_date 2018/03/29 · openalex updated_date 2026/08/05
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.