2026-04-17T12:14:49Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1807782025-12-05T16:46:01Zcom_2072_1057col_2072_478823col_2072_478904col_2072_478917

00925njm 22002777a 4500 dc Rojo Francàs, Abel author Polls Martí, Artur author Juliá-Díaz, Bruno author 2021-10-22T13:04:10Z 2021-10-22T13:04:10Z 2020-07-21 2021-10-22T13:04:10Z We provide a detailed study of the properties of a few interacting spin 1/2 fermions trapped in a one-dimensional harmonic oscillator potential. The interaction is assumed to be well represented by a contact delta potential. Numerical results obtained by means of direct diagonalization techniques are combined with analytical expressions for both the non-interacting and strongly interacting regime. The N=2 case is used to benchmark our numerical techniques with the known exact solution of the problem. After a detailed description of the numerical methods, in a tutorial-like manner, we present the static properties of the system for N=2,3,4 and 5 particles, e.g., low-energy spectrum, one-body density matrix, ground-state densities. Then, we consider dynamical properties of the system exploring first the excitation of the breathing mode, using the dynamical structure function and corresponding sum-rules, and then a sudden quench of the interaction strength. Fermions Energia Física de partícules Fermions Energy Particle physics Static and Dynamic Properties of a Few Spin 1/2 Interacting Fermions Trapped in a Harmonic Potential