• atomi freddi
• cold atoms
• confined systems
• fermioni interagenti
• Hubbard model
• interacting fermions
• LDA
• LDA
• modello di Hubbard
• optical lattices
• reticoli ottici
• sistemi confinati

Systems of interacting fermions in optical lattices, confined by a trapping interaction, can be described using the Hubbard Model in the Local Density Approximation (LDA). In the present work, we study the corrections to the LDA results, focusing in particular on analyzing their leading dependence on the trap size. We also study the scaling dependence on the trap size of the density and the density correlations in the limit of large trap size at fixed particle number, using the Trap Size Scaling (TSS) formalism.