This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

Recent experiments with ultra-cold atoms have demonstrated the possibility of realizing
fermionic superfluids with imbalanced spin populations experimentally. We discuss how …

The dynamics and thermalization of classical systems have been extensively studied in the
past. However, the corresponding quantum phenomena remain, to a large extent, uncharted …

Under second-order degenerate perturbation theory, we show that the physics of N particles
with arbitrary spin confined in a one-dimensional trap in the strongly interacting regime can …

Expansion dynamics of interacting fermions in a lattice is simulated within the one-
dimensional (1D) Hubbard model, using the essentially exact time-evolving block …

We study the expansion dynamics of a one-dimensional polarized Fermi gas after its sudden
release from confinement using both the mean-field Bogoliubov–de Gennes and the …

Using the time-dependent density matrix renormalization-group method and exact
diagonalization, we study the nonequilibrium dynamics of the one-dimensional Fermi …

Quantum Monte Carlo (QMC) techniques are used to provide an approximation-free
investigation of the phases of the one-dimensional attractive Hubbard Hamiltonian in the …

We investigate the ground-state properties of trapped fermion systems described by the
Hubbard model with an external confining potential. We discuss the universal behaviors of …

We present real-space dynamical mean-field theory calculations for attractively interacting
fermions in three-dimensional lattices with elongated traps. The critical polarization is found …