Quantum quenches and thermalization in one-dimensional fermionic systems

摘要: We study the dynamics and thermalization of strongly correlated fermions in finite one-dimensional lattices after a quantum quench. Our calculations are performed using exact diagonalization. focus on one- two-body observables such as momentum distribution function $[n(k)]$ density-density structure factor $[N(k)]$, respectively, effects approaching an integrable point. show that while relaxation $N(k)$ for is very similar to one hardcore bosons, behavior $n(k)$ distinctively different. The latter observable exhibits slower fermionic systems. identify origin this behavior, which related off-diagonal matrix elements basis eigenstates Hamiltonian. More generally, we find occurs far away from integrability it breaks down approaches