Temporal decay of Néel order in the one-dimensional Fermi-Hubbard model

摘要: Motivated by recent experiments with ultracold quantum gases in optical lattices we study the decay of staggered moment one-dimensional Fermi-Hubbard model starting from a perfect N\'eel state using exact diagonalization and infinite-system-size time-evolving-block-decimation method. This extends previous work which same problem has been addressed for pure spin Hamiltonians. As main result, show that relaxation dynamics double occupancy are different. The former is controlled nearest-neighbor tunneling rate while latter much slower strongly dependent on interaction strength, indicating excitations important. difference characteristic energy scales fast charge also reflected real-time evolution density correlations. A very interesting time dependence emerges von Neumann entropy, at short times increases linearly slope proportional to matrix element long-time growth entanglement excitations. Our predictions different should be observable state-of-the-art lattice experiments. We further compare averages expectation values both canonical diagonal ensembles, quantitatively disagree each other finite systems. relate question thermalization eigenstate hypothesis.