01470nas a2200145 4500008004100000245009500041210006900136260001400205520099100219100001801210700001601228700002001244700002301264856003701287 2019 eng d00aMomentum-space entanglement after a quench in one-dimensional disordered fermionic systems0 aMomentumspace entanglement after a quench in onedimensional diso c9/11/20193 a
We numerically investigate the momentum-space entanglement entropy and entanglement spectrum of the random-dimer model and its generalizations, which circumvent Anderson localization, after a quench in the Hamiltonian parameters. The type of dynamics that occurs depends on whether or not the Fermi level of the initial state is near the energy of the delocalized states present in these models. If the Fermi level of the initial state is near the energy of the delocalized states, we observe an interesting slow logarithmic-like growth of the momentum-space entanglement entropy followed by an eventual saturation. Otherwise, the momentum-space entanglement entropy is found to rapidly saturate. We also find that the momentum-space entanglement spectrum reveals the presence of delocalized states in these models for long times after the quench and the many-body entanglement gap decays logarithmically in time when the Fermi level is near the energy of the delocalized states.
1 aLundgren, Rex1 aLiu, Fangli1 aLaurell, Pontus1 aFiete, Gregory, A. uhttps://arxiv.org/abs/1909.05140