Strong quenches in the one-dimensional Fermi-Hubbard model

Abstract

The one-dimensional Fermi-Hubbard model is used as testbed for strong global parameter quenches. With the aid of iterated equations of motion in combination with a suitable scalar product for operators we describe the dynamics and the long-term behavior in particular of the system after interaction quenches. This becomes possible because the employed approximation allows for oscillatory dynamics avoiding spurious divergences. The infinite-time behavior is captured by an analytical approach based on stationary phases; no numerical averages over long times need to be computed. We study the most relevant frequencies in the dynamics after the quench and find that the local interaction $U$ as well as the band width $W$ dominate. In contrast to former studies a crossover instead of a sharp dynamical transition depending on the strength of the quench is identified. For weak quenches the band width is more important while for strong quenches the local interaction $U$ dominates.