We study numerically the effect of the on-site Hubbard interaction $U$ on the Anderson localization of two-interacting particles in a one-dimensional lattice with structural disorder. By solving the time-dependent Schrödinger equation to follow the time evolution of an initially localized two-electron state, we show the inter-particle interaction employing a non monotonic behavior on the Anderson localization. This non monotonic behavior is consistent with the results depicted by several many-body models in random potentials, which suggests an universal phenomenology for disordered systems. By studying the numerical solution of the time-independent Schrödinger equation, we reveal the origin of this non monotonic behavior: competitive aspects of the bounded and unbounded states of two-particle eigenstates. Ultimately, we show the disorder destroying the coherent Bloch oscillations induced by an electric field, even while particles have the proper interaction strength to correlate their motions.

我们通过数值研究了现场哈伯德相互作用的影响 $ü$一维晶格中具有结构无序的两个相互作用粒子的安德森局部化 通过求解与时间相关的薛定ding方程，以遵循初始局域化的两个电子态的时间演化，我们展示了在安德森局域化上采用非单调行为的粒子间相互作用。这种非单调的行为与几种多体模型在随机势中描述的结果一致，这表明了无序系统的普遍现象。通过研究与时间无关的薛定ding方程的数值解，我们揭示了这种非单调行为的起源：两个粒子本征态的有界和无界态的竞争方面。最终，我们显示出无序破坏了电场引起的相干布洛赫振荡，