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首页> 外文期刊>Physical review >Interaction quench in the Hubbard model: Relaxation of the spectral function and the optical conductivity
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Interaction quench in the Hubbard model: Relaxation of the spectral function and the optical conductivity

机译：Hubbard模型中的相互作用猝灭：光谱函数和光导率的弛豫

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摘要

We use nonequilibrium dynamical mean-field theory in combination with a recently developed Quantum Monte Carlo impurity solver to study the real-time dynamics of a Hubbard model which is driven out of equilibrium by a sudden increase in the on-site repulsion U. We discuss the implementation of the self-consistency procedure and some important technical improvements of the QMC method. The exact numerical solution is compared to iterated perturbation theory, which is found to produce accurate results only for weak interaction or short times. Furthermore, we calculate the spectral functions and the optical conductivity from a Fourier transform on the finite Keldysh contour, for which the numerically accessible time scales allow to resolve the formation of Hubbard bands and a gap in the strongly interacting regime. The spectral function, and all one-particle quantities that can be calculated from it, thermalize rapidly at the transition between qualitatively different weak- and strong-coupling relaxation regimes.
机译：我们将非平衡动力平均场理论与最近开发的量子蒙特卡洛杂质求解器结合使用，研究了由于现场斥力U的突然增加而失去平衡的Hubbard模型的实时动力学。自洽程序的实施以及QMC方法的一些重要技术改进。将精确的数值解与迭代扰动理论进行比较，后者仅在相互作用较弱或时间较短时才能产生准确的结果。此外，我们从有限的Keldysh轮廓上的傅立叶变换中计算光谱函数和光导率，其数值可访问的时标可以解决Hubbard带的形成和强相互作用机制中的间隙。光谱函数以及可以从中计算出的所有单粒子数量，在定性不同的弱耦合和强耦合弛豫机制之间的过渡处快速热化。

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