Real-time dynamics in the one-dimensional Hubbard model

Real-time dynamics in the one-dimensional Hubbard model
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一维 Hubbard 模型中的实时动力学

DOI:
10.1103/physrevb.90.245127
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发表时间:
2014
期刊:
影响因子:
3.7
通讯作者:
T. Veness
T. Veness
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
L. Seabra;F. H. L. Essler;F. Pollmann;I. Schneider;T. Veness

文献摘要

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我们考虑在金属相的相称填充的一维排斥哈伯德模型中的单粒子属性。我们通过矩阵积状态方法确定了延迟的绿色函数的实时演化。我们发现,在足够晚的时候,数值结果与非线性Luttinger液体理论的预测吻合得很好。我们认为,结合这两种方法提供了一种方法来确定单粒子谱函数具有很高的频率分辨率。
We consider single-particle properties in the one-dimensional repulsive Hubbard model at commensurate fillings in the metallic phase. We determine the real-time evolution of the retarded Green's function by matrix-product state methods. We find that at sufficiently late times the numerical results are in good agreement with predictions of nonlinear Luttinger liquid theory. We argue that combining the two methods provides a way of determining the single-particle spectral function with very high frequency resolution.