Luttinger-liquid universality in the time evolution after an interaction quench
Luttinger-liquid universality in the time evolution after an interaction quench
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DOI：
10.1103/physrevlett.109.126406
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发表时间：
2012-09-19
影响因子：
8.6
通讯作者：
Meden, V.
中科院分区：
文献类型：
--
作者：
Karrasch, C.;Rentrop, J.;Meden, V.
我们提供的证据表明，由于两粒子相互作用的幅值突变而产生的一维金属费米系统的驰豫动力学具有在Luttinger液体意义下的普遍性：某些可观测到的主要的长时间行为由平衡Luttinger液体参数和重整化速度的普适函数来描述。我们解析地推导出Tomonaga-Luttinger模型的这些函数，并通过在密度矩阵重整化群的框架内考虑无自旋晶格费米子来验证我们的普适性假设。
We provide evidence that the relaxation dynamics of one-dimensional, metallic Fermi systems resulting out of an abrupt amplitude change of the two-particle interaction has aspects which are universal in the Luttinger liquid sense: the leading long-time behavior of certain observables is described by universal functions of the equilibrium Luttinger liquid parameter and the renormalized velocity. We analytically derive those functions for the Tomonaga-Luttinger model and verify our hypothesis of universality by considering spinless lattice fermions within the framework of the density-matrix renormalization group.