4.8 Article

Luttinger-liquid universality in the time evolution after an interaction quench

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PHYSICAL REVIEW LETTERS
卷 109, 期 12, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.109.126406

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  1. DFG [KA3360-1/1, FOR 912]

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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.

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