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arXiv · 1205.2091

Luttinger liquid universality in the time evolution after an interaction quench

C. Karrasch·J. Rentrop·D. Schuricht·V. Meden
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Abstract

We provide strong 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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C. Karrasch, J. Rentrop, D. Schuricht, V. Meden. 2012-05-09. Luttinger liquid universality in the time evolution after an interaction quench. https://doi.org/10.1103/physrevlett.109.126406

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