Nonequilibrium dynamics in a two-channel Kondo system due to a quantum quench

TL;DR

This paper investigates the nonequilibrium dynamics of a two-channel Kondo system after a sudden parameter quench, revealing slow impurity spin equilibration and persistent non-equilibrium in total spin correlations, highlighting non-Fermi liquid behavior.

Contribution

It provides the first detailed analysis of the real-time evolution of local and bulk quantities in a quenched two-channel Kondo system, emphasizing non-Fermi liquid effects.

Findings

Impurity spin and susceptibility equilibrate slowly over time.

Total spin-related quantities do not reach equilibrium.

Local quantities show power-law relaxation characteristic of non-Fermi liquids.

Abstract

Recent experiments by Potok et al. have demonstrated a remarkable tunability between a single-channel Fermi liquid fixed point and a two-channel non-Fermi liquid fixed point. Motivated by this we study the nonequilibrium dynamics due to a sudden quench of the parameters of a Hamiltonian from a single-channel to a two-channel anisotropic Kondo system. We find a distinct difference between the long time behavior of local quantities related to the impurity spin as compared to that of bulk quantities related to the total (conduction electrons + impurity) spin of the system. In particular, the local impurity spin and the local spin susceptibility are found to equilibrate, but in a very slow power-law fashion which is peculiar to the non-Fermi liquid properties of the Hamiltonian. In contrast, we find a lack of equilibration in the two particle expectation values related to the total spin of the system.