4.6 Article

Quench dynamics of the Kondo effect: Transport across an impurity coupled to interacting wires

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Summary: We investigate a quantum quench where a magnetic impurity is suddenly connected to Hubbard chains described by Tomonaga-Luttinger liquid theory. By using tDMRG technique, we examine how the charge, spin, and entanglement propagate in the chains after the quench, and link light-cone velocities to holons and spinons dispersion. The study reveals that increasing interaction in the chains leads to faster decay of local magnetization at the impurity site, despite a decrease in spin velocity. The analytical expression derived for impurity magnetization relaxation aligns well with tDMRG results at intermediate timescales, offering valuable insights into the time evolution of Kondo screening cloud in interacting systems.

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