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

Abstract

We study the real-time dynamics of the Kondo effect after a quantum quench in which a magnetic impurity is coupled to two metallic Hubbard chains. Using an effective field theory approach, we find that for noninteracting electrons the charge current across the impurity is given by a scaling function that involves the Kondo time. In the interacting case, we show that the Kondo time decreases with the strength of the repulsive interaction and the time dependence of the current reveals signatures of the Kondo effect in a Luttinger liquid. In addition, we verify that the relaxation of the impurity magnetization does not exhibit universal scaling behavior in the perturbative regime below the Kondo time. Our results highlight the role of nonequilibrium dynamics as a valuable tool in the study of quantum impurities in interacting systems.

References in corpus (10)

• The numerical renormalization group method for quantum impurity systems
• The Luttinger model following a sudden interaction switch-on
• Real-time dynamics in Quantum Impurity Systems: A Time-dependent Numerical Renormalization Group Approach
• Kondo effect in quantum dots
• Kondo screening cloud in a one dimensional wire: Numerical renormalization group study
• Universal quench dynamics of interacting quantum impurity systems
• Nonequilibrium, spatio-temporal formation of the Kondo screening-cloud on a lattice
• Kondo Effect in Spin Chains
• Kondo screening cloud and the charge staircase in one-dimensional mesoscopic devices
• Quench dynamics and relaxation of a spin coupled to interacting leads

Cited by in corpus (4)

• Simulations of the dynamics of quantum impurity problems with matrix product states
• The topological Kondo model out of equilibrium
• Nano-welding of quantum spin-$1/2$ chains at minimal dissipation
• Transport in Single Quantum Dots: A Review from Linear Response to Nonlinear Regimes