# Dynamics of Kondo voltage splitting after a quantum quench

## TL;DR

This paper investigates the real-time dynamics of Kondo peak splitting in an Anderson impurity model after a quantum quench, revealing a two-stage formation process and voltage-dependent timescales, with implications for experimental observation.

## Contribution

It provides a detailed analysis of the transient development and voltage dependence of Kondo peak splitting using a numerically exact quantum Monte Carlo approach.

## Key findings

- Kondo peak splits with voltage and temperature dependence.
- Transient formation involves a two-stage process.
- Splitting timescale strongly depends on voltage.

## Abstract

We analyze the time-dependent formation of the spectral function of an Anderson impurity model in the Kondo regime within a numerically exact real-time quantum Monte Carlo framework. At steady state, splitting of the Kondo peak occurs with nontrivial dependence on voltage and temperature, and with little effect on the location or intensity of high-energy features. Examining the transient development of the Kondo peak after a quench from an initially uncorrelated state reveals a two-stage process where the initial formation of a single central Kondo peak is followed by splitting. We analyze the time dependence of splitting in detail and demonstrate a strong dependence of its characteristic timescale on the voltage. We expect both the steady state and the transient phenomenon to be experimentally observable.