Crossover from Non-Equilibrium to Equilibrium Behavior in the Time-Dependent Kondo Model

Details Crossover from Non-Equilibrium to Equilibrium Behavior in the Time-Dependent Kondo Model Crossover from Non-Equilibrium to Equilibrium Behavior in the Time-Dependent Kondo Model

2004-05-10

arxiv.org/abs/cond-mat/0405193v2

Phys. Rev. B 71, 193303 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 2 figures; revised version contains added references and improved layout for figures

Scientific paper

10.1103/PhysRevB.71.193303

We investigate the equilibration of a Kondo model that is initially prepared in a non-equilibrium state towards its equilibrium behavior. Such initial non-equilibrium states can e.g. be realized in quantum dot experiments with time-dependent gate voltages. We evaluate the non-equilibrium spin-spin correlation function at the Toulouse point of the Kondo model exactly and analyze the crossover between non-equilibrium and equilibrium behavior as the non-equilibrium initial state evolves as a function of the waiting time for the first spin measurement. Using the flow equation method we extend these results to the experimentally relevant limit of small Kondo couplings.

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