Scaling approach for the time-dependent Kondo model
Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians-Universität München Theresienstr. 37, D-80333 München, Germany, EU
Accepted: 3 February 2011
We present a new non-perturbative method to deal with the time-dependent quantum many-body problem, which is an extension of Wegner's flow equations to time-dependent Hamiltonians. The formalism provides a scaling procedure for the set of time-dependent interaction constants. We apply these ideas to a Kondo model with a ferromagnetic exchange coupling switched on over a time scale τ. We show that the asymptotic expectation value of the impurity spin interpolates continuously between its quenched and adiabatic value.
PACS: 72.15.Qm – Scattering mechanisms and Kondo effect
© EPLA, 2011