Scaling approach for the time-dependent Kondo model

Details Scaling approach for the time-dependent Kondo model Scaling approach for the time-dependent Kondo model

2010-11-04

arxiv.org/abs/1011.1281v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1209/0295-5075/93/47011

We present a new nonperturbative 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 $\tau$. We show that the asymptotic expectation value of the impurity spin interpolates continuously between its quenched and adiabatic value.

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