| Issue |
EPL
Volume 93, Number 4, February 2011
|
|
|---|---|---|
| Article Number | 47011 | |
| Number of page(s) | 6 | |
| Section | Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties | |
| DOI | https://doi.org/10.1209/0295-5075/93/47011 | |
| Published online | 01 March 2011 | |
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
a
constantin.tomaras@physik.uni-muenchen.de
Received:
4
November
2010
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
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