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Quantum Simulation

Scaling approach for the time-dependent Kondo model

arXiv
Authors: C. Tomaras, S. Kehrein

Year

2010

Paper ID

10559

Status

Preprint

Abstract Read

~2 min

Abstract Words

76

Citations

N/A

Abstract

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 τ. We show that the asymptotic expectation value of the impurity spin interpolates continuously between its quenched and adiabatic value.

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  • 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.

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