How long does it take for the Kondo effect to develop?

Abstract

The time-development of the Kondo effect is theoretically investigated by studying a quantum dot suddenly shifted into the Kondo regime by a change of voltage on a nearby gate. Using time-dependent versions of both the Anderson and Kondo Hamiltonians, it is shown that after a time $t$ following the voltage shift, the form of the Kondo resonance matches the {\it time-independent} resonance at an effective temperature $T_{eff}=T/\tanh (\pi Tt/2)$. Relevance of the buildup of the Kondo resonance to the transport current through a quantum dot is demonstrated.

4 pages, 4 figures

References in corpus (1)

• Coherent control of macroscopic quantum states in a single-Cooper-pair box

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