  The cyclic sudden switching of a magnetic impurity from Kondo to a non-Kondo
state and back was recently shown to involve an important dissipation of the
order of several $k_BT_K$ per cycle. The possibility to reveal this and other
electronic processes through nanomechanical dissipation by e.g., ultrasensitive
Atomic Force Microscope (AFM) tools currently represents an unusual and
interesting form of spectroscopy. Here we explore the dependence on the
switching time of the expected dissipation, a quantity whose magnitude is
physically expected to drop from maximum to zero between sudden and slow
switching, respectively. By applying a recently established
matrix-product-state based time-dependent variational algorithm to the magnetic
field-induced Kondo switching in an Anderson model of the magnetic impurity, we
find that dissipation requires switching within the Kondo time scale $\hbar(k_B
T_K)^{-1}$ or faster. While such a fast switching seems problematic for current
AFM setups, the challenge is open for future means to detect this dissipation
by time-dependent magnetic fields, electrostatic impurity level shift, or
hybridization switching.
