Measuring the out-of-equilibrium splitting of the Kondo resonance

An experiment is proposed to measure the out-of-equilibrium splitting of the Kondo resonance in an ultrasmall quantum dot, by adding a third, weakly coupled lead to the standard two-lead quantum-dot system, and sweeping the chemical potential of that lead. Fixing the voltage bias between the source and drain leads, we show that the differential conductance for the current through the third lead traces the out-of-equilibrium dot density of states (DOS) for the two-lead system. This enables one to measure the dot DOS in the presence of an applied voltage bias. We show that this method is robust, and extends also to the case where the coupling to the third lead is no longer weak.