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The Kondo effect is an ubiquitous phenomenon appearing at low temperature inquantum confined systems coupled to a continuous bath. Efforts in understandingand controlling it have triggered important developments across severaldisciplines of condensed matter physics. A recurring pattern in these studiesis that the suppression of the Kondo effect often results in intriguingphysical phenomena such as impurity quantum phase transitions ornon-Fermi-liquid behavior. We show that the fidelity susceptibility is asensitive indicator for such phenomena because it quantifies the sensitivity ofthe system's state with respect to its coupling to the bath. We demonstrate thepower of fidelity susceptibility approach by using it to identify the crossoverand quantum phase transitions in the one and two impurity Anderson models.

Fate of the Kondo Effect and Impurity Quantum Phase Transitions Through the Lens of Fidelity Susceptibility