The quantum CP-violating kaon system reproduced in the electronic laboratory (Homage to Nolberto Martinez)

Abstract

The equivalence between the $\mathrm{Schr\ddot{o}dinger}$ dynamics of a quantum system with a finite number of basis states and a classical dynamics is realized in terms of electric networks. The isomorphism that connects in a univocal way both dynamical systems was applied to the case of neutral mesons, kaons in particular, and the class of electric networks univocally related to the quantum system was analyzed. Moreover, under $CPT$ invariance, the relevant $\epsilon$ parameter that measures $CP$ violation in the kaon system is reinterpreted in terms of network parameters. All these results were explicitly shown by means of both a numerical simulation of the implied networks and by constructing the corresponding circuits.