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

TL;DR

This paper demonstrates how the quantum behavior of neutral kaons, including CP violation, can be modeled using classical electric networks, providing a new way to simulate quantum phenomena in laboratory settings.

Contribution

It establishes a univocal isomorphism between quantum kaon dynamics and classical electric networks, enabling classical simulation of quantum CP violation phenomena.

Findings

Electric networks can replicate quantum kaon dynamics.

The CP violation parameter is reinterpreted through network parameters.

Numerical simulations and circuit constructions validate the model.

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.