Analogue models for $T$ and $CPT$ violation in neutral-meson oscillations

Abstract

Analogue models for $CP$ violation in neutral-meson systems are studied in a general framework. No-go results are obtained for models in classical mechanics that are nondissipative or that involve one-dimensional oscillators. A complete emulation is shown to be possible for a two-dimensional oscillator with rheonomic constraints, and an explicit example with spontaneous $T$ and $CPT$ violation is presented. The results have implications for analogue models with electrical circuits.