Circuit Chirp Asymmetry

The Sakharov conditions for leptogenesis (which led to the matter excess) in the early universe are succinctly satisfied in chirped systems in which a discrete symmetry is broken. There the process breaking the discrete symmetry is the analogue of CP violation, and the chirp speed is the analogue of the universe's cooling/expansion rate. In this circuit analog "matter" is represented by the circuit's excitation during an up-chirp and "anti-matter" by the response during a (true time reversed) down-chirp. We demonstrate this in theory and experiment with a two-pole resonant circuit with tunable effective CP-violation. We characterize its electrical response to frequency chirps, and at fixed effective CP violation show that the excitation asymmetry is proportional to the chirps speed (at low chirp speeds). The tuning of the effective CP violation at fixed chirp speed displays a crossover from futures that are "matter" dominated to those dominated by "antimatter". This study helps clarify the causes of asymmetries found in multiphoton rapid adiabatic passage (CAP, STIRAP) and enantomeric ripening.