Chirality transmission in a system-environment model for interacting chiral molecules

In this work, we present a model of the interaction between a central chiral molecule and a collection of chiral molecules, represented by a spin environment. By using action-angle coordinates we establish a classical-quantum mapping of the total system, enabling us to study the dynamics of the central chiral molecule using Hamilton’s equations. Within this framework, we couple the population difference between the system and the environment, generalizing in some sense the usual spin-spin interaction. Among the different results we obtain, we highlight the suppression of the tunneling and what we call a chirality transmission effect from the environment to the central molecule. Finally, we argue that our system-environment coupling could represent a P-odd long-range interaction as, for instance, P-odd Van der Waals forces or mixed -photon fermion vacuum polarization.