Within a generalized Langevin framework for open quantum systems, the cyclic evolution of
a two-level system is analyzed in terms of the geometric phase extended to dissipative
systems for Ohmic friction. This proposal is applied to the dynamics of chiral molecules
where the tunneling and parity violating effects are competing. The effect of different system-
bath coupling functions in the dissipated energy is shown to be crucial to understand the
behavior of the geometric phase as well as the decoherence displayed by the …