  We establish a framework for a mechanism steering state vector collapse
through time evolution as described by the Schr\"odinger's equation. Under the
premise of a non-Hermitian Hamiltonian dynamics, a main outcome is that
collapse has to occur when the Hamiltonian completes a closed loop in the
parameter space encoding the interaction with the meter. For two-level systems,
we put forward the phenomenon of chiral state conversion as a mechanism
effectively eliminating superpositions. Our results open a way to simulate
quantum measurements in classical systems that up to now were restricted to the
Schr\"odinger part of the quantum dynamics.
