Entropy dynamics for a propeller-shaped quantum Brownian molecular rotator

Abstract

We investigate and analyze the time dependence of the so-called differential entropy as a measure of the dynamical stability of a one-dimensional, propeller-shaped quantum Brownian molecular rotator. The larger the entropy change, the more profound the instability (lower control) of the rotator. The quantum molecular rotator is modelled by the quantum Caldeira-Leggett master equation while assuming the external harmonic field for the rotator. Rotational stability is found relatively high for the constructed Gaussian states, especially for molecules with a larger number of blades.