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A model multilevel molecule described by two sets of rotational internalenergy levels of different parity and degenerate ground states, coupled by aconstant interaction, is considered, by assuming that the random collisions ina gas of identical molecules, provoke transitions between adjacent energylevels of the same parity. The prescriptions of the continuous time quantumrandom walk are applied to the single molecule, interpreted as an open quantumsystem, and the master equation driving its internal dynamics is built for ageneral distribution of the waiting times between two consecutive collisions.The coherence terms and the populations of the energy levels relax to theasymptotics with inverse power laws for relevant classes of non-Poissoniandistributions of the collision times. The stable asymptotic equilibriumconfiguration is independent of the distribution. The long time dynamics may behindered by increasing the tail of the distribution density. This effect may beinterpreted as the appearance of the quantum Zeno effect over long time scales.

Open system approach to the internal dynamics of a model multilevel molecule