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A two level system resonantly coupled to a single mode cavity field andsubject to ground state occupancy measurement like interaction is considered.For this situation, the solution to the Lindblad master equation for thedensity matrix is obtained with respect to the Jaynes Cummings eigenstaterepresentation. It is seen that, the rate of decoherence of the superpositionof the Jaynes Cummings eigenstates increases monotonically with the increase inthe occupancy measurement coupling up to a certain critical value (alreadyreported in the literature in a different context), whereas the rate decreaseswith the increase in the measurement coupling beyond the same critical value.

Evolution of coherence between the Jaynes - Cummings Eigenstates in the presence of repeated occupancy measurements: The case of resonant coupling