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

Abstract

A two level system resonantly coupled to a single mode cavity field and subject to ground state occupancy measurement like interaction is considered. For this situation, the solution to the Lindblad master equation for the density matrix is obtained with respect to the Jaynes Cummings eigenstate representation. It is seen that, the rate of decoherence of the superposition of the Jaynes Cummings eigenstates increases monotonically with the increase in the occupancy measurement coupling up to a certain critical value (already reported in the literature in a different context), whereas the rate decreases with the increase in the measurement coupling beyond the same critical value.