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In this work, we studied the relaxation dynamics of coherences of differentorder present in a system of two coupled nuclear spins. We used a previouslydesigned model for intrinsic noise present in such systems which considers theLindblad master equation for Markovian relaxation. We experimentally createdzero-, single- and double- quantum coherences in several two-spin systems andperformed a complete state tomography and computed state fidelity. Weexperimentally measured the decay of zero- and double- quantum coherences inthese systems. The experimental data fitted well to a model that considers themain noise channels to be a correlated phase damping channel actingsimultaneously on both spins in conjunction with a generalized amplitudedamping channel acting independently on both spins. The differential relaxationof multiple-quantum coherences can be ascribed to the action of a correlatedphase damping channel acting simultaneously on both the spins.

Using a Lindbladian approach to model decoherence in two coupled nuclear spins via correlated phase-damping and amplitude damping noise channels