  We study the appearance of Exceptional Points in a hybrid system composed of
a superconducting flux-qubit and an ensemble of nitrogen-vacancy colour centres
in diamond. We discuss the possibility of controlling the generation of
Exceptional Points, by the analysis of the model space parameters. One of the
characteristic features of the presence of Exceptional Points, it is the
departure from the exponential decay behaviour of the observables as a function
of time. We study the time evolution of different initial states, in the
presence of the hybrid system, by computing the reduced density matrix of each
subsystem. We present the results we have obtained for the steady behaviour of
different observables. We analyse the appearance of Squeezed Spin States and of
anti-Squeezed Spin States.
