Entropy squeezing and entanglement of the interaction between SU(1,1) and SU(2) quantum systems

► We have considered the most general form of the interaction between SU(1, 1) and SU(2) quantum systems. ► Our examination for the entropy squeezing shown that the nonclassical effects were sensitive by the variation in the involved parameters except Bergmann index k. ► The obsevation of a weak entanglement between the atom and the quantum system is reprted for a large value of the detuning parameter and vice versa. ► The Q-function is found to be also sensitive to the variation in excitation number m and Bergmann index k.