Abstract
This paper investigates the generation and robustness of two-magnon quantum correlation and coherence in noisy channels. The system consists of two-sublattice magnons interacting with photons inside a cavity, which leads to magnon-magnon and photon-magnon interactions. The influence of cavity dissipation and spontaneous emission on two-magnon dynamics is analyzed using several correlation and coherence measures (specifically, local quantum uncertainty, local quantum Fisher information, and concurrence) for different magnon-magnon and photon-magnon couplings. In the absence of the cavity dissipation and spontaneous emission, the results show the ability of the photon-magnon and magnon-magnon interactions (with a pure photon-magnon state as the initial state) to generate a maximal magnon-magnon mixedness and quantum correlation. The local quantum uncertainty and local quantum Fisher information exhibit sudden changes' phenomenon. In case of an initial maximal correlated two-magnon state, the local quantum Fisher information and the concurrence are not fragile in comparison with the local uncertainity by variation of photon-magnon interactions. The two-magnon correlations decrease as the spontaneous emission and the cavity dissipation increase, whereas the coherence of the two-magnon local quantum Fisher and local skew information is sustained at their maxima.