Magnon tunnelling between two magnon Bose–Einstein condensates

The rapid development of quantum magnonics can be attributed to its potential applications in quantum computing, information processing and the creation of hybrid quantum systems. Quantum quasiparticles, known as magnons, undergo Bose condensation at high densities, a phenomenon observed during radiofrequency excitation. This phenomenon was initially discovered in the antiferromagnetic superfluid \(^3\) $_{}^3$ He. Magnonic superfluidity effects, Josephson effect and magnon tunnelling were also observed in this system. Similar effects have been identified in yttrium iron garnet at room temperature, suggesting the possibility of utilising these effects in a manner akin to superconductivity. In this article, we conduct simulations of magnon tunnelling processes across the energy gap, aiming to compare these simulations with experimental findings.