Quantum Analogue of Dzhanibekov Effect in Spin Systems: Theory and Computational Framework

We establish a fundamental correspondence between the classical Dzhanibekov effect and quantum spin dynamics in anisotropic magnetic environments. The theory predicts spontaneous spin flips when: (1) the effective field has intermediate anisotropy, (2) initial spin orientation aligns with theunstable axis. Three extensions are developed: dissipative dynamics, collective synchronization, and quantum tunneling corrections. Numericalprotocols for supercomputer implementation are provided, enabling experimental verification in quantum materials and spintronic devices.