Entanglement dynamics and fractional quantum state transport in the spin-12 triangular plaquette

The dramatic growth of research areas within the province quantum state transmission (QST) is rapidly accelerating. An important insight to understand process QST can be fulfilled by considering dynamical behavior its entanglement content. One well-established approach continuously transfer states utilizing spin structures. Here, from view propagation, we disclose signature fractional possibilities. In present work, proposed a form spin-$\frac{1}{2}$ triangular plaquette whose Hamiltonian entails spin-orbit coupling on rungs and exchange interaction over legs. feature such system that time instants emerge in discrete fashion, thereby values interactions associated with these moments behave fractionally. Importantly, it found for special magnetic interaction, has singularity i.e., propagation forbidden. addition, finite-size nature this makes possible us read nexus between crystallinity symmetry breaking. development our knowledge about crystalline breaking helps defined concept fundamental physics phenomenon.