Speaker
Description
State-of-the-art quantum simulation platforms, such as those in Rydberg atomic systems or trapped ions, are inherently long-range interacting, yet little is known about how their unique excitations govern out-of-equilibrium dynamics in two dimensions. Numerically simulating this real-time evolution in 2D, however, poses a serious computational bottleneck. In this Letter, we overcome these challenges by deploying large-scale neural quantum state simulations together with analytical effective theory to investigate the post-quench dynamics of the 2D transverse-field Ising model with power-law decaying interactions. We discover that the system exhibits remarkably long-lived coherent oscillations and slow relaxation. To unveil the underlying physics, we develop an effective quasiparticle theory demonstrating that the long-range tail binds distant magnons into highly stable composite states that arrest thermalization. By systematically tuning the power-law exponent , we map the precise crossover from long-range bound-state dominance to the short-range limit where these excitations dissolve. Finally, we demonstrate that this magnon bound states picture is a generic, robust feature of 2D long-range quantum magnets, providing a universal framework to understand and exploit persistent quantum coherence in current experimental setups.