Dinámica cuántica de muchos cuerpos para el modelo t-J fermiónico simulado con arreglos de átomos

The fermionic t-J model has been widely recognized as a canonical model for broad range of strongly correlated phases, particularly the high-T_{c} superconductor. Simulating this model with controllable quantum platforms offers new possibilities to probe high-T_{c} physics, yet suffers challenges. Here we propose a novel scheme to realize a highly tunable extended t-J model in a programmable Rydberg-dressed tweezer array. Through engineering the Rydberg-dressed dipole-dipole interaction and intertweezer couplings, the fermionic t-J model with independently tunable exchange and hopping couplings is achieved. With the high tunability, we explore quantum many-body dynamics in the large J/t limit, a regime well beyond the conventional optical lattices and cuprates, and predict an unprecedented many-body self-pinning effect related to the local quantum entanglement with emergent conserved quantities. The self-pinning effect leads to novel nonthermal quantum many-body dynamics, which violates eigenstate thermalization hypothesis in Krylov subspace. Our prediction opens a new horizon in exploring exotic quantum many-body physics with t-J model, and shall also make a step toward simulating the high-T_{c} physics in neutral atom systems.