The fermionic $t\text{−}J$ model has been widely recognized as a canonical model for broad range of strongly correlated phases, particularly the high-$T_{\mathrm{c}}$ superconductor. Simulating this model with controllable quantum platforms offers new possibilities to probe high-$T_{\mathrm{c}}$ physics, yet suffers challenges. Here we propose a novel scheme to realize a highly tunable extended $t\text{−}J$ model in a programmable Rydberg-dressed tweezer array. Through engineering the Rydberg-dressed dipole-dipole interaction and intertweezer couplings, the fermionic $t\text{−}J$ 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 $t\text{−}J$ model, and shall also make a step toward simulating the high-$T_{\mathrm{c}}$ physics in neutral atom systems.

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• Eigenstate thermalization
• Quantum simulation
• Quantum statistical mechanics
• Nonequilibrium systems
• Rydberg atoms & molecules
• Strongly correlated systems
• Optical tweezers
• t-J model