A scheme to realize a highly tunable extended fermionic t-J model in a programmable Rydberg-dressed optical-tweezer array, engineering independently tunable spin-exchange J, nearest-neighbor hopping t, and next-nearest-neighbor hopping t' -- freeing J/t and t'/t beyond the Hubbard-Mott constraint and the reach of cuprates. In the large-J/t regime the model exhibits Hilbert-space fragmentation with emergent conserved quantities from local entanglement, giving a many-body self-pinning effect and nonthermal dynamics that violate the eigenstate thermalization hypothesis within a Krylov subspace, opening neutral-atom simulation of high-Tc and nonergodic physics.
A cond-mat.quant-gas proposal (published in Phys. Rev. Lett. 136, 033402 (2026)) for realizing a highly tunable extended fermionic t-J model in a programmable Rydberg-dressed optical-tweezer array of…