@article{13506, author = {Calder Miller and Annette Carroll and Junyu Lin and Henrik Hirzler and Haoyang Gao and Hengyun Zhou and Mikhail Lukin and Jun Ye}, title = {Two-axis twisting using Floquet-engineered XYZ spin models with polar molecules}, abstract = {Polar molecules confined in an optical lattice are a versatile platform to explore spin-motion dynamics based on strong, long-range dipolar interactions1,2. The precise tunability3 of Ising and spin-exchange interactions with both microwave and d.c. electric fields makes the molecular system particularly suitable for engineering complex many-body dynamics4–6. Here we used Floquet engineering7 to realize new quantum many-body systems of polar molecules. Using a spin encoded in the two lowest rotational states of ultracold 40K87Rb molecules, we mutually validated XXZ spin models tuned by a Floquet microwave pulse sequence against those tuned by a d.c. electric field through observations of Ramsey contrast dynamics. This validation sets the stage for the realization of Hamiltonians inaccessible with static fields. In particular, we observed two-axis twisting8 mean-field dynamics, generated by a Floquet-engineered XYZ model using itinerant molecules in two-dimensional layers. In the future, Floquet-engineered Hamiltonians could generate entangled states for molecule-based precision measurement9 or could take advantage of the rich molecular structure for quantum simulation of multi-level systems10,11.}, year = {2024}, journal = {Nature}, volume = {633}, pages = {332-337}, month = {2024-09}, isbn = {1476-4687}, url = {https://doi.org/10.1038/s41586-024-07883-2}, doi = {10.1038/s41586-024-07883-2}, }