Two-axis twisting using Floquet-engineered XYZ spin models with polar molecules.

Miller, Calder; Carroll, Annette N; Lin, Junyu; Hirzler, Henrik; Gao, Haoyang; Zhou, Hengyun; Lukin, Mikhail D; Ye, Jun · Nature · 2024

basic_science · Level V

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Abstract

Polar molecules confined in an optical lattice are a versatile platform to explore spin-motion dynamics based on strong, long-range dipolar interactions<sup>1,2</sup>. The precise tunability<sup>3</sup> 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 dynamics<sup>4-6</sup>. Here we used Floquet engineering<sup>7</sup> to realize new quantum many-body systems of polar molecules. Using a spin encoded in the two lowest rotational states of ultracold <sup>40</sup>K<sup>87</sup>Rb 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 twisting<sup>8</sup> 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 measurement<sup>9</sup> or could take advantage of the rich molecular structure for quantum simulation of multi-level systems<sup>10,11</sup>.