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arXiv · 2307.04922

Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes

Nikhil Kotibhaskar·Chung-You Shih·Sainath Motlakunta·Anthony Vogliano·Lewis Hahn·Yu-Ting Chen·Rajibul Islam
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Abstract

We propose and experimentally demonstrate an analog scheme for generating XY-type ($J_{ij}^x \sigma_x^i \sigma_x^j \;$ + $J_{ij}^y \sigma_y^i \sigma_y^j \;$) Hamiltonians on trapped ion spins with independent control over the $J_{ij}^x$ and $J_{ij}^y$ terms. The Ising-type interactions $\sigma_x^i \sigma_x^j \;$ and $\sigma_y^i \sigma_y^j \;$ are simultaneously generated by employing two spin-dependent forces operating in parallel on the same set of normal modes. We analytically calculate the region of validity of this scheme, and provide numerical and experimental validation with $^{171}\rm{Yb}^+\;$ ions. This scheme inherits the programmability and scalability of the Ising-type interactions with trapped ions that have been explored in numerous quantum simulation experiments. Our approach extends the capabilities of existing trapped ion quantum simulators to access a large class of spin Hamiltonians relevant for exploring exotic quantum phases such as superfluidity and spin liquids.

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Nikhil Kotibhaskar, Chung-You Shih, Sainath Motlakunta, Anthony Vogliano, Lewis Hahn, Yu-Ting Chen, Rajibul Islam. 2023-07-10. Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes. https://arxiv.org/abs/2307.04922

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