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arXiv · 2204.07283

Observing frustrated quantum magnetism in two-dimensional ion crystals

Mu Qiao·Zhengyang Cai·Ye Wang·Botao Du·Naijun Jin·Wentao Chen·Pengfei Wang·Chunyang Luan·Erfu Gao·Ximo Sun·Haonan Tian·Jingning Zhang·Kihwan Kim
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Abstract

Two-dimensional (2D) quantum magnetism is a paradigm in strongly correlated many-body physics. The understanding of 2D quantum magnetism can be expedited by employing a controllable quantum simulator that faithfully maps 2D-spin Hamiltonians. The 2D quantum simulators can exhibit exotic phenomena such as frustrated quantum magnetism and topological order and can be used to show quantum computational advantages. Many experimental platforms are being developed, including Rydberg atoms and superconducting annealers. However, with trapped-ion systems, which showed the most advanced controllability and quantum coherence, quantum magnetism was explored in one-dimensional chains. Here, we report simulations of frustrated quantum magnetism with 2D ion crystals. We create a variety of spin-spin interactions for quantum magnets, including those that exhibit frustration by driving different vibrational modes and adiabatically prepare the corresponding ground states. The experimentally measured ground states are consistent with the theoretical predictions and are highly degenerate for geometrically frustrated spin models in two dimensions. Quantum coherence of the ground states is probed by reversing the time evolution of the B-field to the initial value and then measuring the extent to which the remaining state coincides with the initial state. Our results open the door for quantum simulations with 2D ion crystals.

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Mu Qiao, Zhengyang Cai, Ye Wang, Botao Du, Naijun Jin, Wentao Chen, Pengfei Wang, Chunyang Luan, Erfu Gao, Ximo Sun, Haonan Tian, Jingning Zhang, Kihwan Kim. 2022-04-15. Observing frustrated quantum magnetism in two-dimensional ion crystals. https://arxiv.org/abs/2204.07283

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