柏拉图图上伊辛自旋的量子模拟
Quantum simulation of Ising spins on Platonic graphs
AI总结：
该研究利用里德堡原子二维阵列与量子线耦合实现柏拉图图上类伊辛自旋的量子模拟，构建三种柏拉图图并探测其自旋基态，验证了量子线方法对大规模量子模拟的潜在价值。
摘要：
我们开展了柏拉图图上类伊辛自旋的量子模拟实验，实验利用里德堡原子二维阵列与量子线耦合实现。量子线用于耦合原本无相互作用的长距离原子，可实现三维图到二维平面的保拓扑变换。我们构建了三种柏拉图图，即柏拉图立体中的四面体、立方体和八面体，并在系统哈密顿量从顺磁相到类反铁磁相的准绝热控制前后，成功探测了它们的多体自旋基态构型。我们使用少于22个原子的小规模量子模拟受限于实验缺陷，而采用可实现1000个以上原子规模的前沿里德堡原子技术即可轻松改善这一问题。我们的量子线方法有望为大规模量子模拟开辟新路径。
英文摘要：
We present quantum simulation experiments of Ising-like spins on Platonic graphs, which are performed with two-dimensional arrays of Rydberg atoms and quantum-wire couplings. The quantum wires are used to couple otherwise uncoupled long-distance atoms, enabling topology-preserving transformtions of the three-dimensional graphs to the two-dimensional plane. We implement three Platonic graphs, tetrahedron, cube, and octahedron of Platonic solids, and successfully probe their ground many-body spin configurations before and after the quasi-adiabatic control of the system Hamiltonians from the paramagnetic phase to anti-ferromagnetic-like phases. Our small-scale quantum simulations of using less than 22 atoms are limited by experimental imperfections, which can be easily improved by the state-of-the-art Rydberg-atom technologies for more than 1000-atom scales. Our quantum-wire approach is expected to pave a new route towards large-scale quantum simulations.
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