Quantum simulation of Ising spins on Platonic graphs

Abstract

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.

Spatially programmable spin interactions in neutral atom arrays

“…While such an emulation approach eliminates any overhead in control necessities or qubit numbers, it strongly restricts the use cases of a specific quantum simulator to problems rooted in the device-dependent Hamiltonian. Here, neutral atoms trapped in optical tweezer arrays with engineered geometries in two dimensions, laser coupled to Rydberg states to induce interactions [5], are among the most promising platforms [6][7][8][9][10][11][12]. Large system sizes have been demonstrated with long coherence times [12,13], enabling the quantum simulation of quantum magnets both in equilibrium [14,15] and dynamically [16].…”