Abstract
Rydberg-atom quantum simulators are of keen interest because of their possibilities towards high-dimensional qubit architectures. Here we report three-dimensional conformation spectra of quantum-Ising Hamiltonian systems with programmed qubit connections. With a Rydberg-atom quantum simulator, various connected graphs, in which vertices and edges represent atoms and blockaded couplings, respectively, are constructed in two or three-dimensional space and their eigenenergies are probed during their topological transformations. Star, complete, cyclic, and diamond graphs, and their geometric intermediates, are tested for four atoms and antiprism structures for six atoms. Spectroscopic resolution (dE/E) less than 10% is achieved and the observed energy level shifts and merges through structural transformations are in good agreement with the model few-body quantum-Ising Hamiltonian.
Highlights
Well-calibrated quantum many-body systems are currently in high demand because of their essential necessities for quantum applications such as quantum computing and quantum simulation [1,2,3]
We use a Rydberg-atom quantum simulator, of Hamiltonian H, to produce and tune a set of twoor three-dimensional arrangements of atoms, which are isomorphic to connected graphs {G} of N = 3–6 qubits, to model the quantum Ising Hamiltonian HG, and probe their graph-dependent eigenspectra, in particular, during structural transformations from one G to another
In order to probe the eigenspectra of an N -body quantum Ising Hamiltonian, we use a Rydberg-atom quantum simulator, which can (i) arrange N single atoms isomorphically to a connected graph, (ii) implement the Hamiltonian H
Summary
Well-calibrated quantum many-body systems are currently in high demand because of their essential necessities for quantum applications such as quantum computing and quantum simulation [1,2,3]. Among many promising physical platforms [4,5,6,7,8], Rydberg-atom quantum simulators, which use a mesoscopic-scale, deterministic arrangement of neutral atoms with controllable strong local interactions induced by Rydberg-atom excitation, draw latest attentions [9]. They have well-defined energy levels and relatively long coherence and lifetimes, and entanglements in these systems are generated with relative ease through giant dipole-dipole couplings in the Rydberg-atom blockade regime [10,11,12].
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