Local measurement of Rydberg atom graphs

Rydberg atom systems are best represented by a mathematical graph with vertices denoting atoms and edges the nearest neighbor strong interactions. Here we use a single measurement qubit to probe the entire quantum dynamics of a massive Rydberg atom graph. This is in particular useful in Rydberg atom experiments, because the spatially measurable range of the Rydberg atoms is limited by the field of view on the focal plane of the optical detector (CCD, PMT, etc.), which results in not only forming a large-size Rydberg atom graph but also probing its dynamics technically challenging [1]. In experiments, we use a set of Rydberg atom graphs, which include a linear chain, a star graph, and a cyclic graph, and probe their dynamics in the nearest-neighbor blockade regime, by probing the time dynamics of the measurement qubit only. The result shows that the obtained Fourier-transformed dynamics are in good agreement with the corresponding many-body eigen-spectra.



[1] H. Sun, Y. Song, A. Byun, H. Jeong, and J. Ahn, “Imaging three-dimensional single-atom arrays all at once,” Opt. Express, 29(3), 4082 (2021).

[2] M. Kim, Y. Song, J. Kim, and J. Ahn, “Quantum Ising Hamiltonian Programming in Trio, Quartet, and Sextet Qubit Systems,” PRX Quantum, 1, 020323 (2020).