Scalar QED with Rydberg atoms

Yannick Meurice, James Corona, Sergio Cantu, Fangli Liu, Sheng-Tao Wang, Kenny Heitritter, Mrenna, Steve, Jin Zhang, Shan-Wen Tsai · arXiv (Cornell University) · 2023

We review recent suggestions to quantum simulate scalar electrodynamics (the lattice Abelian Higgs model) in $1+1$ dimensions with rectangular arrays of Rydberg atoms. We show that platforms made publicly available recently allow empirical explorations of the critical behavior of quantum simulators. We discuss recent progress regarding the phase diagram of two-leg ladders, effective Hamiltonian approaches and the construction of hybrid quantum algorithms targeting hadronization in collider physics event generators.

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