Gauge theory description of Rydberg atom arrays with a tunable blockade radius

Abstract

We discuss a Rydberg atom chain with a tunable blockade radius from the gauge theoretic perspective. When the blockade radius is one lattice spacing, this system can be formulated in terms of the PXP model, and there is a ${\mathbb{Z}}_2$ Ising phase transition known to be equivalent to a confinement-deconfinement transition in a gauge theory, the lattice Schwinger model. Further increasing the blockade radius, one can add a next-nearest neighbor (NNN) interaction into the PXP model. We discuss the interpretation of NNN interaction in terms of the gauge theory and how finite NNN interaction alters the deconfinement behavior and propose a corresponding experimental protocol. When the blockade radius reaches two lattice spacing, the model reduces to the PPXPP model. A novel gauge theory equivalent to the PPXPP model is formulated, and the phases in the two formulations are delineated. These results are readily explored experimentally in Rydberg quantum simulators.

7 pages, 4 figures; a few more references added compared to the published version

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Cited by in corpus (9)

• Emergent Gauge Theory in Rydberg Atom Arrays
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Dynamical phase transition and scaling in the chiral clock Potts chain
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Random displacements in critical Rydberg atom arrays
• Partial confinement in a quantum-link simulator
• Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder
• Gapless deconfined phase in a ${\mathbb{Z}}_N$ symmetric Hamiltonian created in a cold-atom setup
• Quantum Complexity in Rule-Based Constrained Many-Body Models: Scars, Fragmentation, and Chaos