Dynamics of antiferromagnetic Dimers in Rydberg Atom Chains

TL;DR

This paper explores the dynamics of antiferromagnetic dimers in Rydberg atom chains, revealing how effective models and interactions influence subspace conservation and potential quantum simulation applications.

Contribution

It introduces an effective PXQ model for Rydberg chains, classifies dimer-conserving subspaces, and analyzes the effects of long-range interactions and leakage on dynamics.

Findings

Hilbert space decomposes into disconnected dimer-conserving subspaces.

Leakage from constrained subspace can be reduced by increasing NN interaction strength.

Long-range interactions influence dynamics but do not break dimer conservation.

Abstract

We investigate the dynamics of antiferromagnetic dimers within a Rydberg atom chain in the regime where laser detuning compensates for nearest-neighbor (NN) interactions. Using an effective PXQ model, we demonstrate that the associated Hilbert space decomposes into disconnected, dimer-conserving subspaces. The classification of these subspaces is provided, and the computational basis states spanning them are identified. Through a combination of analytical mapping and numerical simulations, we compare the dynamics of the PXQ model with those of the full Rydberg atom chain. The deviations are attributed to two factors, laser-induced leakage from the constrained Hilbert subspace and the influence of long-range interactions beyond the NN limit. Our results indicate that subspace leakage can be mitigated by increasing the NN interaction strength. While this simultaneously amplifies the effects of long-range interactions, the conservation of the dimer number remains. Our study opens up possibilities for exploring the dynamics of antiferromagnetic dimers using the Rydberg atom quantum simulator.