Quantum dimer models with Rydberg gadgets

Abstract

The Rydberg blockade mechanism is an important ingredient in quantum simulators based on neutral atom arrays. It enables the emergence of a rich variety of quantum phases of matter, such as topological spin liquids. The typically isotropic nature of the blockade effect, however, restricts the range of natively accessible models and quantum states. In this work, we propose a method to systematically overcome this limitation, by developing gadgets, i.e., specific arrangements of atoms, that transform the underlying Rydberg blockade into more general constraints. We apply this technique to realize dimer models on square and triangular geometries. In these setups, we study the role of the quantum fluctuations induced by a coherent drive of the atoms and find signatures of $U(1)$ and ${\mathbb{Z}}_2$ quantum spin liquid states in the respective ground states. Finally, we show that these states can be dynamically prepared with high fidelity, paving the way for the quantum simulation of a broader class of constrained models and topological matter in experiments with Rydberg atom arrays.

7+8 pages, 3+10 figures

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Cited by in corpus (9)

• Quantum adiabatic optimization with Rydberg arrays: localization phenomena and encoding strategies
• Adiabatic echo protocols for robust quantum many-body state preparation
• Topological order in symmetric blockade structures
• Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
• Breakdown of the thermodynamic limit in quantum spin and dimer models
• Tunable two-species spin models with Rydberg atoms in circular and elliptical states
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
• Many-body quantum dimerization in 2D atomic arrays
• Exactly Solvable Topological Phase Transition in a Quantum Dimer Model