Quantum phases of Rydberg atoms on a kagome lattice

Abstract

We analyze the zero-temperature phases of an array of neutral atoms on the kagome lattice, interacting via laser excitation to atomic Rydberg states. Density-matrix renormalization group calculations reveal the presence of a wide variety of complex solid phases with broken lattice symmetries. In addition, we identify a novel regime with dense Rydberg excitations that has a large entanglement entropy and no local order parameter associated with lattice symmetries. From a mapping to the triangular lattice quantum dimer model, and theories of quantum phase transitions out of the proximate solid phases, we argue that this regime could contain one or more phases with topological order. Our results provide the foundation for theoretical and experimental explorations of crystalline and liquid states using programmable quantum simulators based on Rydberg atom arrays.

10+11 pages, 7+8 figures; submitted to PNAS on July 28, 2020

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Cited by in corpus (12)

• Simulation of interaction-induced chiral topological dynamics on a digital quantum computer
• Phase Diagram of Triangular Lattice Quantum Ising Model under External Field
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Data-Enhanced Variational Monte Carlo Simulations for Rydberg Atom Arrays
• Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
• Quantum circuits for the preparation of spin eigenfunctions on quantum computers
• Quantum criticality of a ${\mathbb{Z}}_3$ symmetric spin chain with long-range interactions
• Re-entrance effect in the high-temperature critical phase of the quantum dimer model on the square lattice
• Quantum criticality in chains of planar rotors with dipolar interactions
• Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
• Molecular dipoles in designer honeycomb lattices
• Bulk and Boundary Quantum Phase Transitions in a Square Rydberg Atom Array