Spin-1 Haldane phase in a chain of Rydberg atoms

Abstract

We present a protocol to implement a spin-1 chain in Rydberg systems using three Rydberg states close to a Förster resonance. In addition to dipole-dipole interactions, strong van der Waals interactions naturally appear due to the presence of the Förster resonance and give rise to a highly tunable Hamiltonian. The resulting phase diagram is studied using the infinite density-matrix renormalization group and reveals a highly robust Haldane phase -- a prime example of a symmetry protected topological phase. We find experimentally accessible parameters to probe the Haldane phase in current Rydberg systems, and demonstrate an efficient adiabatic preparation scheme. This paves the way to probe the remarkable properties of spin fractionalization in the Haldane phase.

12 pages, 8 figures

References in corpus (16)

• Many-Body Physics with Individually-Controlled Rydberg Atoms
• An atom-by-atom assembler of defect-free arbitrary 2d atomic arrays
• Probing Topological Spin Liquids on a Programmable Quantum Simulator
• Time-evolving a matrix product state with long-ranged interactions
• Hidden order in 1D Bose insulators
• Implementation of Spin Hamiltonians in Optical Lattices
• Prediction of Toric Code Topological Order from Rydberg Blockade
• Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions
• Anomalous Behavior of Spin Systems with Dipolar Interactions
• Designing spin-1 lattice models using polar molecules
• Antiferromagnetic bosonic $t$-$J$ models and their quantum simulation in tweezer arrays
• Precision preparation of strings of trapped neutral atoms
• Spin-1 Haldane chains of superconductor-semiconductor hybrids

Cited by in corpus (7)

• Realization of a doped quantum antiferromagnet with dipolar tunnelings in a Rydberg tweezer array
• Benchmarking direct and indirect dipolar spin-exchange interactions between two Rydberg atoms
• Realization of a fast triple-magic all-optical qutrit in strontium-88
• Ultracold atomic lattice systems for simulating topological phases: A review
• Measurement-Based Quantum Computation Using the Spin-1 XXZ Model with Uniaxial Anisotropy
• Higgs and Nambu-Goldstone modes in a spin-1 $XY$ model with long-range interactions
• Correlation functions at the topological quantum phase transition in the S=1 XXZ chain with single-ion anisotropy