Spin-1 Haldane phase in a chain of Rydberg atoms

2024/10/28 by Johannes Mögerle, Mögerle, J., Katharina Brechtelsbauer +17 · 7 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2410.21424

openalex publication_date 2024/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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.

Cited by

• Correlation functions at the topological quantum phase transition in the S=1 XXZ chain with single-ion anisotropy
• Measurement-Based Quantum Computation Using the Spin-1 XXZ Model with Uniaxial Anisotropy
• Nonanaliticities and ergodicity breaking in noninteracting many-body dynamics via stochastic resetting and global measurements
• Thermal states emerging from low-entanglement background in disordered spin models
• Remote spin control in Haldane spin chains
• Gapless fracton quantum spin liquid and emergent photons in a 2D spin-1 model
• Proposal for realizing Heisenberg-type quantum-spin models in Rydberg-atom quantum simulators

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