Proposal for realizing Heisenberg-type quantum-spin models in Rydberg-atom quantum simulators

2025/07/30 by Kunimi, Masaya, Tomita, Takafumi · 1 citation
#Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2507.22461

Abstract

We investigate the magnetic-field dependence of the interaction between two Rydberg atoms, |nS_1/2, m_J⟩ and |(n+1)S_1/2, m_J⟩. In this setting, the effective spin-1/2 Hamiltonian takes the form of an \it XXZ model. We show that the anisotropy parameter of the \it XXZ model can be tuned by applying a magnetic field and, in particular, that it changes drastically near the Förster resonance points. Based on this result, we propose experimental realizations of spin-1/2 and spin-1 Heisenberg-type quantum spin models in Rydberg atom quantum simulators, without relying on Floquet engineering. Our results provide guidance for future experiments of Rydberg atom quantum simulators and offer insight into quantum many-body phenomena emerging in the Heisenberg model.

Citations

• Statistical Localization in a Rydberg Simulator of U(1) Lattice Gauge Theory
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Benchmarking direct and indirect dipolar spin-exchange interactions between two Rydberg atoms
• Probing the Kitaev honeycomb model on a neutral-atom quantum computer
• Realization of a doped quantum antiferromagnet with dipolar tunnelings in a Rydberg tweezer array
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• Unravelling the Structures in the van der Waals Interactions of Alkali Rydberg Atoms
• Spin-1 Haldane phase in a chain of Rydberg atoms
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• Interacting Circular Rydberg Atoms Trapped in Optical Tweezers
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• A dual-species Rydberg array
• Strong Spin-Motion Coupling in the Ultrafast Dynamics of Rydberg Atoms
• Spectroscopy of elementary excitations from quench dynamics in a dipolar XY Rydberg simulator
• Quantum simulation of generic spin exchange models in Floquet-engineered Rydberg atom arrays
• Emergent pair localization in a many-body quantum spin system
• Probing topological spin liquids on a programmable quantum simulator
• Quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
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• Colloquium : Area laws for the entanglement entropy
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• A sine-square deformation approach to quantum critical points in one-dimensional systems

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