Engineering frustrated Rydberg spin models by graphical Floquet modulation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912765563633664 |
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| author | Tian, Mingsheng Samajdar, Rhine Gadway, Bryce |
| author_facet | Tian, Mingsheng Samajdar, Rhine Gadway, Bryce |
| contents | Arrays of Rydberg atoms interacting via dipole-dipole interactions offer a powerful platform for probing quantum many-body physics. However, these intrinsic interactions also determine and constrain the models -- and parameter regimes thereof -- for quantum simulation. Here, we propose a systematic framework to engineer arbitrary desired long-range interactions in Rydberg-atom lattices, enabling the realization of fully tunable $J_1$-$J_2$-$J_3$ Heisenberg models. Using site-resolved periodic modulation of Rydberg states, we develop an experimentally feasible protocol to precisely control the interaction ratios $J_2/J_1$ and $J_3/J_1$ in a kagome lattice. This control can increase the effective range of interactions and drive transitions between competing spin-ordered and spin liquid phases. To generalize this approach beyond the kagome lattice, we reformulate the design of modulation patterns through a graph-theoretic approach, demonstrating the universality of our method across all 11 planar Archimedean lattices. Our strategy overcomes the inherent constraints of power-law-decaying dipolar interactions, providing a versatile toolbox for exploring frustrated magnetism, emergent topological phases, and quantum correlations in systems with long-range interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01513 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Engineering frustrated Rydberg spin models by graphical Floquet modulation Tian, Mingsheng Samajdar, Rhine Gadway, Bryce Quantum Gases Materials Science Strongly Correlated Electrons Atomic Physics Arrays of Rydberg atoms interacting via dipole-dipole interactions offer a powerful platform for probing quantum many-body physics. However, these intrinsic interactions also determine and constrain the models -- and parameter regimes thereof -- for quantum simulation. Here, we propose a systematic framework to engineer arbitrary desired long-range interactions in Rydberg-atom lattices, enabling the realization of fully tunable $J_1$-$J_2$-$J_3$ Heisenberg models. Using site-resolved periodic modulation of Rydberg states, we develop an experimentally feasible protocol to precisely control the interaction ratios $J_2/J_1$ and $J_3/J_1$ in a kagome lattice. This control can increase the effective range of interactions and drive transitions between competing spin-ordered and spin liquid phases. To generalize this approach beyond the kagome lattice, we reformulate the design of modulation patterns through a graph-theoretic approach, demonstrating the universality of our method across all 11 planar Archimedean lattices. Our strategy overcomes the inherent constraints of power-law-decaying dipolar interactions, providing a versatile toolbox for exploring frustrated magnetism, emergent topological phases, and quantum correlations in systems with long-range interactions. |
| title | Engineering frustrated Rydberg spin models by graphical Floquet modulation |
| topic | Quantum Gases Materials Science Strongly Correlated Electrons Atomic Physics |
| url | https://arxiv.org/abs/2505.01513 |