Control of single spin-flips in a Rydberg atomic fractal
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arXiv
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| Autori principali: | , , , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909769081552896 |
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| author | Verstraten, Robin C. Knottnerus, Ivo H. A. Tseng, Yu Chih Urech, Alexander Santo, Tiago Santiago do Espirito Zampronio, Vinicius Schreck, Florian Spreeuw, Robert J. C. Smith, Cristiane Morais |
| author_facet | Verstraten, Robin C. Knottnerus, Ivo H. A. Tseng, Yu Chih Urech, Alexander Santo, Tiago Santiago do Espirito Zampronio, Vinicius Schreck, Florian Spreeuw, Robert J. C. Smith, Cristiane Morais |
| contents | Rydberg atoms trapped by optical tweezers have emerged as a versatile platform to emulate lattices with different geometries, in which long-range interacting spins lead to fascinating phenomena, ranging from spin liquids to topological states of matter. Here, we show that when the lattice has a fractal geometry with Hausdorff dimension 1.58, additional surprises appear. The system is described by a transverse-field Ising model with long-range van der Waals interactions in a Sierpinski gasket fractal. We investigate the problem theoretically using exact diagonalization, variational mean field, quantum Monte Carlo, and a graph-based numerical technique, SIM-GRAPH, which we developed. We find that in the quantum regime, the phase diagram exhibits phases in which the spins flip one-by-one. The theoretical results are in excellent agreement with experiments performed with single 88Sr atoms trapped by optical tweezers arranged in a fractal geometry. The magnetization and von Neumann entanglement entropy reveal several regimes in which single spin-flips are delocalized over many sites of one sublattice, thus allowing for an unprecedented control of a cascade of phase transitions in a manybody system. These results expand the possibilities of Rydberg atoms for quantum information processing and may have profound implications in quantum technology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03514 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Control of single spin-flips in a Rydberg atomic fractal Verstraten, Robin C. Knottnerus, Ivo H. A. Tseng, Yu Chih Urech, Alexander Santo, Tiago Santiago do Espirito Zampronio, Vinicius Schreck, Florian Spreeuw, Robert J. C. Smith, Cristiane Morais Quantum Gases Disordered Systems and Neural Networks Quantum Physics Rydberg atoms trapped by optical tweezers have emerged as a versatile platform to emulate lattices with different geometries, in which long-range interacting spins lead to fascinating phenomena, ranging from spin liquids to topological states of matter. Here, we show that when the lattice has a fractal geometry with Hausdorff dimension 1.58, additional surprises appear. The system is described by a transverse-field Ising model with long-range van der Waals interactions in a Sierpinski gasket fractal. We investigate the problem theoretically using exact diagonalization, variational mean field, quantum Monte Carlo, and a graph-based numerical technique, SIM-GRAPH, which we developed. We find that in the quantum regime, the phase diagram exhibits phases in which the spins flip one-by-one. The theoretical results are in excellent agreement with experiments performed with single 88Sr atoms trapped by optical tweezers arranged in a fractal geometry. The magnetization and von Neumann entanglement entropy reveal several regimes in which single spin-flips are delocalized over many sites of one sublattice, thus allowing for an unprecedented control of a cascade of phase transitions in a manybody system. These results expand the possibilities of Rydberg atoms for quantum information processing and may have profound implications in quantum technology. |
| title | Control of single spin-flips in a Rydberg atomic fractal |
| topic | Quantum Gases Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2509.03514 |