Fractatomic Physics: An Invitation with Atomic Stability and Rydberg States in Fractal Spaces
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914229412429824 |
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| author | Nghiem, Nhat A. Phan, Trung V. |
| author_facet | Nghiem, Nhat A. Phan, Trung V. |
| contents | We explore the physical quantum properties of atoms in fractal spaces, both as a theoretical generalization of normal integer-dimensional Euclidean spaces and as an experimentally realizable setting. We identify the threshold of fractality at which Ehrenfest atomic instability emerges, where the Schrödinger equation describing the wave-function of a single electron orbiting around an atom becomes scale-free, and discuss the potential of observing this phenomena in laboratory settings. We then study the Rydberg states of stable atoms using the Wentzel-Kramers-Brillouin approximation, along with a proposed extension for the Langer modification, in general fractal dimensionalities. We show that fractal space atoms near instability explode in size even at low-number excited state, making them highly suitable to induce strong entanglements and foster long-range many-body interactions. We argue that atomic physics in fractal spaces -- ``fractatomic physics'' -- is a rich research avenue deserving of further theoretical and experimental investigations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_16979 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractatomic Physics: An Invitation with Atomic Stability and Rydberg States in Fractal Spaces Nghiem, Nhat A. Phan, Trung V. Quantum Physics Atomic Physics We explore the physical quantum properties of atoms in fractal spaces, both as a theoretical generalization of normal integer-dimensional Euclidean spaces and as an experimentally realizable setting. We identify the threshold of fractality at which Ehrenfest atomic instability emerges, where the Schrödinger equation describing the wave-function of a single electron orbiting around an atom becomes scale-free, and discuss the potential of observing this phenomena in laboratory settings. We then study the Rydberg states of stable atoms using the Wentzel-Kramers-Brillouin approximation, along with a proposed extension for the Langer modification, in general fractal dimensionalities. We show that fractal space atoms near instability explode in size even at low-number excited state, making them highly suitable to induce strong entanglements and foster long-range many-body interactions. We argue that atomic physics in fractal spaces -- ``fractatomic physics'' -- is a rich research avenue deserving of further theoretical and experimental investigations. |
| title | Fractatomic Physics: An Invitation with Atomic Stability and Rydberg States in Fractal Spaces |
| topic | Quantum Physics Atomic Physics |
| url | https://arxiv.org/abs/2510.16979 |