Quantum diffusion in the Harper model under polychromatic time-perturbation
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909705073328128 |
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| author | Yamada, Hiroaki S. Ikeda, Kensuke S. |
| author_facet | Yamada, Hiroaki S. Ikeda, Kensuke S. |
| contents | Quantum dynamics of the Harper model with self-duality exhibits localized, diffusive, and ballistic states depending on the potential strength $V$. By adding time-dependent harmonic perturbations composed of $M$ incommensurate frequencies, we show that all states of the Harper model transition to quantum diffusive states as the perturbation strength $ε$ increases for $M \geq 3$. The transition schemes and diffusion behaviors are discussed in detail and the phase diagram in the $(ε,V)$ parameter space is presented. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_18859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum diffusion in the Harper model under polychromatic time-perturbation Yamada, Hiroaki S. Ikeda, Kensuke S. Disordered Systems and Neural Networks Quantum Physics Quantum dynamics of the Harper model with self-duality exhibits localized, diffusive, and ballistic states depending on the potential strength $V$. By adding time-dependent harmonic perturbations composed of $M$ incommensurate frequencies, we show that all states of the Harper model transition to quantum diffusive states as the perturbation strength $ε$ increases for $M \geq 3$. The transition schemes and diffusion behaviors are discussed in detail and the phase diagram in the $(ε,V)$ parameter space is presented. |
| title | Quantum diffusion in the Harper model under polychromatic time-perturbation |
| topic | Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2507.18859 |