Bloch oscillation in a Floquet engineering quadratic potential system
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917142553690112 |
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| author | Cao, J. Shen, H. Wang, R. Zhang, X. Z. |
| author_facet | Cao, J. Shen, H. Wang, R. Zhang, X. Z. |
| contents | We investigate the quantum dynamics of a one-dimensional tight-binding lattice driven by a spatially quadratic and time-periodic potential. Both Hermitian ($J_1 = J_2$) and non-Hermitian ($J_1 \neq J_2$) hopping regimes are analyzed. Within the framework of Floquet theory, the time-dependent Hamiltonian is mapped onto an effective static Floquet Hamiltonian, enabling a detailed study of the quasi-energy spectrum and eigenstate localization as function of the driving frequency $ω$. We identify critical frequencies $ω_c$ at which nearly equidistant quasi-energy ladders emerge, characterized by a pronounced minimum in the normalized variance of level spacings. This spectral regularity, which coincides with a peak in the mean inverse participation ratio (\textrm{MIPR}), leads to robust periodic revivals and Bloch-like oscillations in the time evolution. Numerical simulations confirm that such coherent oscillations persist even in the non-Hermitian regime, where the periodic driving stabilizes an almost real and uniformly spaced quasi-energy ladder. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2512_11675 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bloch oscillation in a Floquet engineering quadratic potential system Cao, J. Shen, H. Wang, R. Zhang, X. Z. Quantum Physics We investigate the quantum dynamics of a one-dimensional tight-binding lattice driven by a spatially quadratic and time-periodic potential. Both Hermitian ($J_1 = J_2$) and non-Hermitian ($J_1 \neq J_2$) hopping regimes are analyzed. Within the framework of Floquet theory, the time-dependent Hamiltonian is mapped onto an effective static Floquet Hamiltonian, enabling a detailed study of the quasi-energy spectrum and eigenstate localization as function of the driving frequency $ω$. We identify critical frequencies $ω_c$ at which nearly equidistant quasi-energy ladders emerge, characterized by a pronounced minimum in the normalized variance of level spacings. This spectral regularity, which coincides with a peak in the mean inverse participation ratio (\textrm{MIPR}), leads to robust periodic revivals and Bloch-like oscillations in the time evolution. Numerical simulations confirm that such coherent oscillations persist even in the non-Hermitian regime, where the periodic driving stabilizes an almost real and uniformly spaced quasi-energy ladder. |
| title | Bloch oscillation in a Floquet engineering quadratic potential system |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.11675 |