Dynamics of non-Hermitian Floquet Wannier-Stark system
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917875184304128 |
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| author | Zhang, H. P. Zhang, K. L. Song, Z. |
| author_facet | Zhang, H. P. Zhang, K. L. Song, Z. |
| contents | We study the dynamics of the non-Hermitian Floquet Wannier-Stark system in the framework of the tight-binding approximation, where the hopping strength is a periodic function of time with Floquet frequency $ω$. It is shown that the energy level of the instantaneous Hamiltonian is still equally spaced and independent of time $t$ and the Hermiticity of the hopping term. In the case of off resonance, the dynamics are still periodic, while the occupied energy levels spread out at the resonance, exhibiting $t^z$ behavior. Analytic analysis and numerical simulation show that the level-spreading dynamics for real and complex hopping strengths exhibit distinct behaviors and are well described by the dynamical exponents $z=1$ and $z=1/2$, respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13286 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamics of non-Hermitian Floquet Wannier-Stark system Zhang, H. P. Zhang, K. L. Song, Z. Quantum Physics We study the dynamics of the non-Hermitian Floquet Wannier-Stark system in the framework of the tight-binding approximation, where the hopping strength is a periodic function of time with Floquet frequency $ω$. It is shown that the energy level of the instantaneous Hamiltonian is still equally spaced and independent of time $t$ and the Hermiticity of the hopping term. In the case of off resonance, the dynamics are still periodic, while the occupied energy levels spread out at the resonance, exhibiting $t^z$ behavior. Analytic analysis and numerical simulation show that the level-spreading dynamics for real and complex hopping strengths exhibit distinct behaviors and are well described by the dynamical exponents $z=1$ and $z=1/2$, respectively. |
| title | Dynamics of non-Hermitian Floquet Wannier-Stark system |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2401.13286 |