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Dynamics of a non-Hermitian Floquet Wannier-Stark system
by Hong Peng Zhang, Kun Liang Zhang and Zhi Song
Submission summary
| Authors (as registered SciPost users): | Hong Peng Zhang |
| Submission information | |
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| Preprint Link: | scipost_202404_00005v1 (pdf) |
| Date submitted: | 2024-04-05 09:35 |
| Submitted by: | Zhang, Hong Peng |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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 $\mathcal{\omega }$. 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. Analytical 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.