Dynamics of non-Hermitian Floquet Wannier-Stark system

• URL: http://arxiv.org/abs/2401.13286v3
• Date: Fri, 20 Dec 2024 09:05:49 GMT
• Title: Dynamics of non-Hermitian Floquet Wannier-Stark system
• Authors: H. P. Zhang, K. L. Zhang, Z. Song,
• Abstract summary: We study the dynamics of the non-Hermitian Floquet Wannier-Stark system in the framework of the tight-binding approximation.<n>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.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 $\omega$. 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. 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.

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