Synthetic mesh lattice (SML) with temporally controlled potential is a versatile platform for realizing wave dynamics associated with physical areas of optics and quantum physics. Here, discrete optics in one-dimensional synthetic photonic lattice is investigated systematically, in which the light behavior is highly analogous to that in evanescently coupled one-dimensional discrete waveguides. Such a synthetic dimension is constructed with position-dependent periodic effective gauge fields based on the Aharonov–Bohm effect arising from the phase accumulation of the fiber loops. By tuning the phase accumulation and coupling coefficient of the coupler, the band translation and gap property can be modulated, which further results in the impulse and tailored Gaussian wave packet responses as well as Talbot recurrences. In addition, Bloch oscillations and Anderson localization can also be obtained when the phase accumulations are linearly changed and weakly modulated in a random manner, respectively. The periodic effective gauge fields configuration in our protocol enables SML to be a research platform for one-dimensional dynamically modulated elements or even non-Hermitian waveguides.

中文翻译：

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一维合成网格中的离散光学传播

具有暂时控制电位的合成网格（SML）是用于实现与光学和量子物理学的物理区域相关的波动力学的通用平台。在此，系统地研究了一维合成光子晶格中的分立光学器件，其中光行为与e逝耦合的一维分立波导中的光行为高度相似。这种综合尺寸是根据光纤环路的相位累积所产生的Aharonov-Bohm效应，根据位置相关的周期性有效规范场构造而成的。通过调整耦合器的相位累积和耦合系数，可以调节带平移和间隙特性，从而进一步产生脉冲和定制的高斯波包响应以及Talbot递归。此外，当相位累积分别以随机方式线性变化和弱调制时，也可以获得Bloch振荡和Anderson定位。我们协议中的周期性有效规范场配置使SML成为一维动态调制元素甚至非Hermitian波导的研究平台。