Artificial gauge fields in the t-z mapping for optical pulses: Spatiotemporal wave packet control and quantum Hall physics.
Artificial gauge fields in the t-z mapping for optical pulses: Spatiotemporal wave packet control and quantum Hall physics.
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DOI：
10.1126/sciadv.adj0360
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发表时间：
2023-10-20
期刊：
影响因子：
13.6
通讯作者：
Price, Hannah M.
中科院分区：
文献类型：
--
作者：
Oliver, Christopher;Mukherjee, Sebabrata;Rechstman, Mikael C.;Carusotto, Iacopo;Price, Hannah M.
我们通过设计一个合成的磁矢势，扩展了含时傍轴光学的t-z映射，得到了一个非平凡的能带拓扑。我们考虑耦合光波导的非均匀一维阵列，并表明，描述近轴传播的光脉冲的波动方程可以被改写为薛定谔方程，包括合成磁场，其强度可以通过控制整个阵列的波导属性的空间梯度。我们使用激光写入阵列的实验激励模型来证明这种合成磁场可以在现实的设置中进行工程设计，并且可以产生有趣的物理学，例如回旋运动，脉冲在空间或时间中的可控霍尔漂移，以及手性边缘状态的传播。这些结果大大扩展了可以在传播几何中探索的物理学，并为高维拓扑物理学和强相关的光流体铺平了道路。经典光学可以模拟粒子在磁场中的量子运动，从而控制光。
We extend the t-z mapping of time-dependent paraxial optics by engineering a synthetic magnetic vector potential, leading to a nontrivial band topology. We consider an inhomogeneous 1D array of coupled optical waveguides and show that the wave equation describing paraxial propagation of optical pulses can be recast as a Schrödinger equation, including a synthetic magnetic field whose strength can be controlled via the spatial gradient of the waveguide properties across the array. We use an experimentally motivated model of a laser-written array to demonstrate that this synthetic magnetic field can be engineered in realistic setups and can produce interesting physics such as cyclotron motion, a controllable Hall drift of the pulse in space or time, and propagation in chiral edge states. These results substantially extend the physics that can be explored within propagating geometries and pave the way for higher-dimensional topological physics and strongly correlated fluids of light. Classical optics can mimic the quantum motion of particles in a magnetic field, with consequences for controlling light.
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