论文标题
光学非线性的Floquet工程：量子多体方法
Floquet engineering of optical nonlinearities: a quantum many-body approach
论文作者
论文摘要
对物理系统进行时间周期性驱动可以实质性地修改其属性和应用程序。鉴于设计具有外来特性的合成系统，这种浮部工程方法已广泛应用于广泛的经典和量子设置。考虑到一类两模式非线性光学设备的一般类别，我们表明可以通过将光场对重复的脉冲序列进行效果来创建有效的光学非线性，该脉冲序列可以快速且时间周期性的方式将两种模式耦合。这些驱动诱导的光学非线性的强度（包括新出现的四波混合）可以通过简单地调整脉冲序列来改变。这会导致系统相空间的拓扑变化，可以通过光强度和相测量检测到。我们的提议建立在有效的Hamiltonian方法的基础上，该方法源于父母量子多体汉密尔顿，描述了驱动的相互作用玻色子。作为推论，我们的结果同样适用于驱动双孔电势中的Bose-Einstein冷凝水，其中配对隧道有效地来自周期性的脉冲序列。我们的计划提供了一条实用的途径，用于设计光子学和超低量子气体中的外来非线性和相互作用。
Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of classical and quantum settings in view of designing synthetic systems with exotic properties. Considering a general class of two-mode nonlinear optical devices, we show that effective optical nonlinearities can be created by subjecting the light field to a repeated pulse sequence, which couples the two modes in a fast and time-periodic manner. The strength of these drive-induced optical nonlinearities, which include an emerging four-wave mixing, can be varied by simply adjusting the pulse sequence. This leads to topological changes in the system's phase space, which can be detected through light intensity and phase measurements. Our proposal builds on an effective-Hamiltonian approach, which derives from a parent quantum many-body Hamiltonian describing driven interacting bosons. As a corollary, our results equally apply to Bose-Einstein condensates in driven double-well potentials, where pair tunneling effectively arises from the periodic pulse sequence. Our scheme offers a practical route to engineer and finely tune exotic nonlinearities and interactions in photonics and ultracold quantum gases.
