Karnieli Aviv, Arie Ady
Raymond and Beverly Sackler School of Physics and Astronomy, Tel Aviv University, Ramat Aviv 69978, Tel Aviv, Israel.
School of Electrical Engineering, Iby and Aladar Fleischman Faculty of Engineering, Tel Aviv University, Ramat Aviv 69978, Tel Aviv, Israel.
Phys Rev Lett. 2018 Feb 2;120(5):053901. doi: 10.1103/PhysRevLett.120.053901.
We introduce a novel formalism in which the paraxial coupled wave equations of the nonlinear optical sum-frequency generation process are shown to be equivalent to the Pauli equation describing the dynamics of a spin-1/2 particle in a spatially varying magnetic field. This interpretation gives rise to a new classical state of paraxial light, described by a mutual beam comprising of two frequencies. As a straightforward application, we propose the existence of an all-optical Stern-Gerlach effect, where an idler beam is deflected by a gradient in the nonlinear coupling, into two mutual beams of the idler and signal waves (equivalent to oppositely oriented spinors), propagating in two discrete directions. The Stern-Gerlach deflection angle and the intensity pattern in the far field are then obtained analytically, in terms of the parameters of the original optical system, laying the grounds for future experimental realizations.
我们引入了一种新颖的形式体系，其中非线性光学和频产生过程的傍轴耦合波动方程被证明等同于描述自旋1/2粒子在空间变化磁场中动力学的泡利方程。这种解释产生了一种新的傍轴光经典态，由包含两个频率的相互光束描述。作为一个直接应用，我们提出存在一种全光斯特恩-盖拉赫效应，其中闲频光束因非线性耦合中的梯度而偏转到两个相互的闲频和信号波光束（等同于相反取向的旋量），沿两个离散方向传播。然后根据原始光学系统的参数解析地得到斯特恩-盖拉赫偏转角和远场强度分布，为未来的实验实现奠定了基础。
