Li Yi, de Milly Xavier, Abreu Araujo Flavio, Klein Olivier, Cros Vincent, Grollier Julie, de Loubens Grégoire
Service de Physique de l'État Condensé, CEA, CNRS, Université Paris-Saclay, 91191 Gif-sur-Yvette, France.
Unité Mixte de Physique CNRS, Thales, Univ. Paris-Sud, Université Paris-Saclay, 91767 Palaiseau, France.
Phys Rev Lett. 2017 Jun 16;118(24):247202. doi: 10.1103/PhysRevLett.118.247202.
Phase coupling between auto-oscillators is central for achieving coherent responses such as synchronization. Here we present an experimental approach to probe it in the case of two dipolarly coupled spin-torque vortex nano-oscillators using an external microwave field. By phase locking one oscillator to the external source, we observe frequency pulling on the second oscillator. From coupled phase equations we show analytically that this frequency pulling results from concerted actions of oscillator-oscillator and source-oscillator couplings. The analysis allows us to determine the strength and phase shift of coupling between two oscillators, yielding important information for the implementation of large interacting oscillator networks.
自激振荡器之间的相位耦合是实现诸如同步等相干响应的关键。在此，我们提出一种实验方法，用于在两个偶极耦合的自旋扭矩涡旋纳米振荡器的情况下，利用外部微波场探测这种耦合。通过将一个振荡器与外部源进行锁相，我们观察到第二个振荡器的频率牵引现象。从耦合相位方程出发，我们通过分析表明，这种频率牵引是由振荡器 - 振荡器和源 - 振荡器耦合的协同作用导致的。该分析使我们能够确定两个振荡器之间耦合的强度和相移，为实现大型相互作用振荡器网络提供重要信息。
