Nonlinear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
Nonlinear dynamics of the non-Hermitian Su-Schrieffer-Heeger model
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DOI：
10.1103/physrevb.105.104433
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发表时间：
2022-03-29
影响因子：
3.7
通讯作者：
Duine, Rembert A.
中科院分区：
文献类型：
--
作者：
Gunnink, Pieter M.;Flebus, Benedetta;Duine, Rembert A.
我们用数值方法确定了实现非厄米苏-施里弗-希格模型的自旋力矩振荡器阵列中激光边缘模式的鲁棒性。以往的研究发现，线性化的动力学可以进入一个拓扑区域，其中边缘模式被驱动到自振荡，而体动力学被抑制。在这里，我们研究了完整的非线性和有限温度动力学，其理解是必不可少的自旋扭矩的应用程序为基础。我们的分析表明，激光边缘模式动力学坚持在非线性域的参数和温度范围很广。我们研究了与实验实现相关的扰动的影响，并讨论了哪些扰动可能对激光边缘模式的稳定性有害。最后，我们将模型映射到光子模型上。我们的分析有可能揭示了大量的非埃尔米特系统的非线性动力学。
We numerically determine the robustness of the lasing edge modes in a spin-torque oscillator array that realizes the non-Hermitian Su-Schrieffer-Heeger model. Previous studies found that the linearized dynamics can enter a topological regime in which the edge mode is driven into auto-oscillation, while the bulk dynamics are suppressed. Here we investigate the full nonlinear and finite-temperature dynamics, whose understanding is essential for spin-torque oscillators-based applications. Our analysis shows that the lasing edge mode dynamics persist in the nonlinear domain for a broad range of parameters and temperatures. We investigate the effects of perturbations relevant to experimental implementations and discuss which ones might be detrimental to the stability of the lasing edge mode. Finally, we map our model onto a photonic model. Our analysis has the potential to shed light onto the dynamics of a plethora of non-Hermitian systems with nonlinearities.