Nasari Hadiseh, Lopez-Galmiche Gisela, Lopez-Aviles Helena E, Schumer Alexander, Hassan Absar U, Zhong Qi, Rotter Stefan, LiKamWa Patrick, Christodoulides Demetrios N, Khajavikhan Mercedeh
Ming Hsieh Department of Electrical and Computer Engineering, University of Southern California, Los Angeles, CA, USA.
CREOL, The College of Optics & Photonics, University of Central Florida, Orlando, FL, USA.
Nature. 2022 May;605(7909):256-261. doi: 10.1038/s41586-022-04542-2. Epub 2022 May 11.
The adiabatic theorem, a corollary of the Schrödinger equation, manifests itself in a profoundly different way in non-Hermitian arrangements, resulting in counterintuitive state transfer schemes that have no counterpart in closed quantum systems. In particular, the dynamical encirclement of exceptional points (EPs) in parameter space has been shown to lead to a chiral phase accumulation, non-adiabatic jumps and topological mode conversion. Recent theoretical studies, however, have shown that contrary to previously established demonstrations, this behaviour is not strictly a result of winding around a non-Hermitian degeneracy. Instead, it seems to be mostly attributed to the non-trivial landscape of the Riemann surfaces, sometimes because of the presence of an EP in the vicinity. Here, in an effort to bring this counterintuitive aspect of non-Hermitian systems to light and confirm this hypothesis, we provide a set of experiments to directly observe the field evolution and chiral state conversion in an EP-excluding cycle in a slowly varying non-Hermitian system. To do so, a versatile yet unique fibre-based photonic emulator is realized that utilizes the polarization degrees of freedom in a quasi-common-path single-ring arrangement. Our observations may open up new avenues for light manipulation and state conversion, as well as providing a foundation for understanding the intricacies of the adiabatic theorem in non-Hermitian systems.
绝热定理作为薛定谔方程的一个推论,在非厄米系统中呈现出截然不同的表现形式,从而产生了在封闭量子系统中不存在的反直觉态转移方案。具体而言,在参数空间中对例外点(EPs)的动态环绕已被证明会导致手征相位积累、非绝热跃迁和拓扑模式转换。然而,最近的理论研究表明,与先前已有的论证相反,这种行为并非严格源于围绕非厄米简并的缠绕。相反,它似乎主要归因于黎曼曲面的非平凡地貌,有时是由于附近存在一个例外点。在此,为了揭示非厄米系统这一反直觉的方面并证实这一假设,我们提供了一组实验,以直接观察在一个缓慢变化的非厄米系统中,在一个不包含例外点的循环中的场演化和手征态转换。为此,我们实现了一个多功能且独特的基于光纤的光子模拟器,它在准共路单环结构中利用了偏振自由度。我们的观察结果可能会为光操纵和态转换开辟新途径,同时也为理解非厄米系统中绝热定理的复杂性奠定基础。