Nonlinearly Induced PT Transition in Photonic Systems
Nonlinearly Induced PT Transition in Photonic Systems
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DOI：
10.1103/physrevlett.111.263901
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发表时间：
2013-12-27
影响因子：
8.6
通讯作者：
Segev, Mordechai
中科院分区：
文献类型：
--
作者：
Lumer, Yaakov;Plotnik, Yonatan;Segev, Mordechai
我们研究了非线性对具有周期性奇偶时间对称性的系统的影响，发现非线性可以使系统从破缺的对称性转变为完全的对称性，反之亦然。此外，我们表明，即使当非线性是不足以诱导从破碎到完整的PT对称性的过渡，仍然，波函数既不衰减也不发散，尽管事实上，该系统具有复杂的本征值谱。相反，波函数的振幅在跃迁点附近振荡。我们的研究结果适用于各种各样的光学系统和超越。
We study the effect of nonlinearity on systems with periodic parity-time (PT) symmetry, and show that nonlinearity can transform the system from broken to full PT symmetry and vice versa. Furthermore, we show that even when the nonlinearity is insufficient to induce a transition from broken to full PT symmetry, still, the wave functions neither decay nor diverge, despite the fact that the system has a complex eigenvalue spectrum. Rather, the amplitudes of the wavefunctions oscillate around the transition point. Our results apply to a wide variety of systems in optics and beyond.