Wang Kai, Weimann Steffen, Nolte Stefan, Perez-Leija Armando, Szameit Alexander
Opt Lett. 2016 Apr 15;41(8):1889-92. doi: 10.1364/OL.41.001889.
Beyond the adiabatic limit, the Aharonov-Anandan phase is a generalized description of Berry's phase. In this regime, systems with time-independent Hamiltonians may also acquire observable geometric phases. Here we report on a measurement of the Aharonov-Anandan phase in photonics. Different from previous optical experiments on geometric phases, the implementation is based on light modes confined in evanescently coupled waveguides rather than polarization-like systems, thereby physical models in more than two-dimensional Hilbert spaces are achievable. In a tailored photonic lattice, we realize time-independent quantum-driven harmonic oscillators initially prepared in the vacuum state and achieve a measurement of the Aharonov-Anandan phase via integrated interferometry.
超越绝热极限，阿哈罗诺夫 - 阿南丹相位是贝里相位的广义描述。在这种情况下，具有与时间无关哈密顿量的系统也可能获得可观测的几何相位。在此，我们报告了在光子学中对阿哈罗诺夫 - 阿南丹相位的测量。与先前关于几何相位的光学实验不同，该实验基于限制在倏逝耦合波导中的光模式，而非类似偏振的系统，从而能够实现二维以上希尔伯特空间中的物理模型。在一个定制的光子晶格中，我们实现了最初处于真空态的与时间无关的量子驱动谐振子，并通过集成干涉测量法实现了对阿哈罗诺夫 - 阿南丹相位的测量。
