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Experimental Studies on Geometrical Properties of Wave Propagation

波传播几何性质的实验研究

基本信息

批准号：
09640482
负责人：
KITANO Masao
金额：
$ 2.05万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1997
资助国家：
日本
起止时间：
1997 至 1998
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09640482/
关键词：
wave propagation Berry Phases Quantum Zeno effect 幾何学パラメトリック振幅

项目摘要

We investigated geometrical features of 1D wave propagation and the quantum Zeno effect. The geometrical ingredients, such as spinor-like behavior of wave amplitudes, gauge transformations, Bloch-type equations, and Lorentz-group Berry phases, are reduced to the fact that the dynamics of 1D wave propagation is described by the (2*1)-dimensional Lorentz group or SL(2, R). On the other hand, the quantum Zeno effect is the suppression or the inhibition of the quantum dynamics. The effect is induced by the decoherence, which can be described also by the SL(2, R)-dynamics.[Quantum Zeno Effect in Wave Propagation] In polarization optics, dissipative elements such as polaroids can effectively destroy the coherence and induce the quantum Zeno effect.[Quantum Zeno Effect in Classical Systems] It has been found that the quantum Zeno effect emerges in the classical system. Experiments on electric circuits have been carried out to verify the classical Zeno effect.[Spin Manipulation with Quantum Zeno Effect] We have presented a novel optical pumping scheme by which atomic spin motion can be controlled without photon absorption in the fast pumping limit. The phenomenon can be understood in term of the quantum Zeno effect and the interaction-free measurement.The quantum Zeno effects in usual two-state system means the control of SU(2) dynamics by the SL(2, R) dynamics. But it might be possible to find cases where the SL(2, R) dynamics is controlled by the SL(2, R) dynamics.

我们研究了一维波传播的几何特征和量子Zeno效应。几何成分，例如波振幅的旋量行为，规范变换，布洛赫型方程和洛伦兹群Berry相位，被简化为这样一个事实，即一维波传播的动力学由（2*1）维洛伦兹群或SL（2，R）描述。另一方面，量子芝诺效应是对量子动力学的抑制。这种效应是由退相干引起的，退相干也可以用SL（2，R）-动力学来描述。【波传播中的量子芝诺效应】在偏振光学中，偏振片等耗散元件可以有效地破坏相干性，诱发量子芝诺效应。【经典系统中的量子芝诺效应】人们发现，经典系统中出现了量子芝诺效应。为了验证经典的芝诺效应，我们进行了电路实验。[Spin提出了一种新的光抽运方案，在快抽运极限下，利用该方案可以控制原子的自旋运动而不需要光子吸收。这一现象可以用量子Zeno效应和无相互作用测量来理解，通常两态系统中的量子Zeno效应是指SL（2，R）动力学对SU（2）动力学的控制。但是可能发现SL（2，R）动力学受SL（2，R）动力学控制的情况。