arXiv quant-ph/99040541999-04-13quant-ph

具有SU（2）对称性系统量子态重构的反演光谱和干涉测量

Inverted spectroscopy and interferometry for quantum-state reconstruction of systems with SU(2) symmetry

C. Brif, A. Mann

备注：: 8 pages, REVTeX. More info on http://www.ligo.caltech.edu/~cbrif/science.html
发表信息：: J.Opt.B Quant.Semiclass.Opt. 2 (2000) 245-251
DOI：: 10.1088/1464-4266/2/3/305

摘要：

我们考虑如何重新安排传统的光谱和干涉方案，以服务于重建具有SU（2）对称性的物理系统的量子态。所讨论的系统包括一个集合的两个层次的原子，一个双模量子化的辐射场与一个固定的光子总数，和一个单一的激光冷却的离子在一个二维谐波陷阱与一个固定的振动量子总数。在建议的重排，标准的光谱和干涉实验被倒置。通常人们使用在已知量子态中制备的系统来测量未知的频率或相移。我们的目标正好相反，即，使用具有已知变换参数的良好校准的装置来测量未知的量子态。

英文摘要：

We consider how the conventional spectroscopic and interferometric schemes can be rearranged to serve for reconstructing quantum states of physical systems possessing SU(2) symmetry. The discussed systems include a collection of two-level atoms, a two-mode quantized radiation field with a fixed total number of photons, and a single laser-cooled ion in a two-dimensional harmonic trap with a fixed total number of vibrational quanta. In the proposed rearrangement, the standard spectroscopic and interferometric experiments are inverted. Usually one measures an unknown frequency or phase shift using a system prepared in a known quantum state. Our aim is just the inverse one, i.e., to use a well-calibrated apparatus with known transformation parameters to measure unknown quantum states.

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