空间光模束宽的量子不确定性
Quantum Uncertainty in the Beam Width of Spatial Optical Modes
摘要：
我们从理论上研究了横光学模光束宽度的量子不确定性，并为此定义了相应的量子算符。研究了单模态以及具有小量子噪声的多模态。一般的关系推导，不同的模式和量子态的具体例子进行检查。对于多模情况，我们表明，光束宽度的量子不确定性可以完全归因于一个特定模式的振幅正交不确定性，这是唯一确定的调查领域。这一发现为我们提供了一种通过适当选择量子态来降低束宽噪声的策略。
英文摘要：
We theoretically investigate the quantum uncertainty in the beam width of transverse optical modes and, for this purpose, define a corresponding quantum operator. Single mode states are studied as well as multimode states with small quantum noise. General relations are derived, and specific examples of different modes and quantum states are examined. For the multimode case, we show that the quantum uncertainty in the beam width can be completely attributed to the amplitude quadrature uncertainty of one specific mode, which is uniquely determined by the field under investigation. This discovery provides us with a strategy for the reduction of the beam width noise by an appropriate choice of the quantum state.
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