非对称两态叠加多模叠加态光场的一种最小测不准态

Minimum Uncertainty State of a Kind of Multi-mode Light Field State of Superimposition State

根据量子力学的线性叠加原理,构造了由多模复共轭相干态的相反态{-Zj^（a）＊}〉q与多模虚共轭相干态的相反态{-iZj^（b）＊}〉q,两者线性叠加组成强度不等的非对称两态叠加多模叠加态光场｜ψII^（ab）〉q。利用多模压缩态理论,对态｜ψII^（ab）〉q的广义非线性高次压缩性质进行了详细分析。结果发现,若构成态｜ψ^II（ab）〉q的两个截然不同的量子光场态{-Zj^（a）＊}〉q和态{-iZj^（b）＊}〉q中,各对应模的强度（或平均光子数）满足qΣj=1Rj（a）N=qΣj=1R（b）Nj或q∏j=1R（a）Nj=q∏j=1Rj（b）N,并满足一定条件时,无论腔膜总数q、态间初始相位差（θnq（aR）-θnq（bI））,以及两态叠加的概幅rnq（aR）和rnq（bI）等如何变化,态ψII（ab）〉q总可以恒处于等幂次N-Y最小测不准态或等幂次N-H最小测不准态,成为一种新的相干态。

In this paper, according to the linear superposition principle in quantum mechanics, non-symmetry state superimposition state light fields ψII（ab ）〉q of different intensities are constructed with both the multi-mode complex conjugation coherent state of contrary state {-Z（ja＊）}〉q and the multi-mode imaginary conjugation coherent state of contrary state {-iZ（jb＊）}〉q, by utilizing the theory of multimode squeezed states, and the properties of the multi-mode superimposition state of differ-intensities of nonsymmetrical superimpositions state with distinguishable two quantum states are studied. It is found that when qΣj=1 R（ja＊）N= qΣj=1R（jb＊）Nor q∏j=1R（ja）N= q∏j=1R（jb＊）N,whilethe quantization conditions are satisfied by the constructed state ψII（ab）〉q with distinguishable two quantum states {-Z（ja＊）}〉q and {-iZ（jb＊）}〉q of the intensity of the corresponding mode （that is so-called average photon number）, no matter how to change the cavity mode and the initial phases of the whole mode, the difference of the initial phases of states （θnq（aR ）-θnq（bI）） and the probability amplitude superposition of two states rnq（aR）（or rnq（bI ））, the light field state of the superimposition state ψII（ab）〉q is always in the equal-order N-Y minimum uncertainty state and the equal-order N-H minimum uncertainty state.