α~4的正交归一化本征态的振幅平方压缩特性

THE AMPLITUDE-SQUARED SQUEEZING CHARACTERISTIC OF ORTHONORMALI-ZATION EIGENSTATES OF a^4

本文介绍了求解光子消灭算符α的N次幂α~N的N个正交归一化本征态的一般方法。叙述了光子消灭算符α的四次幂的四个正交归一化本征态的具体表达方式,详细研究了这四个正交归一化本征态的振幅平方压缩特性,结果表明这四个本征态均存在振幅平方压缩特性,从而进一步丰富了对α~N的正交归一化本征态的量子特性的认识。

In this paper, the general method which was used to exact the N orthonormalization eigenstates of a^N Nth power of photon annihiation operator was introduced, the con- crete expression of four orthonormalization eigenstates of a^4 fourth power of photon annihiation were recounted and the amplitude-squared aqueezing characteristic of four orthonormalization eigenstates of a^4 fourth power of photon annihiation operator were studied in detail, the results expressed that these four eigenststes all exhibit the amplitude-squared squeezing characteristic, therefore we enriched the understanding to the quantum characteristic of the orthonormalization eigenstates of a^4 Nth power of photon annihiation operator forward.