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三参数双模压缩粒子数态的量子特性
The quantum properties of three-parameter two-mode squeezed number state
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摘要: 利用有序算符内的积分技术，给出了三参数双模压缩算符，构建了三参数双模压缩粒子数态，并且研究了该量子态的压缩效应、反聚束效应和对Cauchy-Schwartze不等式的违背．给出了量子态产生压缩效应和反聚束效应的条件．以及三参数双模压缩粒子数态的Wigner函数的解析式．讨论了参数变化和光子数变化对压缩效应、反聚束效应和Cauchy-Schwartze不等式的违背的影响．研究结果表明：随光子数的增大，压缩效应、反聚束效应和光场两模间的非经典相关性减弱；另一方面，随参数模的增大，压缩效应增强，但反聚柬效应和光场两模间的非经典相关性却减弱．Abstract: The three-parameter two-mode squeezed number state is proposed by the technique of integration in an ordered product of operators. Its squeezing, antibunching effect and Cauchy-Schwartz inequality are analysed. The conditions under which squeezing or antibunching effect is displayed, are given. The effects of the complex parameter and photon number on squeezing, antibunching effect and Cauchy-Schwartz inequality of the field are discussed. The results indicate that its squeezing, antibunching effect and the degree of violation of Cauchy-Schwartz inequality of two-mode field are all weakened with the increase of photon number; on the other hand, its antibunching effect and the degree of violation of Cauchy-Schwartz inequality of two-mode field are weakened with the increase of the complex parameter modulus, while its squeezing is strengthened with the increase of the complex parameter modulus.
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