摘要
根据量子力学的叠加原理,构造一类由多模复共轭相干态{zj(a)*}〉q和多模虚共轭相干态的相反态{-izj(b)*}〉q所组成的非对称两态叠加多模量子叠加态ψ〉q。利用多模压缩态理论,研究该态的等幂偶数阶和压缩效应,结果表明:当腔模总数q与压缩阶数N之积qN为偶数,即qN=2p(p=1,2,3,······),并且各个模的初始相位之和qj=1移jj、由态ψ〉q的两个分量初始相位差Δθ以及态{zj(a)*}〉q和态{-izj(b)*}〉q的各个模的振幅的乘积Rj(a)Rj(b)的和qj=1移[(Rj(a)Rj(b)]所组成的混合初始相位Δθ+qj=1移[(Rj(a)Rj(b)]分别满足一定的条件时,不论p为奇数或偶数,态ψ〉q的两个正交相位分量交替呈现周期性变化的等幂偶数阶和压缩效应,p为奇数时的压缩深度大于p为偶数时的压缩深度,这一结果是对称两态叠加多模叠加态所不具有的。
Based on the superposition theory in the quantum mechanics, a kind of non-symmetry multi-mode Quantum superposition stateψ>q is constituted by the complex conjugate multi-mode coherent state{-zj(a)*}>q and the imaginary conjugate coherent state{izj(a)*}>q. By using the multimode squeezed states theory, the properties of equal-power even-order sum-squeezing ofψ>q is studied under the product of cavity order sum and squeezing order N, qN is even number, scilicet qN=2p(p=1,2,3,······). It is found that the two quardrature phase components of the ψ>q always present ultimately equal-power even-order sum-squeezing effect which changes periodically whether p is odd number or even number, while some phase conditions are satisfied respectively by sum of initial phase of each single modejj, and the initial mixing-phase Δθ+[(Rj(a)Rj(b)] which is composed of initial phase difference Δθ between the two components of the ψ>q mentioned above and the sum of Rj(a)Rj(b) products of amplitude of each mode in {zj(a)*}>q and amplitude Rj(b) of each mode in. The squeezing-intensity under p is odd number is bigger.There is not this result in symmetry multi-mode superposition states.
出处
《江苏技术师范学院学报》
2004年第2期5-9,共5页
Journal of Jiangsu Teachers University of Technology
基金
江苏技术师范学院科研基金资助项目(KYY03042)
关键词
多模相干态
非对称两态叠加多模叠加态
等幂偶数阶和压缩效应
multi-mode coherent state
multi-mode superposition states with superposition of non-symmetry two quantum states
equal power even-order sum-squeezing
