The Equal-order Even-number-order Sum-squeezing in a kind of Multi-mode Quantum Superposition State with Superposition of Non-symmetry Two Multi-mode Quantum States
Qu Bo · Journal of Jiangsu Teachers University of Technology · 2004
Based on the superposition theory in the quantum mechanics, a kind of non-symmetry multi-mode Quantum superposition stateψq 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 ofψq 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 ψq 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 ψq 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.