Equal-order even-number-order Nth -power Y-squeezing on multi-mode superposition state with two nonsymmetry multi-mode quantum states
Meng Ji-de · Journal of Guizhou Normal University · 2004
In this paper,a kind of nonsymmetry multi-mode quantum superposition state Ψ〉_q is constituted by the complex conjugate multi-mode coherent state z~((a)*)_j〉_q and the contrary state -iz~((b)*)_j〉_q of imaginary conjugate coherent state iz~((b)*)_j〉_q.It is studied for the equal-order even-number-order Y-squeezing effect in Ψ〉_q, by using multi-mode squeezed state theory.When squeezing order N is even number ,viz. N=2p(p=1,2,3,…),it is found that the two quardrature phase components on the Ψ〉_q present alternately equal-order even-number-orderY-squeezing effect which changes periodically whether p is odd number or even number,while some phase conditions are saisfied respectively by the initital phase φ_i of each mode in Ψ〉_q and by the initital mixing-phase Δθ+∑qj=1[R~((a))_jR~((b))_j] which is composed of the initital phase difference between the two components of the state Ψ〉_q and the sum ∑qj=1[R~((a))_jR~((b))_j] of the product R~((a))_jR~((b))_j of amplitude of each mode in z~((a)*)_j〉_q and amplitude R~((b))_j of each mode in -iz~((b)*)_j〉_q . The squeezing-intensity odd-number p is bigger than that under even-number p,which is not the result in symmetry multi-mode superposition state.