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Non-linear Higher-order Squeezing Effects for the Pair Coherent State

Jiang Jun-qin

Published Jan 1, 2005• 0 citations
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Abstract

In this paper, the non-linear higher-order squeezing effects of photon field for the pair coherent state |=A_0n=0~nn!|n,n are studied. It is shown that the photon field can exhibit the equal-order N-th power Y-squeezing effects (N=2,3,4,5,) but cannot exhibit the equal-order N-th power H-squeezing effects, the pair coherent state is N-H minimum uncertainty state.

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Chinese Journal of Quantum Electronics•Jan 1, 2004•0 citations
In this paper, the non-linear higher-order squeezing effects of photon field for the pair coherent state |=A_0n=0~nn!|n,n are studied. It is shown that the photon field can exhibit the equal-order N-th power Y-squeezing effects (N=2,3,4,5,) but cannot exhibit the equal-order N-th power H-squeezing effects, the pair coherent state is N-H minimum uncertainty state.
By using the theory of multimode squeezed state,the property of generalized nonlinear equal-order N-th power Y-squeezing in the multimode superposition state light field ｜Ψ~((2))〉_q with the superposition of arbitrary two quantum states is studied.It is evinced that the state ｜Ψ~((2))〉_q separately stayed equal-order N-Y minimum uncertainty state、present the effect of half coherent state、the first quadrature component or the second quadrature component present the properties of N-th power Y-squeezing in different conditions.
The paper presents the properties of N-th power Y-squeezing on multimode light field |φI(ab)q . The finding is that in the some certain condition the state |φI(ab)q can always display the equal-power N—Y minimum uncertainty state, but the state |φI(ab)q can't display the equal-power N-th power Y-squeezing effect. It is obvious that in the certain condition multimode superposition state light field is composed of asymmetrical coherent state light field that always retains the coherent properties of original light field.
According to the linear superposition principle mechanics,the four-state superposition multi-mode superposition state light field |Ψ~((4))_(oe)Ⅷ〉_q is composed by multi-mode imaginary odd and complicit conjugation coherent states,and its general results of N-th power Y squeezing are got out by the multi-mode squeezing state theory.By numeric analyzing,it is found that: when parameters squeezed order N,total number of multi-mode q,average photon numbers of every mode state R~2_j and modulo of superposition probability amplitudes r_o(r_e) are taken different values,the state |Ψ~((4))_(oe)Ⅷ〉_q will represent by the equal-order N-Y minimum uncertainty states,half coherent states effect,half squeezing state effect,the first or the second orthogonal component represent N-th power Y squeezing.6 refs.