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Journal of Shangluo University

Numeric Analysis for Equal-order N-th Y Squeezing Characteristics of A New Type Four-state Superposition Multi-mode Superposition Light Field

Liu Bao-ying, R China

Published Jan 1, 2003• 0 citations
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Abstract

According to the linear superposition principle mechanics,the four-state superposition multi -mode superposition state light fidle is composed by multi -mode imaginary odd and complexconjugation coherent states,and its general results of N-th power Y squeezing are got out by the multi-mode squeezing state theory by numeric analying,it is found that:when parameters squeezng order N, total number of multi -modeq,average photon numbers of every mode Rj2 and modules of superposition probability amplitudes r0(re)are take different values,the state will represents: a.the equal-order N-Y minimum uncertainty states b. half coherent states effect c.the first and second orthometric component represent N-th power Y squeezing d. half-squeezing state.

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Characteristics Equal-Order N-th Y Squeezing of a New Type of Multi-mode Superposition Light Fields

HU Zhuo-rui

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.

Journal of Chang'an University•Jan 1, 2006•0 citations

The equal-order N-th power Y squeezing of multi-mode imaginary-odd and even coherent stats superposition

Jinguo Wang

Aim By utilizing the multi-mode squeezing state theory, the properties of the equal-order N-th power Y squeezing of state ｜Ψ~((4))_(oe)V〉_q are studied.Methods According to the linear superposition principle of quantum mechanics, the fifth kind of four-state superposition multi-mode superposition states light field ｜Ψ~((4))_(oe)V〉_q is constructed with multi-mode imaginary-odd and even coherent states.Results ①When squeezing order N is an even number, state ｜Ψ~((4))_(oe)V〉_q never represents the equal-order N-th power Y squeezing: a. When N=4 m(m=1,2,3,…) state ｜Ψ~((4))_(oe)V〉_q presents the equal-order N-th minimum uncertainty state; b. When N=4 m′-2 (m′=1,2,3,…), state ｜Ψ~((4))_(oe)V〉_q represents half coherent state. ②When N is odd number, in different conditions, the first and second orthogonal phase components of state ｜Ψ~((4))_(oe)V〉_q respectively represents the odd or even number equal-order N-th power Y squeezing effects.Conclusion The new properties of the equal-order N-th power Y squeezing of state (｜Ψ~((4))_(oe)V〉_q) are found.

Journal of Northwest University•Jan 1, 2005•0 citations

The equal-order N-th power Y squeezing of four-state superposition multi-mode superposition states light field

Wang Ming-xiang

By utilizing the multi-mode squeezing state theory,the properties of the equal-order N-th power Y squeezing of stateare studied.According to the linear superposition principle of quantum mechanics,the fourth kind of four-state superposition multi-mode superposition states light field |Ψ~((4))_0,Ⅳ〉_qis constructed with multi-mode complex conjugate-odd coherent state(|Ψ~((2))_0,Ⅳ〉_q) and imaginary-odd coherent state(|Ψ~((2))_i,O〉_q).The new properties of the equal-order N-th power Y squeezing of state |Ψ~((4))_0,Ⅳ〉_qare found.When squeezing order Nis an even number,initial phase φ_j and initial phase difference θ_1-θ_2 indifferent conditions,1) When N=4m(m=1,2,3,…) the first orthogonal phase components of state |Ψ~((4))_0,Ⅳ〉_qrepresents the equal-order N-th power Y squeezing;2).When N=4m′-2(m′=1,2,3,…),the second orthogonal phase components of state |Ψ~((4))_0,Ⅳ〉_qrepresents N-th power Y squeezing effects.

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Equal-order N-th Power Y-squeezing of the Superposition Light Field Composed By Two Odd Coherent States

Gao Rong-fa

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Journal of Shangluo University•Jan 1, 2003•0 citations

Generalized Nonlinear Equal-power N-thpower X squeezing in Four State Superimposition Multimode Superimposition State Light Field

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The properties of equalpower Nth power X squeezing of the first enen number mode fourstate superimposition multimode superimposition state,which is composed of the linear super positions of the multimode even and odd coherent state that they have as same as even number mode,was studied based on the theory of multimode squeezed states.The results show when the qN(q,cavity mode number) is even number,and the photon numbers nj of any mode is less than N,two quadrature phase components of the state appear as equalorder Nth X squeezing in same time;when qN is odd number,njN, and also other necessary conditions the two quadrature phase components of the state present the equal power Nth power Xsqueezing effect.

Journal of Optoelectronics·laser•Jan 1, 2003•0 citations

The Property of Generalized Nonlinear Equal-order N-th Power Y-squeezing in a New Type of Multi-mode Superposition State with the Linear Superposition of the Contrary State of Multi-mode ImaginaryConjugate Coherent State and Multi-mode Vacuum Stat

Wang Ju-xia

A new type of multi-mode superposition state light field |Ψ (2) n qis constructed, which is made of the linear superposition of macroscopically distinct two quantum state named the contrary state |{-iz * j} q of multi-mode imaginary conjugate coherent state |{iz * j} q and multi-mode vacuum state |Ψ (2) n q in this paper. By using the theory of multi-mode squeezed state, the property of generalized nonlinear equal-order N-th power Y-squeezing of the state |Ψ (2) n q mentioned above is studied firstly in detail. A series of significative new squeezing phenomenons are displayed.

Acta Sinica Quantum Optica•Jan 1, 2001•0 citations
According to the linear superposition principle mechanics,the four-state superposition multi -mode superposition state light fidle is composed by multi -mode imaginary odd and complexconjugation coherent states,and its general results of N-th power Y squeezing are got out by the multi-mode squeezing state theory by numeric analying,it is found that:when parameters squeezng order N, total number of multi -modeq,average photon numbers of every mode Rj2 and modules of
superposition probability amplitudes r0(re)are take different values,the state will represents:
a.the equal-order N-Y minimum uncertainty states b. half coherent states effect c.the first and second orthometric component represent N-th power Y squeezing d. half-squeezing state.
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.
Aim By utilizing the multi-mode squeezing state theory, the properties of the equal-order N-th power Y squeezing of state ｜Ψ~((4))_(oe)V〉_q are studied.Methods According to the linear superposition principle of quantum mechanics, the fifth kind of four-state superposition multi-mode superposition states light field ｜Ψ~((4))_(oe)V〉_q is constructed with multi-mode imaginary-odd and even coherent states.Results ①When squeezing order N is an even number, state ｜Ψ~((4))_(oe)V〉_q never represents the equal-order N-th power Y squeezing: a. When N=4 m(m=1,2,3,…) state ｜Ψ~((4))_(oe)V〉_q presents the equal-order N-th minimum uncertainty state; b. When N=4 m′-2 (m′=1,2,3,…), state ｜Ψ~((4))_(oe)V〉_q represents half coherent state. ②When N is odd number, in different conditions, the first and second orthogonal phase components of state ｜Ψ~((4))_(oe)V〉_q respectively represents the odd or even number equal-order N-th power Y squeezing effects.Conclusion The new properties of the equal-order N-th power Y squeezing of state (｜Ψ~((4))_(oe)V〉_q) are found.
By utilizing the multi-mode squeezing state theory,the properties of the equal-order N-th power Y squeezing of stateare studied.According to the linear superposition principle of quantum mechanics,the fourth kind of four-state superposition multi-mode superposition states light field |Ψ~((4))_0,Ⅳ〉_qis constructed with multi-mode complex conjugate-odd coherent state(|Ψ~((2))_0,Ⅳ〉_q) and imaginary-odd coherent state(|Ψ~((2))_i,O〉_q).The new properties of the equal-order N-th power Y squeezing of state |Ψ~((4))_0,Ⅳ〉_qare found.When squeezing order Nis an even number,initial phase φ_j and initial phase difference θ_1-θ_2 indifferent conditions,1) When N=4m(m=1,2,3,…) the first orthogonal phase components of state |Ψ~((4))_0,Ⅳ〉_qrepresents the equal-order N-th power Y squeezing;2).When N=4m′-2(m′=1,2,3,…),the second orthogonal phase components of state |Ψ~((4))_0,Ⅳ〉_qrepresents N-th power Y squeezing effects.
According to the linear superposition principle in quantum mechanics,the superposition light field composed by multimode odd coherent state and multimode complex conjugation imaginary odd coherent state Utilized the multimode squeezed state theory.the properties of equal-power N-th power Y-squeezing of the state is studide,and it is found that:1)when squeezing number N=4P (P=1,2,3,...),if the initial phase of each vertical order (?),the phase difference θ1-θ2 and other parameters take different fixed value,the first quadrature component of the state always presents different degree and periodic changing equal-order N-th power Y-squeezing;2)when squeezing number N=4P'-2 (P'=1,2,3,...) if the initial phase of each vertical order (?)j,the phase defference θ1-θ2 and other parameters take different fixed value,the second quadrature component of the state always presents different degree and perindic changing equal-power N-th power Y-squeezing.
The properties of equalpower Nth power X squeezing of the first enen number mode fourstate superimposition multimode superimposition state,which is composed of the linear super positions of the multimode even and odd coherent state that they have as same as even number mode,was studied based on the theory of multimode squeezed states.The results show when the qN(q,cavity mode number) is even number,and the photon numbers nj of any mode is less than N,two quadrature phase components of the state appear as equalorder Nth X squeezing in same time;when qN is odd number,njN, and also other necessary conditions the two quadrature phase components of the state present the equal power Nth power Xsqueezing effect.
A new type of multi-mode superposition state light field |Ψ (2) n qis constructed, which is made of the linear superposition of macroscopically distinct two quantum state named the contrary state |{-iz * j} q of multi-mode imaginary conjugate coherent state |{iz * j} q and multi-mode vacuum state |Ψ (2) n q in this paper. By using the theory of multi-mode squeezed state, the property of generalized nonlinear equal-order N-th power Y-squeezing of the state |Ψ (2) n q mentioned above is studied firstly in detail. A series of significative new squeezing phenomenons are displayed.