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Acta Physica Sinica

THE NONCLASSICAL NATURE AND INDEPENDENCE OF HIGHER-ORDER SQUEEZING OF LIGHT FIELD

Xia Yun-Jie, Guo Guang-Can, (1)曲阜师范大学物理系,曲阜,273165; (2)中国科学技术大学物理系,合肥,230026

Published Jan 1, 1990• 0 citations
Publisher

Abstract

In this paper, the higher-order squeezing of a single mode light field state ｜ψ>=α｜0>+β｜m>(m>2) is studied. When m is even integral,we find that it exhibits arbitary higher-order squeezing except second order squeezing. But the higher-order squeezing and antibunchinf; do not appear simultaneously- Thus, we come to a conclusion that higher-order squeezing is a new nonclassicl effect of light field which is independent of second order squeezing and antibunching.

DOI
10.7498/aps.39.54-2

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In this paper, the higher-order squeezing of a single mode light field state ｜ψ>=α｜0>+β｜m>(m>2) is studied. When m is even integral,we find that it exhibits arbitary higher-order squeezing except second order squeezing. But the higher-order squeezing and antibunchinf; do not appear simultaneously- Thus, we come to a conclusion that higher-order squeezing is a new nonclassicl effect of light field which is independent of second order squeezing and antibunching.
We study the multimode higher-order nonclassical effects of novel trio coherent states. We show that such states exhibit antibunching to all orders in the single-mode case. However, the two-mode higher-order antibunching may or may not exist depending on the parameters. We also show that in such states squeezing is fully absent in both single-mode and two-mode situations. As for the three-mode case, the so-called sum-squeezing is impossible but another kind of squeezing may arise for the orders K that are a multiple of three. The degree of the lowest allowable K = 3 order squeezing can reach a remarkable amount of 18 % . Of interest is the following property: when the order grows, the degree of antibunching increases but that of squeezing decreases.
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By utilizing the theory of multi-mode squeezed states, the property is studied on the generalized nonlinear unequal-order N j -th power Y-squeezing on a new type of multi-mode superimposition state light field | Ψ (2) msc q with distinguishable two quantum states. It is found that when squeezed orde N j=2p , no matter what p=2m+1(m=0,1,2,...) ,while the initial phases of corresponding mode φ j(j=1,2,3...,q) , the difference of initial phasas of states [θ (R) nq -θ (I) nq -∑[DD(]qj=1R 2 j] and the range of phonton interence term, etc., the first and the second quadrature component of state | Ψ (2) msc q is a typical multi-mode nonclasical light field. And it can display unequal-order N j -thpower Y-squeezing effects that change periodicall under the other conditions. and the range of phonton interence term, etc., the first and the second quadrature component of state | Ψ (2) msc q is a typical multi-mode nonclasical light field. And it can display unequal-order N j -thpower Y-squeezing effects that change periodicall under the other conditions.
On the basis of reference 2, the paper probes the squeezing effects of unequal-order higher-power Y-squeezing in the second kind of multimode superposition state light field with the superposition of two quantum state by using the definition of multimode squeezing. It is found that when the the squeezing orders of each mode is even number, the state |Ψ (2) 2 q is always in N j-Y minimum uncertainty state; when the squeezing orders of each mode is odd number, under some conditions the state |Ψ (2) 2 q can also present N j-th power Y-squeezing that changes periodically; the result of reference 2 is only a particular example under the certain condition N j=N of this paper's universal results.
The general theory of generalized nonlinear unequal-power higher-power difference-squeezing of Multimode Radiation Light-Field(abbr.MRLF)is utilized to study the property of second-order unequal-power higher-power difference-squeezing(namely,N_j-th power X-squeezing)of two-state-superposition multimode superposition state light-field Ψ(2)_1_ 2q,which is composed of 2q-modes coherent state and its contrary state according to the state superposition principle in quantum mechanics.It is found that under some certain and fixed conditions,the multimode superposition light-field mentioned above can display the effect of N_j-th power X-squeezing.
Higher-order nonclassical properties of fields propagating through a codirectional asymmetric nonlinear optical coupler which is prepared by combining a linear waveguide and a nonlinear (quadratic) waveguide operated by second harmonic generation are studied. A completely quantum mechanical description is used here to describe the system. Closed form analytic solutions of Heisenberg's equations of motion for various modes are used to show the existence of higher-order antibunching, higher-order squeezing, and higher-order two-mode and multimode entanglement in the asymmetric nonlinear optical coupler. It is also shown that nonclassical properties of light can transfer from a nonlinear waveguide to a linear waveguide.