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Journal of Sichuan Normal University

Squeezing and Quantum Statistical Property in Two-mode Superposition States

Mu Yi

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

On the basis of singlemode superposition states, we study further the twomode superposition stats. The squeezing and quantum statistical properties in different twomode superposition states have been studied. The influences of the number photon, number difference, coefficients in the states and their relative phase on these nonclassical properties have been discussed. Finally, the squeezing in the twomode superposition states is compared with that in the singlemode ones. The results indicate that both in twomode singlephoton and twomode twophoton superposition states exists sum squeezing, however, only twomode singlephoton superposition states have normal squeezing.

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On the basis of singlemode superposition states, we study further the twomode superposition stats. The squeezing and quantum statistical properties in different twomode superposition states have been studied. The influences of the number photon, number difference, coefficients in the states and their relative phase on these nonclassical properties have been discussed. Finally, the squeezing in the twomode superposition states is compared with that in the singlemode ones. The results indicate that both in twomode singlephoton and twomode twophoton superposition states exists sum squeezing, however, only twomode singlephoton superposition states have normal squeezing.
We have studied the statistical and squeezing properties of the Two-mode squeezed thermal light. We have calculated the mean of the photon number sum and difference, the variance of the photon number sum and difference, second order correlation function, the quadrature variance and quadrature squeezing, employing the Q function. We have found that the mean of the photon number sum for the two-mode squeezed thermal light is the sum of the means of the photon number sum of the separate modes and the photon statistic is super Poissonian. And the photon number of a two-mode squeezed thermal light is correlated and we have seen that the two-mode squeezed thermal light exhibiting the photon bunching effect. Moreover, the quadrature variance of the two-mode squeezed thermal light turns out to be the product of the quadrature variances of the two-mode thermal and two-mode squeezed vacuum states. The squeezing increase with increasing the squeeze parameter and with decreasing the mean photon number of thermal light.
The superposition state from the photon-added two-mode squeezed vacum state a+m|ξ〉 is constructed,and its noclassical properties are numerically studied under the principle of superposition in quantum mechanics.The results reveal that under certain conditions,the mean photon number of the superposition state exhibits oscillating phenomenon of collapses and revivals,bot sub-Poissonian photon statistical character and the phase squeezing of the field in the superposition state are stronger than ones in the single photon-added two-mode squeezed vacuum state.
We have studied the statistical and squeezing properties of the Two-mode squeezed thermal light. We have calculated the mean of the photon number sum and difference, the variance of the photon number sum and difference, second order correlation function, the quadrature variance and quadrature squeezing, employing the Q function. We have found that the mean of the photon number sum for the two-mode squeezed thermal light is the sum of the means of the photon number sum of the separate modes and the photon statistic is super Poissonian. And the photon number of a two-mode squeezed thermal light is correlated and we have seen that the two-mode squeezed thermal light exhibiting the photon bunching effect. Moreover, the quadrature variance of the two-mode squeezed thermal light turns out to be the product of the quadrature variances of the two-mode thermal and two-mode squeezed vacuum states. The squeezing increase with increasing the squeeze parameter and with decreasing the mean photon number of thermal light. DOI: 10.7176/JNSR/11-23-01 Publication date: December 31 st 2020
Coherent states are the quantum states, which give the closest description to classical states. Since their superpositions show quantum properties, research on these states has been of great interest. In addition, having nonclassical properties is necessary for quantum correlations. In this paper, we focus on two-mode entangled coherent states which are out of phase, and study the nonclassical properties such as squeezing of quadrature operators, antibunching and oscillatory photon statistics. Then we discuss about their entanglement, which is a quantum correlation in different conditions and compare the results.
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.
In this paper, we study some quantum properties of a superposition of displaced squeezed two-mode vacuum and single-photon states, such as the second-order correlation function, the Cauchy-Schwartz inequality, quadrature squeezing, quasiprobability distribution functions and purity. This type of states includes two mechanisms, namely, interference in phase space and entanglement. We show that these states can exhibit sub-Piossonian statistics, squeezing and deviate from the classical Cauchy-Schwartz inequality. Moreover, the amount of entanglement in the system can be increased by increasing the squeezing mechanism. In the framework of the quasiprobability distribution functions we show that the single-mode state can tend to thermal state based on the correlation mechanism. Generation scheme for such states is given.