Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Optoelectronics·laser

Quantum Statistical Properties of Superposition States of Parabose Coherent States

Yongping Li, Yun‐Jie Xia

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

Quantum statistical properties of superposition states of parabose coherent states were studied.Odd-order power amplitude m-th power squeezing effect can appear in this superposition states of the coherent states.The relation between amplitude m-th power squeezing or higher-order antibuncing effect and superposition coefficient is obtained.The relevant results of even and odd coherent states and superposition states of coherent states and even and odd parabose coherent states are all contained in the more general conclusions of this paper as special cases.

Related papers

Nonclassical Properties of the Superposition of the qs-Coherent State

Chen Chang

In this paper, the superposition of the qs coherent states is constructed, and its nonclassical properties such as squeezing property, antibunching effect are studied. The effects of the superposition coefficient and deformed parameter q and s variables on these nonclassical properties are discussed by making use of numerical calculation. The relevant results of the even and odd qs coherent states, as special cases, are contained in more general conclusion of this paper.

Chinese Physics C•Jan 1, 2001•1 citation

The Quantum Properties of Coherent States Superposed with Squeezed States

Song Tong-Qiang

Based on the quantum superposition principle,we construct a new type of superposition composed of coherent state and squeezed state |φ=N(|α+eiφ|βg);and study its squeezing effect and photon anti-bunching effect.The results show that this kind of superposition exhibits fluent quantum properties.When superposed as even/odd coherent states,the superposition exhibits some properties of both even/odd coherent states and squeezed even/odd coherent states.The even/odd coherent and coherent state can be obtained as a special case when the squeezed factor r is zero.

Acta Sinica Quantum Optica•Jan 1, 2008•0 citations

Nonclassical properties of even and odd generalized coherent states for an isotonic oscillator

Ji‐Suo Wang, Tang-Kun Liu, Mingsheng Zhan

We used the numerical method to study nonclassical properties of the even and odd generalized coherent states and superposition states of generalized coherent states for an isotonic oscillator. The following was shown. (1) The quantum statistical properties of the even and odd generalized coherent states are very different from those of the usual even and odd coherent states, and the N th-order ( N = 2 m + 1, m = 0,1,2,...) squeezing and sub-Poisson distribution appear alternately for both the even and odd generalized coherent states in some ranges of z = |β| 2 . The weaker the isotonic oscillator potential, the narrower the ranges. (2) The superposition states of generalized coherent states may exhibit the N th-order squeezing effect too, and this kind of higher-order squeezing effect appears periodically.

Journal of Optics B Quantum and Semiclassical Optics•Nov 21, 2000•21 citations

Superposition of Generalized q-Coherent States of the Non-harmonicOscillator and Their Nonclassical Properties

Zhongqing Wang, Zhou Qing Ping, Zhu Lianxuan +1 more

The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.

Chinese Physics C•Jan 1, 2004•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

Higher-order squeezing properties of even and oddq-coherent states

Ji‐Suo Wang, Chang-Yong Sun

-power squeezing properties of even and odd q -coherent states are investigated. It is found that the -power ( N = 2 m + 1, m = 0, 1, 2,...) squeezing effect appears for both the even and odd q -coherent states in some ranges of the parameters q and .

Quantum and Semiclassical Optics Journal of the European Optical Society Part B•Apr 1, 1998•3 citations
Quantum statistical properties of superposition states of parabose coherent states were studied.Odd-order power amplitude m-th power squeezing effect can appear in this superposition states of the coherent states.The relation between amplitude m-th power squeezing or higher-order antibuncing effect and superposition coefficient is obtained.The relevant results of even and odd coherent states and superposition states of coherent states and even and odd parabose coherent states are all contained in the more general conclusions of this paper as special cases.
Based on the quantum superposition principle,we construct a new type of superposition composed of coherent state and squeezed state |φ=N(|α+eiφ|βg);and study its squeezing effect and photon anti-bunching effect.The results show that this kind of superposition exhibits fluent quantum properties.When superposed as even/odd coherent states,the superposition exhibits some properties of both even/odd coherent states and squeezed even/odd coherent states.The even/odd coherent and coherent state can be obtained as a special case when the squeezed factor r is zero.
We used the numerical method to study nonclassical properties of the even and odd generalized coherent states and superposition states of generalized coherent states for an isotonic oscillator. The following was shown. (1) The quantum statistical properties of the even and odd generalized coherent states are very different from those of the usual even and odd coherent states, and the N th-order ( N = 2 m + 1, m = 0,1,2,...) squeezing and sub-Poisson distribution appear alternately for both the even and odd generalized coherent states in some ranges of z = |β| 2 . The weaker the isotonic oscillator potential, the narrower the ranges. (2) The superposition states of generalized coherent states may exhibit the N th-order squeezing effect too, and this kind of higher-order squeezing effect appears periodically.
The superposition states, which are composed of the generalized q-coherent states of the non-harmonic oscillator, are presented. The quantum statistical properties of these states are studied. Then the influence of the superposition phase δ and the deformation parameter q on these nonclassical properties are discussed. It is shown that the superposition states exhibit higher-order (order of odd number) squeezing effect and antibunching effect respectively. When the superposition phase δ is taken values approach to 0 or π/2, these results approach the properties of the even or odd generalized q-coherent states of the non-harmonic oscillator. Especially, the effects are influenced by the parameter q. When the values of q is taken departure from 1 greatly, the nonclassical properties are more evidently.
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.