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

Chinese Physics C

Higher-Order Squeezing and Antibunching Effect for the Odd and Even Generalized q-Coherent States of the Non-harmonic Oscillator

Zhong Wang

Published Jan 1, 2001• 0 citations
OpenAlex

Abstract

The higher order squeezing and antibunching effect for the odd and even generalized q coherent states of the non harmonic oscillator are investigated. The numerical method is used to study these effects for the two expressions of q number . It is shown that the odd and even generalized q coherent states of the non harmonic oscillator present higher order (order of odd number) squeezing effect and antibunching effect respectively,and these optical statistics properties are very different from those of the states of the harmonic oscillator.

Related papers

The Properties of Generalized Even and Odd Coherent States of a q-Deformation Non-harmonic Oscillator

Hong‐Mei Zou

The generalized even and odd coherent states of a q-Deformation Non-harmonic Oscillator(E-O q-NHCSs) are constructed,their Higher-Order Squeezing and Antibunching Properties are studied in detail.It is increasing the Squeezing effect in different parameter ranges.With q-deformation increasing,the squeezing effect of E q-NHCSs are weakened and those of O q-NHCSs are enhanced.The E q-NHCSs appear high-order(N≥2) antibunching properties while the O q-NHCSs appear high-order bunching properties in some ranges of the parameter q and r 2 with the q-deformation increasing.Both antibunching effects of E q-NHCSs and bunching effects of O q-NHCSs are enhanced.

Journal of Jishou University•Dec 1, 2000•0 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

HIGHER POWER SQUEEZING AND ANTIBUNCHING EFFECTS FOR GENERALIZED ODD AND EVEN COHERENT STATES OF A NON HARMONIC OSCILLATOR

Zhao-Xian Yu, Ji‐Suo Wang, Liu Yehou +1 more

Theoretical calculations show that the generalized odd and even coherent states(OECS) of a non harmonic oscillator represent higher power (odd number power) squeezing effect and antibunching effect respectively, and these photon statistical characteristics are very different from those of the ordinary OECS.

Acta Physica Sinica•Jan 1, 1997•2 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

Higher-order squeezing for generalized odd and even coherent states of a Q-deformed non-harmonic oscillator

Jian‐Sheng Wang, TK Liu, Zhan Zhan

The completeness and higher-order squeezing properties of generalized odd and even coherent states of a Q-deformed non-harmonic oscillator are investigated. The results show that they may form a complete Hilbert space,and the odd-order squeezing effects exist in all of the states.

Chinese Physics C•Jan 1, 2001•0 citations

The Antibunching Effect of the Superposition Propeties of the Generalized Odd and Even Coherent States of a Non harmonic Oscillator

Wu Ai

The superposition properties of the generalized odd and even coherent states of a non harmonic oscillator are investigated.As a result,the antibunching effect of the superposition properties is discussed.

Acta Scientiarum Naturalium Universitatis Neimongol•Jan 1, 1999•0 citations
The higher order squeezing and antibunching effect for the odd and even generalized q coherent states of the non harmonic oscillator are investigated. The numerical method is used to study these effects for the two expressions of q number . It is shown that the odd and even generalized q coherent states of the non harmonic oscillator present higher order (order of odd number) squeezing effect and antibunching effect respectively,and these optical statistics properties are very different from those of the states of the harmonic oscillator.
The generalized even and odd coherent states of a q-Deformation Non-harmonic Oscillator(E-O q-NHCSs) are constructed,their Higher-Order Squeezing and Antibunching Properties are studied in detail.It is increasing the Squeezing effect in different parameter ranges.With q-deformation increasing,the squeezing effect of E q-NHCSs are weakened and those of O q-NHCSs are enhanced.The E q-NHCSs appear high-order(N≥2) antibunching properties while the O q-NHCSs appear high-order bunching properties in some ranges of the parameter q and r 2 with the q-deformation increasing.Both antibunching effects of E q-NHCSs and bunching effects of O q-NHCSs are enhanced.
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.
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.