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 journal of atomic and molecular physics

Nonlinear coherent states in a finite-dimensional Hilbert space

Kong Li-jing

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

Nonlinear coherent states in a finite-dimensional Hilbert space are constructed and some quantum statistical properties are studied. Their squeezing effect and antibunching effect are discussed in detail. The relations between the properties of squeezing and antibunching and the dimensionality of the Hilbert space are shown by making use of numerical calculation.

Related papers

Generalized q-Deformation Coherent States of a Non-harmonic Oscillator in a Finite-dimensional Hilbert Space and Their Quantum Statistical Properties

Pla Jinan

Generalized q-deformation coherent states of a non-harmonic oscillator in a finitedimensional Hilbert space are constructed and their quantum statistical properties are discussed. It is shown that there are squeezing and antibunching properties in these quantum states.

Chinese Journal of Quantum Electronics•Jan 1, 2001•0 citations

Antibunching effect of a new kind of odd and even nonlinear coherent states in a finite-dimensional Hilbert space

Lu Dao

Using the numerical method,the antibunching effects of a new kind of odd and even nonlinear coherent states in a finite-dimensional Hilbert space are studied.The results show that the new kind of odd nonlinear coherent state exhibits antibunching effect and the new kind of even nonlinear coherent state does not exhibits antibunching effect in a finite-dimensional Hilbert space.

Journal of Atomic and Molecular Physics•Jan 1, 2008•0 citations

Squeezing Properties of Measured Phase Operator of Generalized Coherent states in a Finite-Dimensional Hilbert Space

LU Dao-ming

Generalized coherent states in a finite—dimensional Hilbert space is constructed.Its squeezing properties are discussed via the measured phase operators introduced by Barnett and Pegg.The conditions of squeezing are found.Theoretical calculation shows that it presents squeezing effect.

Journal of Yunnan Normal University•Jan 1, 2006•0 citations

Amplitude-squared squeezing of Roy-type even and odd nonlinear coherent states in a finite-dimensional Hilbert space

Meng Xiang-Guo, Ji‐Suo Wang, 聊城大学物理科学与信息工程学院,聊城 252059

The Roy-type even and odd nonlinear coherent states in a finite-dimensional Hilbert space are constructed. Their amplitude-squared squeezing effect, orthonormalized property, unitary property and completeness relations are discussed. The results reveal the existence of unitary property, completeness relations and non-orthonormalized property. There exists the amplitude-squared squeezing effect for the Roy-type even and odd nonlinear coherent states when the phase θ of parameter β meets the fixed condition. The relations between conditions of squeezing effect and parameters s,r and function f(n) are given. Finally using the numerical method, it is found that in some different ranges of r, the amplitude-squared squeezing effect exists in Roy-type even and odd nonlinear coherent states field in a finite-dimensional Hilbert space when the parameters s,θ and Lamb-Dike parameter η are given as the fixed value.

Acta Physica Sinica•Jan 1, 2006•1 citation

A new kind of nonlinear superposition coherent states and their quantum statistical properties

YU Guo-chen

A new kind of nonlinear superposition coherent states are constructed. Using the numerical method, we have studied squeezing effect and antibunching effect of the states. It is shown that the quantum statistical propecties are related with superposition parameters.

Chinese Journal of Quantum Electronics•Jan 1, 2005•0 citations

Coherent states, even and odd coherent states in a finite-dimensional Hilbert space and their properties

Barnana Roy, Papai Roy

We have considered a harmonic oscillator in a finite-dimensional Hilbert space spanned by orthogonal polynomials of a discrete variable and constructed coherent states as well as even and odd coherent states of this oscillator. Various properties such as squeezing and antibunching of these states have also been examined.

Journal of Physics A Mathematical and General•Jan 30, 1998•18 citations
Nonlinear coherent states in a finite-dimensional Hilbert space are constructed and some quantum statistical properties are studied. Their squeezing effect and antibunching effect are discussed in detail. The relations between the properties of squeezing and antibunching and the dimensionality of the Hilbert space are shown by making use of numerical calculation.
The Roy-type even and odd nonlinear coherent states in a finite-dimensional Hilbert space are constructed. Their amplitude-squared squeezing effect, orthonormalized property, unitary property and completeness relations are discussed. The results reveal the existence of unitary property, completeness relations and non-orthonormalized property. There exists the amplitude-squared squeezing effect for the Roy-type even and odd nonlinear coherent states when the phase θ of parameter β meets the fixed condition. The relations between conditions of squeezing effect and parameters s,r and function f(n) are given. Finally using the numerical method, it is found that in some different ranges of r, the amplitude-squared squeezing effect exists in Roy-type even and odd nonlinear coherent states field in a finite-dimensional Hilbert space when the parameters s,θ and Lamb-Dike parameter η are given as the fixed value.