Chinese Physics Letters

Squeezing Properties of Even Coherent States in a Finite-Dimensional Hilbert Space

Jiu-Yun Zhu, Le‐Man Kuang

Published Jul 1, 1994• 2 citations

Abstract

Even coherent states (ECSs) of a finite-dimensional Hilbert space harmonic oscillator (FDHSHO) are constructed explicitly. Some properties of them are discussed. The quadrature squeezing and the amplituded-squared squeezing of these states are investigated in detail. It is found that ECSs of the FDHSHO exhibit not only the quadrature squeezing but also the amplituded-squeezing.

DOI: 10.1088/0256-307x/11/7/007

Related papers

Coherent States of a Harmonic Oscillator in a Finite-dimensional Hilbert Space and Their Squeezing Properties

Le‐Man Kuang, Fa-Bo Wang, Yan-Guo Zhou

New coherent states of a harmonic oscillator in a finite-dimensional Fock space are introduced. Some properties of these coherent states are discussed. The second-order squeezing of these coherent states with respect to the quadrature operators is studied in detail. In particular, for a two-state system the arbitrary higher-order squeezing of these states is investigated. It is shown that these coherent states exhibit much richer squeezing properties than the coherent states of a usual harmonic oscillator in an infinite-dimensional Fock space. It is found that these coherent states have not only second-order squeezing but also higher-order squeezing with respect to the quadrature operators of the field under consideration.

Journal of Modern OpticsJul 1, 199441 citations

Squeezing of even and odd generalized coherent states of non-harmonic oscillator in a finite-dimensional Hilbert space

LU Dao-ming

Even and odd generalized coherent states of non-harmonic oscillator in a finite-dimensional Hilbert space are constructed and their Squeezing are discussed. It is shown that there are squeezing properties in these quantum states.

Fuzhou daxue xuebao. Ziran kexue banJan 1, 20030 citations

Amplitude-Squared Squeezing of Generalized q -Deformation Coherent States of a Non-harmonic Oscillator in a Finite-Dimensional Hilbert Space

Lu Dao

Generalized q-deformation coherent states of a non-harmonic oscillator in a finite-dimensional Hilbert Space are constructed. Their amplitude-squared squeezing are discussed. The result shows that there are squeezing effects in these quantum states. The relationship between condition of squeezing and parameters S, r, q is found.

Chinese Physics CJan 1, 20030 citations

Squeezing Effects for Generalized Odd and Even Coherent States of A Non-harmonic Oscillator in a Finite Dimensional Hilbert Space

YU Guo-chen, Pla Jinan

Generalized odd and even coherent states of a Non-harmonic oscillator in a finite-dimensional Hilbert space are constructed and their squeezing effects are discussed. It is shown that there are squeezing properties in these quantum states.

Jan 1, 20000 citations

Amplitude-squared squeezing of the generalized odd-even coherent states of the anharmonic oscillator in a finite-dimensional Hilbert space

Muhammad Ashfaq Ahmad, Lin Jie, Qian Yan +3 more

This paper discusses the properties of amplitude-squared squeezing of the generalized odd—even coherent states of anharmonic oscillator in finite-dimensional Hilbert space. It demonstrates that the generalized odd coherent states do exhibit strong amplitude-squared squeezing effects in comparison with the generalized even coherent states.

Chinese PhysicsMay 1, 20073 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 GeneralJan 30, 199818 citations