Journal of Guangxi University

Squeezing effects of the photon-added squeezed vacuum states

Qingyi Yang

Published Jan 1, 2006• 0 citations

Abstract

Photon-added squeezed vacuum states were fabricated by act inverse operator of Boson annihilation operator ~(-1) and Boson creation operator ~+ on the squeezed vacuum states first.Then the squeezing properties of the photon-added squeezed vacuum states are discussed.The results show that only the photon-added squeezed state which was acted on ~+ can appear squeezing effects,but was acted on ~(-1) did not.The squeezing range have relation with the squeezing parameter η.So the squeezing properties of the photon-added squeezed vacuum states have closed relation with ~(-1) and ~+.

Related papers

Fabrication of the Photon-depleted Squeezed Vacuum States and Associated Squeezing Effects

YI Shi-guang

A kind of new quantum states is fabricated by acting on the squeezed vacuum state with the operator +-1 and the squeezing effects of the two quadrature components of the states are discussed.The results show that the squeezing characteristic of the quantum states are correlated with the times of the operator act on the squeezed vacuum state.The two quadrature components of the states produce the squeezing effects in different range of the squeezing parameter η respectively when the operator +-1 act on the squeezed vacuum state one time only as well as for all the even times.The squeezing effects gradually weaken when the times of the operator act on the squeezed vacuum state added.

Guangxi kexueJan 1, 20100 citations

Nonclassicality of photon-added squeezed vacuum states

Si Kun, Ji Xiao-Hui, Jia Huan-Yu

By applying the bosonic creation operator to squeezed vacuum states, this paper introduces a new kind of quantum states: photon-added squeezed vacuum states. It also presents an experimental approach to prepare these states, and investigates their quantum statistical properties by the numerical method. The results indicate that these states reveal some interesting non-classical properties, such as anti-bunching effects, squeezing effects and negativities of the relevant Wigner functions.

Chinese Physics BJun 1, 20107 citations

Construction of Laguerre polynomial’s photon-added squeezing vacuum state and its quantum properties*

LU Dao-ming

Laguerre polynomial’s photon-added squeezing vacuum state is constructed by operation of Laguerre polynomial’s photon-added operator on squeezing vacuum state. By making use of the technique of integration within an ordered product of operators, we derive the normalization coefficient and the calculation expression of 〈ala †〉. Its statistical properties, such as squeezing, the anti-bunching effect, the sub-Poissonian distribution property, the negativity of Wigner function, etc., are investigated. The influences of the squeezing parameter on quantum properties are discussed. Numerical results show that, firstly, the squeezing effect of the 1-order Laguerre polynomial’s photon-added operator exciting squeezing vacuum state is strengthened, but its anti-bunching effect and sub-Poissonian statistical property are weakened with increasing squeezing parameter; secondly, its squeezing effect is similar to that of squeezing vacuum state, but its anti-bunching effect and sub-Poissonian distribution property are stronger than that of squeezing vacuum state. These results show that the operation of Laguerre polynomial’s photon-added operator on squeezing vacuum state can enhance its non-classical properties.

Chinese Physics BJan 10, 20201 citation

Photon Statistics of Photon-Added and Photon-Subtracted Two-Mode Squeezed Vacuum State

H. Lu

We introduce states a † m | ξ ⟩ and a m | ξ ⟩, where| ξ ⟩ is a two-mode squeezed vacuum state. We examine the properties of these states by analytic derivation. Because of the entanglement between the modes of the field, photon adding (or substracting) for one of the modes results in interesting outcomes. For a two-mode squeezed vacuum state, the effect of annihilation of m a-photons is just the same as creation of m b-photons. Annihilation of photons of mode a (or mode b ) actually increases the mean number of photons of mode a and mode b . We also calculate Mandel Q parameter, cross-correlation function and squeezing of the field.

Chinese Physics LettersSep 1, 199914 citations

Some properties of the states engendered by the action of photon creation and annihilation operator on a squeezed vacuum state

Hong-Yi Fan, Zhongxi Zhang

We study some properties of the states a+mS(r)0> and amS(r)0> (S(r) equals e-$ (a(superscript 2-a+2)) which are engendered by the excitations and de-excitations on a squeezed vacuum state, respectively. Using the mathematical induction method, we easily show that such states are normalized as two different forms of Legendre polynomials of squeezing parameter r. The Wigner functions of these states are also derived and analyzed.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEOct 28, 19920 citations

Two photon annihilation operators and squeezed vacuum

Anil Roy, C. L. Mehta, G. M. Saxena

Inverses of the harmonic oscillator creation and annihilation operators by their actions on the number states are introduced. Three of the two photon annihilation operators, viz., a(sup +/-1)a, aa(sup +/-1), and a(sup 2), have normalizable right eigenstates with nonvanishing eigenvalues. The eigenvalue equation of these operators are discussed and their normalized eigenstates are obtained. The Fock state representation in each case separates into two sets of states, one involving only the even number states while the other involving only the odd number states. It is shown that the even set of eigenstates of the operator a(sup +/-1)a is the customary squeezed vacuum S(sigma) O greater than.

Jan 1, 19930 citations