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Guangxi kexue

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

YI Shi-guang

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

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.

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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.
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 ~+.
Noncommutative optical squeezed vacuum states are constructed as eigenstates of an appropriate two-photon annihilation operator corresponding to the Biedenharn–Macfarlane [Formula: see text]-oscillator. We consider in details the role of noncommutativity parameter [Formula: see text] on the nonclassical behaviors including quadrature squeezing and sub-Poissonian statistics. Also, we construct the noncommutative photon-added squeezed vacuum states and consider their Hillery-type higher-order squeezing and single-mode noise band.
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.
The displaced squeezed vacuum state is produced by application of displaced operator on squeezed vacuum state. With help of density operator we find Q function, with the Q function mean, variance and quadrature variance would be calculated. From this we can determine the system has superpoissonian statics, the squeezed parameter is direct proportion with both mean and variance of photon number, but inversely proportion with quadrature variance. The squeezing occurs in plus quadrature with the maximum squeezing of 99.7% for r=3. Keywords: Quantum nature, displaced state, squeezed vacuum state DOI : 10.7176/APTA/82-01 Publication date: January 31 st 2020
In this paper the displaced squeezed vacuum state is produced by application of displaced operator on squeezed vacuum state. With help of density operator we find Q function, with the Q function mean, variance and quadrature variance would be calculated. From this we can determine the system has superpoissonian statics, the squeezed parameter is direct proportion with both mean and variance of photon number, but inversely proportion with quadrature variance. The squeezing occurs in plus quadrature with the maximum squeezing of 99.7% for r=3.