Abstract

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

Highlights

  • Squeezed states of light have been observed in a variety of quantum optical systems, which are used to enhance the measurement sensitivity in optomechanics [1], and even in biology [2]

  • The single-mode squeezed light is produced by a degenerate parametric amplifier, consisting of a nonlinear crystal pumped by coherent light

  • The two-mode squeezed light is generated by a nondegenerate subharmonic system consisting of nonlinear crystal pumped by coherent light

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Summary

Introduction

Squeezed states of light have been observed in a variety of quantum optical systems, which are used to enhance the measurement sensitivity in optomechanics [1], and even in biology [2]. This means that, when we turn on the squeezed light, we see less noise than no light at all This apparently paradoxical feature is a direct consequence of quantum nature of light and cannot be explained within the classical framework [3]. They are described interims of single-mode, two-mode and as the mixtures with the other quantum states of light. In this paper we seek to determine the quantum nature of displaced squeezed vacuum state We obtained it by application of displaced states on the squeezed vacuum, and by calculating its density operator we determine its quantum nature as described below

Single-mode squeezed vacuum state
The Q Function
The Variance of Photon Number
Quadrature squeezing
Conclusions
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