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Acta Sinica Quantum Optica

Nonclassicality of Any Number Photon Added-then-subtractedand Subtracted-then-added Coherent States

廖小鸽 LIAO Xiao-ge, 张浩亮 ZHANG Hao-liang, 胡利云 HU Li-yun

Published Jan 1, 2013• 0 citations
Publisher

Abstract

We study the nonclassical properties of arbitrary number photon creation-then-annihilation operation(CA) and annihilation-then-creation operation(AC) to the coherent states,and give the analytical expression.Because of the noncoummutativity of between annihilation operator and the creation operator,the states generated by AC operation and CA operation have different nonclassical properties.We firstly derive the analytical expressions of normalization factor for these states,and then study the statistics characteristics by some nonclassical properties,such as the Mandel Q parameters,the photon number distribution and the Wigner function.It is shown that these states have a very distinct nonclassical properties,and the nonclassical state generated by AC operation can present more clear nonclassicality than those generated by the CA operation.

DOI
10.3788/asqo20131903.0200

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Abstract Nonclassical properties of photon added and subtracted displaced Fock states are studied using various witnesses of lower‐ and higher‐order nonclassicality. Compact analytic expressions are obtained for the nonclassicality witnesses. Using those expressions, it is established that these states and the states that can be obtained as their limiting cases (except coherent states) are highly nonclassical as they show the existence of lower‐ and higher‐order antibunching and sub‐Poissonian photon statistics, in addition to the nonclassical features revealed through the Mandel parameter, zeros of Q function, Klyshko's criterion, and Agarwal–Tara criterion. Further, some comparison between the nonclassicality of photon added and subtracted displaced Fock states have been performed using witnesses of nonclassicality. This has established that between the two types of non‐Gaussianity inducing operations (i.e., photon addition and subtraction) used here, photon addition influences the nonclassical properties more strongly. Further, optical designs for the generation of photon added and subtracted displaced Fock states from squeezed vacuum state have also been proposed.