Abstract
In this paper, we introduce the Hermite polynomial’s coherent state (HPCS) , which is defined as up to a normalization constant and where is the coordinate operator’s Hermite polynomial of order and . This state may be produced by the superposition of some different photon added coherent states when . The mathematical and physical properties of HPCS are also studied. It is shown that HPCS has remarkable nonclassical state features such as sub-Poissonian and squeezing properties.
© 2012 Optical Society of America
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