Abstract

In this paper, we introduce the Hermite polynomial’s coherent state (HPCS) |αH, which is defined as Hn(X)|α up to a normalization constant and where Hn(X) is the coordinate operator’s Hermite polynomial of order n and |α=exp((1/2)|α|2+αa)|0. This state may be produced by the superposition of some different photon added coherent states when n=2. 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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