Nonclassical properties of coherent states and excited coherent states for continuous spectra

Abstract

Based on the definition of coherent states for continuous spectra and analogous to photon added coherent states for discrete spectra, we introduce the excited coherent states for continuous spectra. It is shown that, the main axioms of Gazeau-Klauder coherent states will be satisfied, properly. Nonclassical properties and quantum statistics of coherent states, as well as the introduced excited coherent states are discussed. In particular, through the study of quadrature squeezing and amplitude squared squeezing, it will be observed that both classes of the above states can be classified in the intelligent states category.

Coherent states for continuous spectrum operators with non-normalizable fiducial states

“…For instance, it turns out that ladder operators for continuous spectrum operators can be defined and corresponding eigenvalue problems for defining coherent states can be explicitly solved [12]. Statistical properties and other nonclassical properties of such states have been recently addressed [13].…”