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

TL;DR

This paper introduces excited coherent states for continuous spectra, explores their nonclassical properties, and demonstrates their classification as intelligent states through squeezing analyses.

Contribution

It defines and analyzes excited coherent states for continuous spectra, extending the concept of photon added states and verifying their quantum properties.

Findings

Both states exhibit quadrature squeezing.

States are classified as intelligent states.

Nonclassical properties are confirmed.

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.