Phase space picture of Morse-like coherent states based upon the Wigner function

TL;DR

This paper explores the phase space behavior of Morse-like coherent states using the Wigner function, comparing their construction as deformed displacement operator states and photon-added states.

Contribution

It introduces a phase space analysis of Morse-like coherent states within the f-deformed oscillator framework, highlighting their properties via the Wigner distribution.

Findings

Wigner function analysis reveals distinct phase space features of Morse-like states

Comparison between DOCSs and DPACSs shows differences in phase space behavior

Provides a framework for understanding Morse potential coherent states in quantum optics

Abstract

Using the Wigner distribution function, we analyze the behavior on phase space of generalized coherent states associated with the Morse potential (Morse-like coherent states). Within the f-deformed oscillator formalism, such states are constructed by means of the two following definitions: {\it i)} as deformed displacement operator coherent states (DOCSs) and {\it ii)} as deformed photon-added coherent states (DPACSs).