Damped Oscillator with delta-kicked frequency in probability representation of quantum mechanic

TL;DR

This paper derives the explicit tomogram of squeezed correlated states in a damped quantum oscillator with delta-kicked frequency, analyzing damping effects and squeezing phenomena in quantum probability representation.

Contribution

It introduces an explicit form of the tomogram for a damped quantum oscillator with delta-kicked frequency, expanding understanding of damping and squeezing in quantum states.

Findings

Explicit tomogram derived for the damped oscillator states

Analysis of damping effects on quantum squeezing

Comparison of strong and weak damping regimes

Abstract

We obtain the tomogram of squeezed correlated states of a quantum parametric damped oscillator in an explicit form. We study the damping within the framework of the Caldirola--Kanai model and chose the parametric excitation in the form of a very short pulse simulated by a delta-kick of frequency; the squeezing phenomenon is reviewed. The cases of strong and weak damping are investigated.