Squeezed States for General Systems

TL;DR

This paper introduces a ladder-operator approach to generate squeezed states for a wide range of symmetry systems, extending traditional methods and clarifying their differences.

Contribution

It generalizes the annihilation-operator technique to broader symmetry systems, linking it with the minimum-uncertainty approach for potential systems.

Findings

Provides a unified ladder-operator framework for squeezed states

Connects the method with minimum-uncertainty principles

Discusses distinctions from displacement-operator method

Abstract

We propose a ladder-operator method for obtaining the squeezed states of general symmetry systems. It is a generalization of the annihilation-operator technique for obtaining the coherent states of symmetry systems. We connect this method with the minimum-uncertainty method for obtaining the squeezed and coherent states of general potential systems, and comment on the distinctions between these two methods and the displacement-operator method.