Generalized minimum-uncertainty squeezed states

TL;DR

This paper develops methods to analyze and characterize generalized minimum-uncertainty squeezed states related to various observables, including nonlinear and deformed states, aiding optimized quantum measurements with reduced noise.

Contribution

It introduces numerical methods for characterizing generalized squeezed states linked to specific observables, extending the analysis beyond traditional quadrature states.

Findings

Methods for characterizing nonlinear and deformed squeezed states

Derivation of states related to specific observables

Potential for optimized quantum measurements with reduced noise

Abstract

Minimum-uncertainty squeezed states, related to a broad class of observables, are analyzed. Methods for characterizing such states are developed, which are based on numerical solutions of ordinary differential equations. As typical examples we deal with nonlinear generalizations of quadrature squeezed states and deformed nonlinear squeezed states. In this manner one may derive those squeezed states which are directly related to given observables. This can be useful for optimized measurements at a reduced level of quantum-noise.