Studying the squeezing effect and phase space distribution of single-photon-added coherent state using postselected von Neumann measurement

TL;DR

This paper investigates how postselected von Neumann measurements affect the squeezing properties and phase space distribution of single-photon-added coherent states, revealing enhanced nonclassicality and potential for state optimization.

Contribution

It demonstrates that postselected von Neumann measurements can significantly modify squeezing features and increase nonclassicality in single-photon-added coherent states.

Findings

Postselected measurement alters squeezing characteristics.

Measurement enhances nonclassicality of the state.

Analytical results support potential for state optimization.

Abstract

In this paper, ordinary and amplitude-squared squeezing as well as Wigner functions of single-photon-added coherent state after postselected von Neumann measurements are investigated. The analytical results show that the von Neumann type measurement which is characterized by post-selection and weak value can significantly change the squeezing feature of single-photon-added coherent state. It is also found that the postselected measurement can increase the nonclassicality of the original state in strong measurement regimes. It is anticipated that this work could may provide an alternate and effective methods to solve state optimization problems based on the postselected von Neumann measurement technique.