Effects of Postselected von Neumann Measurement on the Properties of Single-Mode Radiation Fields

TL;DR

This paper investigates how postselected von Neumann measurements influence the properties of various single-mode quantum states, revealing significant changes in photon statistics, correlations, and squeezing effects.

Contribution

It introduces a detailed analysis of the full-order effects of postselected von Neumann measurements on quantum optical states, expanding understanding of measurement impacts in quantum optics.

Findings

Conditional photon probabilities are significantly altered.

Second-order correlation functions change notably.

Squeezing effects are impacted after measurement.

Abstract

Postselected von Neumann measurement characterized by postselection and weak value has been found potential applications in quantum metrology and, solved plenty of fundamental problems in quantum theory. As an application of this new measurement technique in quantum optics, its effects on the features of single-mode radiation fields such as coherent state, squeezed vacuum state and Schrodinger cat sate are investigated by considering full-order effects of unitary evolution. The results show that the conditional probabilities of finding photons, second-order correlation functions, Q-factors and squeezing effects of those states after postselected measurement significantly changed compared with corresponding initial pointer states, respectively.