Amplitude-squared squeezing of Schr\"odinger cat states via Postselected von Neumann Measurement

TL;DR

This paper demonstrates that postselected von Neumann measurement can induce significant amplitude-squared squeezing in Schrödinger cat states, revealing a new method to manipulate quantum states through weak value amplification.

Contribution

It introduces a novel approach to generate amplitude-squared squeezing in Schrödinger cat states using postselected von Neumann measurement, which was previously not observed.

Findings

Amplitude-squared squeezing is dramatically enhanced after measurement.

Wigner function analysis confirms the squeezing effect.

Weak value amplification explains the observed changes.

Abstract

We know that the original Schr\"odinger cat states has no amplitude-squared squeezing. In this paper, we investigate the amplitude-squared squeezing of Schr\"odinger cat states using postselected von Neumann measurement. The results show that after postselected von Neumann measurement, the amplitude-squared squeezing of Schr\"odinger cat states change dramatically and this can be considered a result of weak value amplification. The squeezing effect also investigated by studying the Wigner function of Schr\"odinger cat states after postselected measurement.