Influence of squeezing on the weak-to-strong measurement transition

TL;DR

This paper explores how squeezing affects the transition from weak to strong measurements in quantum systems, introducing a new transition value and a method to control measurement regimes via pointer state parameters, with potential experimental applications.

Contribution

It introduces a novel transition factor and a new measurement regime control strategy using squeezed pointer states, extending the understanding of measurement transitions in quantum mechanics.

Findings

Relationship between pointer shifts and a new transition value

Control of measurement regimes by adjusting squeezing parameters

Theoretical application to trapped ion systems

Abstract

In this work, we study the measurement transition for a coherent squeezed pointer state through a transition factor $\Gamma$ that involves a system-pointer coupling by using an arbitrary measured observable $A$. In addition, we show that the shift in the pointer's position and momentum establishes a relationship with a new value defined as the transition value, which generalizes the weak value as well as the conditional expectaction value. Furthermore, a new strategy is introduced to achieve different measurement regimes by just adjusting the $r$ and $\phi_{\xi}$ parameters of the coherent squeezed pointer state, opening an interesting way to test quantum mechanics foundations. Our scheme has been theoretically applied in a trapped ion illuminated by a bichromatic laser beam, with a high potential to be implemented in future experimental setups.