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

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 ${\varphi }_{\xi }$ 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.

References in corpus (4)

• Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
• Complex weak values in quantum measurement
• Quantum harmonic oscillator state synthesis by reservoir engineering
• Dense Quantum Measurement Theory

Cited by in corpus (5)

• Single-photon-added coherent state based measurement transition and its advantages in precision measurement
• Generation of entanglement via squeezing on a tripartite-optomechanical system
• General approach of weak-to-strong measurement transition for Fock-state-based pointer states
• Studying the squeezing effect and phase space distribution of single-photon-added coherent state using postselected von Neumann measurement
• Theoretical investigation of the relations between quantum decoherence and weak-to-strong measurement transition