Fundamental limits to the highly-displaced bright squeezed light generation based on linear optics and parametric processes

High-quality squeezed light is pivotal for numerous applications. While several methods for generating this light have been both theoretically and experimentally established, their efficacy, especially their inherent signal limitations, hasn't been extensively explored. In this presentation, we delve into a theoretical comparison of generating highly-displaced, bright squeezed light using a linear optical method – specifically, a beam-splitter that combines a squeezed vacuum with a potent coherent state – and parametric amplification techniques. These techniques encompass optical parametric oscillators, optical parametric amplifiers, and a dissipative optomechanical squeezer infused with coherent states. Our findings indicate that the caliber of highly-displaced bright squeezed states produced via these methods is fundamentally constrained by their respective physical mechanisms. Across all methods, we observed significant tradeoffs between brightness, squeezing, and the overall uncertainty in quadrature measurements. We further dissect the nature and magnitude of these tradeoffs for each technique, pinpoint the most effective operational modes, and argue the inherent tradeoff inevitability, especially for parametric amplifier-based squeezers.