Interactive Squeezed Light Visualizer

Instructions

Adjust the parameters below to see how squeezed displaced thermal states appear in phase space and amplitude measurements. Each dot in the phase space plot represents a statistical measurement of the X and P quadratures, while the amplitude plot shows how the amplitude quadrature varies with optical phase - exactly what your photodetectors would measure across many identical quantum states.

Display theoretical curves & bounds
Phase Space Representation
Amplitude Quadrature vs Optical Phase

Quantum State Parameters

Units: Vacuum variance normalized to 1 (ℏ = 2)

Displacement Vector

⟨x⟩ = 0.000
⟨p⟩ = 0.000

Covariance Matrix

[ 0.000 0.000 ]
[ 0.000 0.000 ]

Gaussian states, such as the ones on this page, can be completely described by their displacement vector and covariance matrix. When working with Gaussian states, in theory or computationally, in practice the displacement vector and covariance matrix representations of the state are by far the most convenient to work with.