Squeezed Light — Quantum Noise & Homodyne Detection

Heisenberg: ΔX₁·ΔX₂ ≥ 1/4, squeezed below shot noise in one quadrature

State Parameters

Squeezed coherent state |α,ξ⟩:
ΔX₁ = e^(-r)/2, ΔX₂ = e^(r)/2
Product = 1/4 (minimum uncertainty)
Shot noise limit: ΔX = 1/2
Squeezing: V_s/V_shot < 1
dB: −10·log₁₀(ΔX₁²/shot²)
ΔX₁ (squeezed):
ΔX₂ (anti-sq):
Product ΔX₁·ΔX₂:
Squeezing (dB):