Squeezed State Calculator
Enter the squeezing parameter ξ. The Squeezed State Calculator instantly computes quadrature variances, uncertainty reduction, and squeezing in dB.
About the Squeezed State Calculator
The Squeezed State Calculator is a precise, scientifically accurate tool that computes the properties of squeezed coherent states — non-classical states of light with reduced uncertainty in one quadrature below the vacuum level. This Squeezed State Calculator implements the exact formulas from quantum optics for variance in X and P quadratures, squeezing in dB, and displacement. Proudly supported by Agri Care Hub.
Scientific Formulas
Variance: ΔX² = e^(-2r)/4, ΔP² = e^(2r)/4 (for φ=0)
Squeezing in dB: 10 log₁₀ (ΔX² / (1/4)) = -20 r / ln(10)
Minimum uncertainty: ΔX ΔP = 1/4
Why This Calculator Is Essential
Squeezed states are crucial in: • Precision measurement (LIGO gravitational waves) • Quantum information and teleportation • Continuous-variable quantum computing • Quantum metrology and sensing • Optical communication below shot noise • Single-photon detection enhancement They beat the standard quantum limit and enable sub-shot-noise measurements.
How to Use
- Enter squeezing parameter r (r>0 for squeezing).
- Enter phase φ to rotate squeezing direction.
- Optionally enter displacement α for squeezed coherent state.
- Click “Calculate Squeezed State”.
When Should You Use This Tool?
- Quantum optics and metrology research
- Gravitational wave detector analysis (LIGO)
- Continuous-variable quantum information
- Squeezed light source design
- Teaching non-classical states
- Precision interferometry
Scientific Foundation
Squeezed states were introduced by D. Stoler (1970) and realized experimentally by Slusher et al. (1985). They violate the standard quantum limit in one quadrature while increasing noise in the conjugate. The formulas are exact in the Heisenberg picture. Full theory at Squeezed State on Wikipedia and Walls & Milburn’s *Quantum Optics*.
Conclusion
The Squeezed State Calculator brings one of the most powerful non-classical states of light to your browser — with perfect accuracy and beautiful design. Whether you’re a student learning quantum noise reduction, a researcher working on gravitational wave detection, or an engineer designing quantum sensors, this tool delivers precise results every time. For more quantum tools, visit Agri Care Hub.