Fock State Calculator
Enter the photon number n. The Fock State Calculator instantly computes photon statistics, Mandel Q, g²(0), uncertainty, and all properties of perfect number states |n⟩.
About the Fock State Calculator
The Fock State Calculator is a precise, scientifically accurate tool that computes all properties of quantum Fock states |n⟩ — pure number states with exactly n photons and zero uncertainty in photon number. This Fock State Calculator implements the exact quantum mechanical definitions for mean, variance, Mandel Q parameter, and second-order coherence g²(0). Proudly supported by Agri Care Hub.
Scientific Definition
⟨n̂⟩ = n
Δn = 0 (no uncertainty)
Q = -1 (maximum sub-Poissonian)
g²(0) = 0 (complete antibunching)
Why This Calculator Is Essential
Fock states are the most non-classical states of light: • Perfect photon number certainty • Complete photon antibunching g²(0)=0 • Maximum negative Mandel Q = -1 • Ideal for quantum information protocols • Basis for all quantum states of light • Generated in cavity QED, circuit QED, and heralded single-photon sources They violate classical inequalities and are essential for quantum superiority.
How to Use
- Enter integer photon number n ≥ 0.
- n=0 is vacuum, n=1 is single-photon state.
- Click “Calculate Fock State”.
- See perfect number statistics and non-classical measures.
When Should You Use This Tool?
- Quantum optics and single-photon source research
- Photon statistics and antibunching studies
- Quantum information theory
- Circuit QED and cavity QED
- Non-classical light characterization
- Teaching quantum states of light
Scientific Foundation
Fock states |n⟩ are eigenstates of the number operator n̂ with eigenvalue n, introduced by Vladimir Fock in 1932. They have zero photon number uncertainty and exhibit maximum quantum features like antibunching. Full theory at Fock State on Wikipedia and Scully & Zubairy’s *Quantum Optics*.
Conclusion
The Fock State Calculator brings the purest quantum states of light — with exactly n photons — to your browser with perfect accuracy and beautiful design. Whether you’re a student learning non-classical light, a researcher studying single-photon sources, or an engineer working on quantum technologies, this tool delivers precise results every time. For more quantum tools, visit Agri Care Hub.