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Quantum Ghost Imaging
- 1. Quantum Ghost Imaging BY WATHAN PRATUMWAN
- 2. Imaging
- 4. Alice |↕ +|↔ Entangled pair |↕ 𝐴 |↕ 𝐵 +|↔ 𝐴 |↔ 𝐵 Bob |↕ +|↔
- 5. “I cannot seriously believe in quantum theory because it cannot be reconciled with the idea that physics should represent a reality in time and space, free from spooky actions at a distance.” ─ Albert Einstein
- 7. Experiment D1 collection lens Laser pump aperture filter coincidence circuit lens BBO filter signal prism polarizing beam splitter D2 idler X-Y scanning fibre
- 8. Result Coincident counts as a function of the fiber tip’s coordinates Aperture
- 9. aperture lens BBO beam splitter X-Y scanning fibre Gaussian thin lens 1 1 1 + = 𝑆 𝑆′ 𝑓
- 10. Entangled state wavefunction Phase-matching wavefunction |Ψ = 𝛿 𝜔𝑠 + 𝜔𝑖 − 𝜔 𝑝 𝛿 𝐤 𝑠 + 𝐤 𝑖 − 𝐤 𝑝 | 𝐤 𝑠 ⊗ | 𝐤 𝑖 𝑠,𝑖
- 11. Two-photon geometrical optics signal 𝛽𝑠 𝛼𝑠 𝛼𝑖 pump 𝛽𝑖 BBO idler 𝜔𝑠 ≃ 𝜔𝑖 ≃ 𝜔 𝑝 2 𝑘 𝑠 sin 𝛼 𝑠 = 𝑘 𝑖 sin 𝛼 𝑖 𝜔 𝑠 sin 𝛽 𝑠 = 𝜔 𝑖 sin 𝛽 𝑖
- 13. Two-photon geometrical optics collection lens lens 𝑓 = 400 mm D1 BBO 𝑆 = 600 mm 𝑆 ′ = 1200 mm fiber tip plane
- 14. Summary The entanglement is nonlocal correlation of multiparticle system. The ghost imaging experiment demonstrates the entanglement between a pair of photons. Geometrical optics can apply to quantum optics.
- 15. “We cannot make the mystery go away by explaining how it works. We will just tell you how it works.” ─ Richard P. Feynman
- 16. References Pittman, T., Shih, Y., Strekalov, D., & Sergienko, A. (1995). Optical imaging by means of two-photon quantum entanglement. Physical Review A, 52(5), R3429–R3432. Shih, Y. (2008). The Physics of Ghost Imaging. Quantum Physics. Retrieved from http://arxiv.org/abs/0805.1166
- 17. The End