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George R. Welch Marlan O. Scully Irina Novikova Andrey Matsko M. Suhail Zubairy Eugeniy Mikhailov

Ellipticity-Dependent Magneto-Optical Polarization Rotation via Multi-Photon Coherence. George R. Welch Marlan O. Scully Irina Novikova Andrey Matsko M. Suhail Zubairy Eugeniy Mikhailov. Texas A&M University Institute for Quantum Studies. Irina Novikova Andrey Matsko. M. Suhail Zubairy.

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George R. Welch Marlan O. Scully Irina Novikova Andrey Matsko M. Suhail Zubairy Eugeniy Mikhailov

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  1. Ellipticity-Dependent Magneto-Optical Polarization Rotation via Multi-Photon Coherence George R. Welch Marlan O. Scully Irina Novikova Andrey Matsko M. Suhail Zubairy Eugeniy Mikhailov Texas A&M University Institute for Quantum Studies Irina Novikova Andrey Matsko M. Suhail Zubairy Eugeniy Mikhailov Office of Naval Research Air Force Research Lab Office of Naval Research Air Force Research Lab

  2. Outline: • Atomic Coherence • Electromagnetically induced transparency (EIT) • Nonlinear Magneto Optic Polarization Rotation • Large rotation, near Earth’s field • NMOR for Elliptically Polarized Light • Higher order atomic coherence • L+M Scheme • Experimental results

  3. Natural decay g The combined action of the drive and probe lasers produces a quantum superposition of the two lower states: Then, the probe field interacts with this superposition state. Coupling Laser ‘‘Drive Laser’’ Probe Laser: frequency w Coherence Decay gbc Atomic Coherence Effects Three (or more) Atomic Energy Levels a c b

  4. Three Level System a For:  Low density (single atom response)  Monochromatic probe  Weak probe W > Wp Calculate susceptibility of homogeneously broadened 3-level system. See for example, Scully and Zubairy, Quantum Optics, Cambridge University Press, 1997. W g Wp c gbc b where

  5. Non-Anomolous dispersion Ultra slow light Transparency Vg = 1 m/s (c/300,000,000) Ketterly et al., 2001. Three Atomic Energy Levels Electromagnetically Induced Transparency a n=1 index of refraction c b Transmission through 10,000 absorption lengths, Harris et al., 1998. absorption (w-w0)/g

  6. M=0 E+ E- M=-1 M=0 M=1 Linearly polarized light B -BB Ideal System for Studying EIT: Nonlinear Magneto-Optic Rotation atomic medium

  7. Measurements Transmission  S1+S2 Recorded signals Rotationangle

  8. High Optical Density:Large rotation angle Scaling to high density and laser power gives multiple oscillations as polarization rotation passes 2p

  9. Corresponding Verde constant: V~7·103 min·oersted-1·cm-1 Magnetic TGG crystal: V ~0.4 min·oersted-1·cm-1

  10. Self-rotation

  11. Ries et al., http://xxx.lanl.gov/abs/quant-ph/0303109

  12. F'=1 F'=2 Magneto-optic rotation of elliptical polarization L-Scheme 87Rb L+M Scheme A.B. Matsko, I. Novikova, M. S. Zubairy, G.R. Welch, PRA 67, 043805 (2003).

  13. +M  A.B. Matsko, I. Novikova, M. S. Zubairy, G.R. Welch, Optics Letters, January 15 (2003).

  14. Ellipticity-dependent NMOR: experiment

  15. Isolation of M-scheme enhancement

  16. 4-photon coherence 6-photon coherence Higher-order chains F'=2 85Rb F=3 3L + M Scheme

  17. 3+M M NMOR for atoms with higher angular momentum

  18. Conclusion: • Study of NMOR of elliptically polarized light • L, M, and higher-chain schemes • Enhancement of rotation due to multiphoton coherence

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