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Entanglement of Macroscopic Ensembles (Schroedinger’s Cat)

Entanglement of Macroscopic Ensembles (Schroedinger’s Cat). Team: Alex Heifetz (Graduate Student) Dr. Ashish Agarwal (Post-Doc) Prof. Prem Kumar (Collaborator) Prof. Philip Hemmer (Texas A&M; collaborator) Prof. Saxena (Visitor). Supported By: DARPA, NSF .

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Entanglement of Macroscopic Ensembles (Schroedinger’s Cat)

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  1. Entanglement of Macroscopic Ensembles (Schroedinger’s Cat) Team: Alex Heifetz (Graduate Student) Dr. Ashish Agarwal (Post-Doc) Prof. Prem Kumar (Collaborator) Prof. Philip Hemmer (Texas A&M; collaborator) Prof. Saxena (Visitor) Supported By: DARPA, NSF

  2. GENERATING ENSEMBLE ENTANGLEMENT LASER ENS 1 DET 1 d BS |e> |g> ENS 2 DET 2 DET 1

  3. 1 0 d L C |e> 1 0 |g> ADVANTAGE OF THE MACROSCOPIC APPROACH

  4. or Cavity Mode System • Field + Atom + Cavity e e Laser Field b b a a

  5. Wavefunction where • Initial condition before the interaction

  6. Light in state Number states e b a

  7. Hamiltonian

  8. Time evolution If we design the system such that then time evolution reduces to

  9. Laser in state Coherent State • Photon distribution • Coupling constant • Wavefunction

  10. d or Cavity Mode Result e Classical Laser Field b a

  11. Interaction time Single Photon Detector

  12. A Laser A D1 B B D2 Set-up for Entanglement generation

  13. Entangled Atomic States Conditional click in Either D1 Or D2 Photon Annihilation in Detector = Atom A Atom B Projected Atomic State

  14. Single Photon Detector Many Particle System

  15. Collective Enhancement Collective enhancement factor

  16. A Laser A D1 B B D2 Entanglement of atomic ensembles Conditional on detector click, Atomic ensembles are Entangled:

  17. F=1 P3/2 F=2 P3/2 Atomic Ensemble: 87Rb P3/2 Laser Field Raman signal F=2 6.8347 GHz F=1 6.8347 GHz 6.8347 GHz

  18. Ti-Sapphire Laser Argon ion Laser l/2 Rb Heat- Pipe Oven Raman Spectroscopy Set-up

  19. Rubidium Raman Laser Ti-Sapphire Laser Argon ion Laser p Spectrum Analyzer l/2 p OC PZT s Rb Heat Pipe Oven

  20. TRAPPING OF LIGHT IN A Pr:YSO CRYSTAL

  21. TRAPPING OF LIGHT IN A Pr:YSO CRYSTAL “Observation of Ultraslow and Stored Light Pulses in a Solid,” A. V. Turukhin, V.S. Sudarshanam, M.S. Shahriar, J.A. Musser, B.S. Ham, and P.R. Hemmer, Phys. Rev. Lett.88, 023602 (2002).

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