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Optimal Pulse sequences for efficient population transfer in lower (n<10) Rydberg states

Optimal Pulse sequences for efficient population transfer in lower (n<10) Rydberg states. Mudessar Shah How Camp Marc Trachy. Supervisor: Brett DePaola. Application. Need for a system to be in a specified quantum state Laser control of chemical reactions Atom optics

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Optimal Pulse sequences for efficient population transfer in lower (n<10) Rydberg states

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  1. Optimal Pulse sequences for efficient population transfer in lower (n<10) Rydberg states Mudessar Shah How Camp Marc Trachy Supervisor: Brett DePaola

  2. Application Need for a system to be in a specified quantum state • Laser control of chemical reactions • Atom optics • Quantum information

  3. Absorp. k E=ћω P=ћK J= ћ E=0 P=0 J= 0 E=ћω P=ћK J= ћ Two level system 1.0 adiab. coh. exc. Exci. population 0.5 incoh. exc. Pe(t)=1/2[1-e-F(T)] F(T)= I(t)dt Pe(t)=1/2[1-cosΩt] when radiation varies in amplitude cosine argument is replaced by so-called pulse area 0.0 time

  4. Advantages • Excitation between state of same parity can be produced, for which single photon transition are forbidden for electric dipole radiation, or between magnetic sublevels. (for 3 and higher) • Excitation efficiency can be made insensitive to many of experimental details (pulse area, Shape etc). • 100% population transfer between same parity state is possible

  5. |3> 4d 2 |2> 5p  1 |1> 5s Ladder Theoratical prediction For three level systems

  6. |4> 3 9f 4d Delay2 Delay1 |3> 2 2 5p L3 L1 L2 |2> 1 1 |1> 5s Ladder Adiabatic population transfer using sequential pulses (Three photon transition)

  7. Equation of motion

  8. Delay2 Delay1 L2 L3 L1 Delay1 Vs %f population

  9. Delay2 Delay1 L2 L3 L1 Delay2 Vs %f population

  10. |4> 3 |3> 2 2 |2> 1 1 |1> Ladder L1 vs %f

  11. |4> 3 |3> 2 2 |2> 1 1 |1> Ladder L3 vs %9f

  12. |4> 3 |3> 2 2 |2> 1 1 |1> Ladder L2 vs %f

  13. |4> 3 |3> 2 2 |2> 1 1 |1> Ladder Detuning1 vs %f

  14. |4> 3 |3> 2 2 |2> 1 1 |1> Ladder Detuning2 vs %f

  15. General Apparatus Design

  16. Q-Value Spectra Q-Value Spectra 5s-3p 4d-3d 5s-3s

  17. 5p-3p 4d-3s 4d-3d 2D Spectrum 2.5 2D Spectrum 5s-3p 5p-3p 5s-3s 2.0 1.5 Time (ms) 1.0 0.5 0.0 50 100 150 Q-Value (Channel)

  18. Time Evolution of Population

  19. TAC spectra for 9f

  20. Thanks!

  21. |4> 3 |3> 2 2 |2> 1 1 |1> Ladder %5p vs %9f

  22. |4> 3 |3> 2 2 |2> 1 1 |1> Ladder %5s vs %9f

  23. |4> 3 |3> 2 2 |2> 1 1 |1> Ladder %4d vs %9f

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