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Electromagnetically Induced Transparency

The physics of EIT is presented

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Electromagnetically Induced Transparency

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  1. Electromagnetically Induced Transparency(EIT) Presenter: B. Younessi Bonab University 1

  2. Overview • Introduction • The history of EIT • The Physics of EIT • Some EIT-related phenomena 2

  3. Introduction Electromagnetically induced transparency is a technique for eliminating the effect of medium on a propagating beam of electromagnetic radiation. A weak probe normally experiences absorption shown in blue. A second coupling beam induces EIT and creates a "window" in the absorption region (red). 3

  4. The history of EIT • The Physical effect that is the essence of EIT is called coherent population trapping which was discovered in 1976 by Gerardo Alzetta and his coworkers at University of Pisa in Italy • Population trapping introduced and shown by Olga Kocharovskaya and YakovKhanin at the Kalinin Leningrad Polytechnic institute in 1986 • EIT introduced in 1990 and experimentally observed in 1991 by Steve Harris (AtacImamoglu, K. Boller, Marlan Scully, … have also played important roles in developing EIT) 4

  5. The Physics of EIT 5

  6. The Physics of EIT(Physical and Optical Properties of Rubidium 87 ) From Quantum mechanics we have J= L+S L: orbital angular momentum S: spin angular momentum The hyperfine structure is a result of the coupling of J with the total nuclear angular momentum I. The total atomic angular momentum F is then given by F=J+I I: total nuclear angular momentum The magnitude of F can take the values For the ground state in 87Rb, L = 0 and S = 1/2, so J = 1/2; for the first excited state, L = 1, so J = 1/2 or J = 3/2 the L=0 L=1 (D line) transition is split into two components; the D1 line and the D2 line For the 87Rb ground state, J = 1/2 and I = 3/2, so F = 1 or F = 2. 6

  7. The Physics of EIT(Physical and Optical Properties of Rubidium 87 ) 7

  8. The Physics of EIT(Static description of EIT) The total Hamiltonian can be written as After having introduced the dipole approximation as well as the rotating wave approximation, the interaction Hamiltonian can be represented in a rotating frame by 8

  9. The Physics of EIT(Static description of EIT) The eigenvalues of the interaction Hamiltonian can be calculated to It is straightforward to verify that the corresponding eigenstates of the interaction Hamiltonian are 9

  10. The Physics of EIT(Static description of EIT) If 10

  11. The Physics of EIT(The origin of EIT) The ground state becomes identical to the dark state from which excitation cannot occur This results in EIT 11

  12. The Physics of EIT(Dynamic description of EIT) 12

  13. The Physics of EIT(Dynamic description of EIT) Master Equation Polarization 13

  14. The Physics of EIT(Density matrix solution) By applying perturbation theory Off-diagonal density-matrix elements 14

  15. The Physics of EIT(The linear susceptibility) 15

  16. The Physics of EIT(EIT) For two-photon Raman resonance( ) and ( ) both bothrealand imaginary parts of the linear susceptibility vanish. 16

  17. EIT-related phenomena(Slow light) 17

  18. EIT-related phenomena(Light storage) 18

  19. EIT-related phenomena(Experimental setup) 19

  20. Thanks for your attention and patience! Any questions?

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