I am going to calculate the complex susceptibility of three-level silicon atom which doped in a silica substrate under electromagnetically induced transparency conditions. I have extracted corresponding relations from “Quantum Optics” by Marlan O.Scully and M.Suhail zubairy (page 227- relations: 7.3.14 and 7.3.15 which I attached here). Base on this reference and considering ωab=305.9 THz (λab=980 nm) and ωac=νµ=193.4 THz (λac=1550 nm), How I can calculate or take into account the other parameters consist of Dipole Momentum, off-diagonal decay rates for ρab and ρac (denoted by γ1 and γ2) and Rabi frequency (Ωµ)?
Best,
Bijan Goudarzi
Dear Bijan, I believe that what you want may be on the following two pages...with no approximations as in the Scully Suhail book. My apologies if I did not understand the question correctly. Additionally, the approach in these pages are coded into the attached short octave file (ignore teh comments at the top). Peace, and take care, -Mike Crescimanno, YSU, Physics
Well, you should calculate or estimate these parameters independently. You can calculate the dipole momentum from the Fermi Rule or a better approach for your system (still within quantum mechanics). Knowing your laser intensity and the dipole matrix element for the involved transitions, you can calculate the corresponding Rabi frequencies. Concerning the decay rates, they can be composed of different contributions, like state lifetime, laser dephasing, collisional dephasing, temperature effects (like doppler broadening).
You can get more insight in this paper:
Article Fleischhauer, M., Imamolu, A. & Marangos, J. P. Electromagne...
Well, you should calculate or estimate these parameters independently. You can calculate the dipole momentum from the Fermi Rule or a better approach for your system (still within quantum mechanics). Knowing your laser intensity and the dipole matrix element for the involved transitions, you can calculate the corresponding Rabi frequencies. Concerning the decay rates, they can be composed of different contributions, like state lifetime, laser dephasing, collisional dephasing, temperature effects (like doppler broadening).
You can get more insight in this paper:
Article Fleischhauer, M., Imamolu, A. & Marangos, J. P. Electromagne...
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