Abu Hurairah meriwayatkan bahawa Rasulullah SAW bersabda yang bermaksud,
Apabila seorang anak Adam meninggal dunia, maka terputuslah amalannya kecuali melalui tiga sumber; sedekah jariah, ilmu yang dimanfaatkan dan anak soleh yang berdoa untuknya.

Thursday, July 26, 2012

Born-Markov Approximation

The derivation of a simpler master equation requires 4 keys approximations:
  1. Rotating Wave Approximation (RWA)
  2. Born Approximation

     3. The initial radiation field density operator commutes with the free Hamiltonian, and the reservoir is not 
         affected by the interactions with the system

     4.  Markov Approximation:

All these 4 approximation is called Born-Markov Approximation.

-Source : Yoshihisa Yamamoto & Atac Imamoglu, Mesoscopic Quantum Optics


kadori-san said...

i wish i can understand these thing

Meen Sabri said...

Im really sorry for not elaborate more. Its so busy. maybe I will put along the explanation when Im in writing stage. As for now, I just can put the step-by-step calculation So I can refresh my understanding.

This method is used to derive master equation for a system interacts with reservoir which the dissipation will be included. once the dissipation is took into account, then the unitary time evolution method (the simpler derivation)is inapplicable to study the interaction. So we use master equation to get the density matrix elements. using density matrix elements, we can calculate any optical properties interested.

I believe you have already know these and familiar with the terms... If you requires more axplanation, please pray for me so I can finish earlier than I will have more time to share the physics behind....hehehhe... thanks in advance... pray ye...

Anonymous said...

wow, this one is good, gonna use for another sport but i think it'll be just as good, BIG thanks :)

Ali Alsaqqa said...

Thanks for that. I am interested in Quantum Computing (and currently doing Masters at University at Buffalo, USA). I would recommend Introduction to Quantum Optics: From the Semi-classical Approach to Quantized Light - Gilbert Grynberg.

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