Sunday, January 27, 2013

Markov approximation neglects the short time correlations between the system

http://www.doria.fi/bitstream/handle/10024/76755/Annales%20A%20I%20439%20Paavola%20DISS.pdf?sequence=1


When the interaction with the environment is taken into account, the dynamics

is not unitary anymore and the equation of motion rarely has an analytic

solution. Therefore one often has to make approximations in order to

obtain analytical results. The two most common approximations are the Born

or weak coupling approximation, and the Markov approximation. The former

assumes that the system and the reservoir are not interacting very strongly,

while the latter one neglects the short time correlations between the system

and the reservoir.

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