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the master equation seems is a choice but this method seems only give a mean field result which can not show obviously the effect of specific interaction between particles. So, I am wondering is there any other method that can show the time evolution of a many body open system driven by interaction in the system?

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  • $\begingroup$ by "show" do you mean "compute"? The wikipedia page mentions a number of methods to solve open system dynamics $\endgroup$ – glS May 31 at 11:01
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Just to give a little more precise answer search for QUAMTUM MASTER EQUATION in david tongs quantum me notes. Also MIT lecture notes on QUANTUM RADIATION INTERACTION by P. CAPPELLARO Both of them required zero prerequisites as far I can see.

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