How Do I Tackle Quantum Open Systems in Theoretical Research?

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The discussion centers on a student in physical chemistry seeking guidance on theoretical research in quantum open systems, specifically quantum transport. They express feelings of being overwhelmed and highlight the traditional methods, such as Keldysh's non-equilibrium Green's function and Feynman's diagrams, while noting a shift away from these techniques in current research. Participants suggest alternative approaches, like the Lindblad formalism in quantum optics, and emphasize the relevance of time-dependent density functional theory combined with non-equilibrium Green's functions for nanoelectronics and molecular electronics. The student is encouraged to provide more specific details about their research focus to receive tailored advice. Overall, the conversation underscores the complexity of the field and the need for expert guidance.
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Hello everyone, I am a student major in physical chemistry, but my PhD supervisor ask me to do some theoretical research in the field of quantum open system i.e. quantum transport. I feel it beyond my reach.
I've learned that the this field belongs to non equilibrium quantum statistical mechanics and the standard method is the Keldysh's non equilibrium Green's function and Feynman's diagram. But nowadays many groups including mine do not use this standard method.
Can someone discuss with me? Maybe I can pm you my msn. I feel very painful and depressed.
I need expertise badly! Help me!
 
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What kind of systems are you referring to?
There are many approaches to open system; in e.g. quantum optics you can usually get away with using Lindblad formalism which is relatively straighforwards.
But it sounds more like you are thinking about e.g. many-body systems coupled to a reservoir?
 
Sorry, I have not provided enough information.
In fact, nanoelectronics or moluclar electronics calls for time dependent density functional theory combined with non equilibrium Green's function.
 

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