How Do I Tackle Quantum Open Systems in Theoretical Research?

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SUMMARY

The discussion centers on the challenges faced by a physical chemistry PhD student tasked with theoretical research in quantum open systems, specifically quantum transport. Key methodologies mentioned include Keldysh's non-equilibrium Green's function and Feynman's diagram, which are standard in the field. However, contemporary research groups are increasingly utilizing alternative approaches, such as the Lindblad formalism in quantum optics and time-dependent density functional theory for nanoelectronics and molecular electronics. The student seeks guidance and expertise to navigate these complex topics.

PREREQUISITES
  • Understanding of non-equilibrium quantum statistical mechanics
  • Familiarity with Keldysh's non-equilibrium Green's function
  • Knowledge of Feynman's diagram techniques
  • Basic principles of time-dependent density functional theory
NEXT STEPS
  • Research the Lindblad formalism in quantum optics
  • Explore time-dependent density functional theory applications in nanoelectronics
  • Study many-body systems and their coupling to reservoirs
  • Investigate alternative methods to Keldysh's formalism in quantum transport
USEFUL FOR

This discussion is beneficial for PhD students in physical chemistry, theoretical physicists focusing on quantum mechanics, and researchers exploring quantum transport and open quantum systems.

tghg
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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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