Suggestion about research object(quantum mechanics)

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SUMMARY

The discussion centers on a Ph.D. student in theoretical physics seeking research topics in quantum mechanics, specifically related to geometric phases such as Berry phase and Aharonov-Anandan phase. The student is currently studying modern differential geometry, including Lie groups and principal fiber bundles, but finds it challenging to identify novel research avenues. Jim Graber suggests exploring topics in decoherence and quantum computing, particularly in relation to topological quantum computers, which utilize these phases.

PREREQUISITES
  • Theoretical physics fundamentals
  • Modern differential geometry
  • Understanding of Lie groups and principal fiber bundles
  • Basic knowledge of quantum mechanics
NEXT STEPS
  • Research decoherence in quantum mechanics
  • Explore quantum computing principles and applications
  • Investigate topological quantum computers and their relation to geometric phases
  • Study recent publications on Berry phase and Aharonov-Anandan phase
USEFUL FOR

Ph.D. students in theoretical physics, researchers in quantum mechanics, and anyone interested in exploring novel research topics in quantum computing and geometric phases.

bobydbcn
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Hello everyone,
I am a Ph.D student in my first semester. My major is theoretical physics. I am in china. Furthermore, the system of education is different from America and European. There is no courses here. So if you want to learn physics, you must depend on all yourself.Our main object are publishing at least three papers if you want to gratuate on time.
My tutor give me an subject about geometric phase, i.e. Berry phase, A-A phase and so on. It is really a hard one. These days, I plunge myself into the study of morden differential geometry especially in lie groups, pinciple fiber bundles, connection and parallel transport. Now I can read paper in that domain. However, I find it is very hard to find something new in that field. It is rather perfect.
So can you suggest me some domain that are easy to find some objects to publish? You had better the domain in quantum mechanics. I am not very familiar with quantum field theory. Thanks a lot!
 
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Try looking at something related to decoherence or quantum computing. Topological quantum computers use some of those phases, I think.

Jim Graber
 
jimgraber said:
Try looking at something related to decoherence or quantum computing. Topological quantum computers use some of those phases, I think.

Jim Graber

Thank a million for your constructive suggestion. I will think about them seriously.
Best wishes

bob
 

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