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Spinorbit coupling 
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#1
Apr1014, 10:23 PM

P: 4

Hello,
I see a Hamiltonian of spinorbit coupling, it is like this H=[itex]\frac{1}{2m} \sum_{\alpha} \left( \left( \partial_{\alpha}^2  2i\kappa_{\alpha} \sigma_{\alpha} \partial_{\alpha} \right) + \kappa_{\alpha}^2\right)[/itex] Here [itex]\hbar = 1. \kappa_{\alpha} [/itex] is the strength of spinorbit coupling, and [itex] \sigma_{\alpha} (\alpha = x, y, z)[/itex] are Pauli matrices. Can someone explain to me where this hamiltonian comes from? What is the meaning of each term? Thank you. 


#2
Apr1114, 10:34 AM

Sci Advisor
P: 3,564

Where did you see it?



#3
Apr1314, 09:52 PM

P: 4

I saw this hamiltonian in an article in arXiv titled "Enhancement of condensate depletion due to spinorbit coupling".



#4
Apr1414, 01:44 AM

Sci Advisor
P: 3,564

Spinorbit coupling
Next time, it would be kind of you to give either a link or at least a full reference for an article.
The hamiltonian in that article does not coincide completely with the one of your first post. However, I don't know where it comes from. Did you check the articles they are citing? To me, it looks rather dubious. Spin 1/2 for bosons? Certainly not as general as they claim it to be. 


#5
Apr1414, 09:13 PM

P: 4

I am confused for the Spin 1/2 for the bosons before. I checked it and found that in this system there is a pseudo Spin 1/2 states for the bosons.



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