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 Jul 17 asked How is it possible to combine various techniques in cold atom experiments? May 4 comment Intuition behind modeling quantum impurities as two-level systems Thanks for pointing me in the right direction. I read some more papers on the topic and saw that it is about occupancy as you say. If you copy+paste your comment above as a full answer below, I will select it. Otherwise, I'll try to write up a more detailed explanation (answering own question) some weeks later ... Apr 29 revised Intuition behind modeling quantum impurities as two-level systems additional point 2 Apr 29 asked Intuition behind modeling quantum impurities as two-level systems Jul 8 comment relative phase/sign in $\Psi$ after exchange of composite particles with angular momenta Ok, then I must have misunderstood what "relative angular momentum" meant. So "relative" here comes from the relative coordinates of the two atoms instead of having to do with the difference. ... I was going in the wrong direction from the beginning, trying to bring in z-projections and Clebsch-Gordan coefficients etc. Thanks for the feedback. I actually made an edit stating my real question, about the (-1)^L factor. I may be able to answer it myself given some more time to think about it, but I'll leave it hanging here. Jul 8 revised relative phase/sign in $\Psi$ after exchange of composite particles with angular momenta L and K are clear now. My real question was about (-1)^L Jul 7 asked relative phase/sign in $\Psi$ after exchange of composite particles with angular momenta May 12 comment few fermions in a harmonic trap — position density matrix from diagrammatics I actually tried the "Slater" version with N=3 too. Everything except the "diagrammatic" version seem to agree fairly closely. I guess for N=3, my diagrammatic reasoning is somehow wrong. May 11 awarded Scholar May 11 awarded Supporter May 11 accepted few fermions in a harmonic trap — position density matrix from diagrammatics May 11 comment few fermions in a harmonic trap — position density matrix from diagrammatics Sorry for the long delay in thanking you. I have just got around to working plotting your Ψ with Mathematica ("Slater") and found it to agree exactly with the "diagrammatic" version. The 2 curves lie right on top of each other. So it looks like there was a bug in my path integral Monte Carlo code ... Thanks again! Dec 13 revised few fermions in a harmonic trap — position density matrix from diagrammatics sentence cleanup Dec 13 awarded Editor Dec 13 revised few fermions in a harmonic trap — position density matrix from diagrammatics /background/statement/ Dec 13 awarded Student Dec 12 asked few fermions in a harmonic trap — position density matrix from diagrammatics