Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-12-05
Phys. Rev. A 85, 022705 (2012)
Physics
Condensed Matter
Quantum Gases
10 pages, 8 figures. Published version with figures improved
Scientific paper
10.1103/PhysRevA.85.022705
We present exact solutions of two-body problem for spin-1/2 fermions with isotropic spin-orbit(SO) coupling and interacting with an arbitrary short-range potential. We find that in each partial-wave scattering channel, the parametrization of two-body wavefunction at short inter-particle distance depends on the scattering amplitudes of all channels. This reveals the mixed partial-wave scattering induced by SO couplings. By comparing with results from a square-well potential, we investigate the validity of original pseudo-potential models in the presence of SO coupling. We find the s-wave pseudo-potential provides a good approximation for low-energy solutions near s-wave resonances, given the length scale of SO coupling much longer than the potential range. However, near p-wave resonance the p-wave pseudo-potential gives low-energy solutions that are qualitatively different from exact ones, based on which we conclude that the p-wave model can not be applied to the fermion system if the SO coupling strength is larger or comparable to the Fermi momentum.
No associations
LandOfFree
Mixed partial-wave scattering with spin-orbit coupling and validity of pseudo-potentials does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Mixed partial-wave scattering with spin-orbit coupling and validity of pseudo-potentials, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mixed partial-wave scattering with spin-orbit coupling and validity of pseudo-potentials will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-380029