Theory of spinor Fermi and Bose gases in tight atom waveguides

Details Theory of spinor Fermi and Bose gases in tight atom waveguides Theory of spinor Fermi and Bose gases in tight atom waveguides

2004-01-21

arxiv.org/abs/cond-mat/0401402v2

Physics

Condensed Matter

Soft Condensed Matter

4+ pages, 1 figure, revtex4. Submitted to PRA. Minor corrections of typos and notation

Scientific paper

10.1103/PhysRevA.70.023608

Divergence-free pseudopotentials for spatially even and odd-wave interactions in spinor Fermi gases in tight atom waveguides are derived. The Fermi-Bose mapping method is used to relate the effectively one-dimensional fermionic many-body problem to that of a spinor Bose gas. Depending on the relative magnitudes of the even and odd-wave interactions, the N-atom ground state may have total spin S=0, S=N/2, and possibly also intermediate values, the case S=N/2 applying near a p-wave Feshbach resonance, where the N-fermion ground state is space-antisymmetric and spin-symmetric. In this case the fermionic ground state maps to the spinless bosonic Lieb-Liniger gas. An external magnetic field with a longitudinal gradient causes a Stern-Gerlach spatial separation of the corresponding trapped Fermi gas with respect to various values of $S_z$.

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