2004/01/31 by M. D. Girardeau, Maxim Olshanii, M. Olshanii · 3 citations
Physics and Astronomy · #Advanced Frequency and Time Standards #Atom (system on chip) #Atomic and Subatomic Physics Research #Atomic physics #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermi Gamma-ray Space Telescope #Fermi gas #Fermion #Feshbach resonance #Ground state #Physics #Quantum electrodynamics #Quantum mechanics #Spin (aerodynamics) #Spinor #Wave function #cond-mat.soft
paper · pdf · doi:10.1103/physreva.70.023608
4+ pages, 1 figure, revtex4. Submitted to PRA. Minor corrections of typos and notation
arxiv created 2004/04/29 · openalex publication_date 2004/08/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Divergence-free pseudo-potentials 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 Sz.