Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-09-17
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 3 figures, revtex4
Scientific paper
A K-matrix for waveguide confined spin-polarized fermionic atoms recently computed by Granger and Blume is identified, in the low-energy domain, with a contact condition for one-dimensional (1D) spinless fermions. Difficulties in consistently formulating the contact conditions in terms of interaction potentials are discussed and a rigorous alternative variational reformulation is constructed. A duality between 1D fermions and bosons with zero-range interactions suggested by Cheon and Shigehara is shown to hold for the effective 1D dynamics of a spin-polarized Fermi gas with 3D p-wave interactions and that of a Bose gas with 3D s-wave interactions in a tight waveguide. This generalizes the mapping from impenetrable bosons (TG gas) to free fermions and is used to derive the equation of state of an ultracold spin-polarized fermionic vapor in a tight waveguide. Near a 1D confinement-induced resonance one has a "fermionic TG gas" which maps to an ideal Bose gas.
Girardeau Marvin D.
Olshanii Maxim
No associations
LandOfFree
Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides 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 Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-137176