Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides
| dc.creator | Girardeau, M. D. | |
| dc.creator | Olshanii, M. | |
| dc.date | 2003-09-17 | |
| dc.date.accessioned | 2026-07-07T02:53:29Z | |
| dc.date.available | 2026-07-07T02:53:29Z | |
| dc.description | 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. | |
| dc.description | 4 pages, 3 figures, revtex4 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0309396 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0309396 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/22237 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides | |
| dc.type | text |