Short Range Scaling Laws of Quantum Gases With Contact Interactions
| dc.creator | Tan, Shina | |
| dc.date | 2004-12-31 | |
| dc.date | 2005-02-18 | |
| dc.date.accessioned | 2026-07-07T03:02:59Z | |
| dc.date.available | 2026-07-07T03:02:59Z | |
| dc.description | The probability amplitude for $N$ particles in a quantum gas with negligible range of interparticle interaction potentials to come to a small region of size $r$ scales like $r^γ$. It is shown that $γ$ is quantitatively related to the ground state energy of these $N$ fermions in the unitarity limit, confined by an isotropic harmonic potential. For large $N$, the short range density distribution of these $N$ particles is predominantly the same as the Thomas-Fermi profile of the gas in the unitarity limit confined by such a harmonic potential. These results may shed light on strongly interacting ultracold atomic Fermi gases, in a trap or on an optical lattice. | |
| dc.description | 4 pages, 1 figure. 2nd version: the last sentence of the abstract changed; acknowledgements completed | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0412764 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0412764 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25598 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Short Range Scaling Laws of Quantum Gases With Contact Interactions | |
| dc.type | text |