Three comments on the Fermi gas at unitarity in a harmonic trap
| dc.creator | Son, D. T. | |
| dc.date | 2007-07-12 | |
| dc.date.accessioned | 2026-07-07T08:16:18Z | |
| dc.date.available | 2026-07-07T08:16:18Z | |
| dc.description | In this note we consider three issues related to the unitary Fermi gas in a harmonic trap. We present a short proof of a virial theorem, which states that the average energy of a particle system at unitarity in a harmonic trap is twice larger than the average potential energy. The theorem is valid for all systems with no intrinsic scale, at zero or finite temperature. We discuss the odd-even splitting in a unitarity Fermi gas in a harmonic trap. We show that at large number of particles N the odd-even splitting is proportional to N^{1/9}\hbarω, with an undetermined numerical constant. We also show that for odd N the lowest excitation energies are of order N^{-1/3}\hbarω. | |
| dc.description | 6 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/0707.1851 | |
| dc.identifier | http://arxiv.org/abs/0707.1851 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/133731 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Three comments on the Fermi gas at unitarity in a harmonic trap | |
| dc.type | text |