Virial theorem for confined universal Fermi gases
| dc.creator | Thomas, J. E. | |
| dc.date | 2008-03-11 | |
| dc.date.accessioned | 2026-07-07T09:26:13Z | |
| dc.date.available | 2026-07-07T09:26:13Z | |
| dc.description | Optically-trapped two-component Fermi gases near a broad Feshbach resonance exhibit universal thermodynamics, where the properties of the gas are independent of the details of the two-body scattering interactions. We present a global proof that such a universal gas obeys the virial theorem for {\it any} trapping potential $U$ and any spin mixture, without assuming either the local density approximation or harmonic confinement. The total energy of the gas is given in scale invariant form by $E=<ε\partial U/\partialε>$, where $ε$ is an {\it arbitrary} energy scale in terms of which all length and energy scales that appear in the confining potential are written. This result enables model-independent energy measurement in traps that are anharmonic as well as anisotropic by observing only the cloud profile, and provides a consistency check for many-body calculations in the universal regime. | |
| dc.description | 3 pages | |
| dc.identifier | https://arxiv.org/abs/0803.1647 | |
| dc.identifier | http://arxiv.org/abs/0803.1647 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156673 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Other Condensed Matter | |
| dc.title | Virial theorem for confined universal Fermi gases | |
| dc.type | text |