Functional renormalization for trion formation in ultracold fermion gases
| dc.creator | Floerchinger, S. | |
| dc.creator | Schmidt, R. | |
| dc.creator | Moroz, S. | |
| dc.creator | Wetterich, C. | |
| dc.date | 2008-09-09 | |
| dc.date | 2009-01-17 | |
| dc.date.accessioned | 2026-07-07T12:30:55Z | |
| dc.date.available | 2026-07-07T12:30:55Z | |
| dc.description | The energy spectrum for three species of identical fermionic atoms close to a Feshbach resonance is computed by use of a nonperturbative flow equation. Already a simple truncation shows that for large scattering length $|a|$ the lowest energy state is a "trion" (or trimer) bound state of three atoms. At the location of the resonance, for $|a|\to\infty$, we find an infinite set of trimer bound states, with exponentially decreasing binding energy. This feature was pointed out by Efimov. It arises from limit cycle scaling, which also leads to a periodic dependence of the three body scattering coupling on $\ln |a|$. Extending our findings by continuity to nonzero density and temperature we find that a "trion phase" separates a BEC and a BCS phase, with interesting quantum phase transitions for T=0. | |
| dc.description | 9 pages, 4 figures, minor changes, reference added | |
| dc.identifier | https://arxiv.org/abs/0809.1675 | |
| dc.identifier | http://arxiv.org/abs/0809.1675 | |
| dc.identifier | Phys. Rev. A 79, 013603 (2009) | |
| dc.identifier | doi:10.1103/PhysRevA.79.013603 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/216281 | |
| dc.subject | Superconductivity | |
| dc.title | Functional renormalization for trion formation in ultracold fermion gases | |
| dc.type | text |