Bogoliubov-like mode in the Tonks-Girardeau Gas
| dc.creator | Ovchinnikov, Igor V. | |
| dc.creator | Neuhauser, Daniel | |
| dc.date | 2005-02-25 | |
| dc.date.accessioned | 2026-07-07T03:03:54Z | |
| dc.date.available | 2026-07-07T03:03:54Z | |
| dc.description | We reformulate 1D boson-fermion duality in path-integral terms. The result is a 1D counterpart of the boson-fermion duality in the 2D Chern-Simons gauge theory. The theory is consistent and enables, using standard resummation techniques, to obtain the long-wave-length asymptotics of the collective mode in 1D boson systems at the Tonks-Girardeau regime. The collective mode has the dispersion of Bogoliubov phonons: $ω(q)=q \sqrt{\barρU(q)/m}$, where $\barρ$ is the bosons density and $U(q)$ is a Fourier component of the two-body potential. | |
| dc.description | 4 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0502600 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0502600 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/25927 | |
| dc.subject | Strongly Correlated Electrons | |
| dc.title | Bogoliubov-like mode in the Tonks-Girardeau Gas | |
| dc.type | text |