Bogoliubov-like mode in the Tonks-Girardeau Gas

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

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.
4 pages, 1 figure

Keywords

Strongly Correlated Electrons

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/25927

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0502600
 http://arxiv.org/abs/cond-mat/0502600

Collections

arXiv