Ground state energy of dilute Bose gases in 1D
Publikation: Working paper › Preprint › Forskning
Dokumenter
- Fulltext
Forlagets udgivne version, 387 KB, PDF-dokument
We study the ground state energy of a gas of 1D bosons with density ρ, interacting through a general, repulsive 2-body potential with scattering length a, in the dilute limit ρ|a|≪1. The first terms in the expansion of the thermodynamic energy density are π2ρ3/3(1+2ρa), where the leading order is the 1D free Fermi gas. This result covers the Tonks-Girardeau limit of the Lieb-Liniger model as a special case, but given the possibility that a>0, it also applies to potentials that differ significantly from a delta function. We include extensions to spinless fermions and 1D anyonic symmetries, and discuss an application to confined 3D gases.
Originalsprog | Engelsk |
---|---|
Udgiver | arxiv.org |
Udgave | arXiv:2203.17183 |
Antal sider | 36 |
DOI | |
Status | Udgivet - 2022 |
Navn | arXiv |
---|
Antal downloads er baseret på statistik fra Google Scholar og www.ku.dk
Ingen data tilgængelig
ID: 337697167