Ground state energy of dilute Bose gases in 1D

Publikation: Working paper › Preprint › Forskning

Standard

Ground state energy of dilute Bose gases in 1D. / Agerskov, Johannes; Reuvers, Robin; Solovej, Jan Philip.

arXiv:2203.17183. udg. arxiv.org, 2022.

Publikation: Working paper › Preprint › Forskning

Harvard

Agerskov, J, Reuvers, R & Solovej, JP 2022 'Ground state energy of dilute Bose gases in 1D' arXiv:2203.17183 udg, arxiv.org. https://doi.org/10.48550/arXiv.2203.17183

APA

Agerskov, J., Reuvers, R., & Solovej, J. P. (2022). Ground state energy of dilute Bose gases in 1D. (arXiv:2203.17183 udg.) arxiv.org. arXiv https://doi.org/10.48550/arXiv.2203.17183

Vancouver

Agerskov J, Reuvers R, Solovej JP. Ground state energy of dilute Bose gases in 1D. arXiv:2203.17183 udg. arxiv.org. 2022. https://doi.org/10.48550/arXiv.2203.17183

Author

Agerskov, Johannes ; Reuvers, Robin ; Solovej, Jan Philip. / Ground state energy of dilute Bose gases in 1D. arXiv:2203.17183. udg. arxiv.org, 2022. (arXiv).

Bibtex

@techreport{2173f08afb0c44b9830d9020cb6ee9bf,
title = "Ground state energy of dilute Bose gases in 1D",
abstract = "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.",
author = "Johannes Agerskov and Robin Reuvers and Solovej, {Jan Philip}",
year = "2022",
doi = "10.48550/arXiv.2203.17183",
language = "English",
series = "arXiv",
publisher = "arxiv.org",
edition = "arXiv:2203.17183",
type = "WorkingPaper",
institution = "arxiv.org",

}

RIS

TY - UNPB

T1 - Ground state energy of dilute Bose gases in 1D

AU - Agerskov, Johannes

AU - Reuvers, Robin

AU - Solovej, Jan Philip

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

UR - http://inspirehep.net/record/2060757

U2 - 10.48550/arXiv.2203.17183

DO - 10.48550/arXiv.2203.17183

M3 - Preprint

T3 - arXiv

BT - Ground state energy of dilute Bose gases in 1D

PB - arxiv.org

ER -

ID: 337697167