Ground state energy of dilute Bose gases in 1D
Publikation: Working paper › Preprint › Forskning
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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
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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