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Ground state energy of dilute Bose gases in 1D - MaRDI portal

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Ground state energy of dilute Bose gases in 1D

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Publication:6505676

arXiv2203.17183MaRDI QIDQ6505676

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Abstract: We study the ground state energy of a gas of 1D bosons with density ho, interacting through a general, repulsive 2-body potential with scattering length a, in the dilute limit ho|a|ll1. The first terms in the expansion of the thermodynamic energy density are pi2ho3/3(1+2hoa), 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.












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