The Ground State Energy of a Two-Dimensional Bose Gas

Søren Fournais*, Theotime Girardot, Lukas Junge, Leo Morin, Marco Olivieri

*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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Abstract

We prove the following formula for the ground state energy density of a dilute Bose gas with density ρ in 2 dimensions in the thermodynamic limit (Formula presented.) as ρa2→0. Here Y=|log(ρa2)|-1 and a is the scattering length of the two-body potential. This result in 2 dimensions corresponds to the famous Lee–Huang–Yang formula in 3 dimensions. The proof is valid for essentially all positive potentials with finite scattering length, in particular, it covers the crucial case of the hard core potential.

OriginalsprogEngelsk
Artikelnummer59
TidsskriftCommunications in Mathematical Physics
Vol/bind405
Udgave nummer3
Antal sider104
ISSN0010-3616
DOI
StatusUdgivet - 2024

Bibliografisk note

Funding Information:
Open access funding provided by Copenhagen University. This research was partially supported by the grant 0135-00166B from the Independent Research Fund Denmark. SF and LM were partially funded by the European Union. Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them.

Publisher Copyright:
© The Author(s) 2024.

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