REVIEW 3 cited by
Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Upper Bound for the Free Energy of Dilute Bose Gases at Low Temperature
read the original abstract
We consider a Bose gas at density $\rho > 0$, interacting through a repulsive potential $V \in L^2 (\mathbb{R}^3)$ with scattering length $\mathfrak{a} > 0$. We prove an upper bound for the free energy of the system, valid at low temperature $T \lesssim \rho \mathfrak{a}$. Combined with the recent lower bound obtained in \cite{HabHaiNamSeiTri-23}, our estimate resolves the free energy per unit volume up to and including the Lee--Huang--Yang order $\mathfrak{a} \rho^2 (\rho \mathfrak{a}^3)^{1/2}$.
Forward citations
Cited by 3 Pith papers
-
Ground State Energy of Dilute Fermi Gases in 1D
Proves that the ground state energy of dilute 1D spin-J Fermi gases with repulsive interactions asymptotes to the ground state energy of a corresponding spin chain.
-
A second order upper bound to the free energy of the two dimensional Bose gas
An explicit upper bound to the free energy density of the dilute 2D Bose gas below the BKT transition is obtained via Bogoliubov theory with quasiparticles obeying dispersion sqrt(p^4 + 8 pi rho delta p^2) where delta...
-
Kinetic localization via Poincar\'e-type inequalities and applications to the condensation of Bose gases
Simplified localization via Poincaré-type inequalities provides a new derivation of Bose-Einstein condensation for dilute Bose gases beyond the Gross-Pitaevskii scaling regime.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.