Pith. sign in

REVIEW 6 cited by

The free energy of dilute Bose gases at low temperatures

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

arxiv 2304.02405 v2 pith:6OVWNKQL submitted 2023-04-05 math-ph math.MP

The free energy of dilute Bose gases at low temperatures

classification math-ph math.MP
keywords energybosecorrectionfreelee--huang--yangordertemperaturesbound
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

We consider a low density Bose gas interacting through a repulsive potential in the thermodynamic limit. We justify, as a rigorous lower bound, a Lee--Huang--Yang type formula for the free energy at suitably low temperatures, where the modified excitation spectrum leads to a second order correction of the same order as the Lee--Huang--Yang correction to the ground state energy.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Ground State Energy of Dilute Fermi Gases in 1D

    math-ph 2025-08 unverdicted novelty 8.0

    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.

  2. On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases

    math-ph 2026-07 unverdicted novelty 6.0

    Removes radiality and compact support assumptions on the interaction potential while proving BEC and Bogoliubov spectrum convergence for the 3D torus Bose gas in the Gross-Pitaevskii regime.

  3. A second order upper bound to the free energy of the two dimensional Bose gas

    math-ph 2026-04 unverdicted novelty 6.0

    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...

  4. Propagation of Condensation via Neumann Localization in the Dilute Bose Gas

    math-ph 2026-03 unverdicted novelty 6.0

    A new Neumann localization inequality with spectral gap is proven via overlapping subcubes and used to propagate strong Bose-Einstein condensation estimates in the dilute gas to larger length scales.

  5. Kinetic localization via Poincar\'e-type inequalities and applications to the condensation of Bose gases

    math-ph 2025-10 unverdicted novelty 5.0

    Simplified localization via Poincaré-type inequalities provides a new derivation of Bose-Einstein condensation for dilute Bose gases beyond the Gross-Pitaevskii scaling regime.

  6. A Note on the Construction of Trial States for the Dilute Bose Gas

    math-ph 2026-05 unverdicted novelty 2.0

    A review and simplified derivation of the Lee-Huang-Yang correction as an upper bound on the ground-state energy of the dilute Bose gas via local particle-number cutoff trial states.