The ground state energy density of a dilute Bose gas is rigorously shown to be at most the Lee-Huang-Yang value plus Wu's logarithmic third-order correction, for potentials with positive scattering length.
Upper bound for the grand canonical free energy of the Bose gas in the Gross-Pitaevskii limit
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We consider a homogeneous Bose gas in the Gross-Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose-Einstein condensation in the ideal gas. Our main result is an upper bound for the grand canonical free energy in terms of two new contributions: (a) the free energy of the interacting condensate is given in terms of an effective theory describing its particle number fluctuations, (b) the free energy of the thermally excited particles equals that of a temperature-dependent Bogoliubov Hamiltonian.
citation-role summary
background 1
citation-polarity summary
fields
math-ph 1years
2025 1verdicts
ACCEPT 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Third Order Upper Bound for the Ground State Energy of the Dilute Bose Gas
The ground state energy density of a dilute Bose gas is rigorously shown to be at most the Lee-Huang-Yang value plus Wu's logarithmic third-order correction, for potentials with positive scattering length.