---
res:
bibo_abstract:
- We prove exponential decay of the off-diagonal correlation function in the two-dimensional
homogeneous Bose gas when a2 ρ is small and the temperature T satisfies T>
4πρ ln | ln (a2 ρ) |. Here, a is the scattering length of the repulsive interaction
potential and ρ is the density. To the leading order in a2 ρ, this bound agrees
with the expected critical temperature for superfluidity. In the three-dimensional
Bose gas, exponential decay is proved when T- Tc (0) Tc (0) >5 a ρ1/3, where
Tc (0) is the critical temperature of the ideal gas. While this condition is not
expected to be sharp, it gives a rigorous upper bound on the critical temperature
for Bose-Einstein condensation.@eng
bibo_authorlist:
- foaf_Person:
foaf_givenName: Robert
foaf_name: Robert Seiringer
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
orcid: 0000-0002-6781-0521
- foaf_Person:
foaf_givenName: Daniel
foaf_name: Ueltschi, Daniel
foaf_surname: Ueltschi
bibo_doi: 10.1103/PhysRevB.80.014502
bibo_issue: '1'
bibo_volume: 80
dct_date: 2009^xs_gYear
dct_publisher: American Physical Society@
dct_title: Rigorous upper bound on the critical temperature of dilute Bose gases@
...