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res:
bibo_abstract:
- A lower bound is derived on the free energy (per unit volume) of a homogeneous
Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1,
where a denotes the scattering length of the pair-interaction potential, our bound
differs to leading order from the expression for non-interacting particles by
the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein
condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the
positive part. Our bound is uniform in the temperature up to temperatures of the
order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients
in the proof is the use of coherent states to extend the method introduced in
[17] for estimating correlations to temperatures below the critical one.@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
bibo_doi: 10.1007/s00220-008-0428-2
bibo_issue: '3'
bibo_volume: 279
dct_date: 2008^xs_gYear
dct_publisher: Springer@
dct_title: 'Free energy of a dilute Bose gas: Lower bound@'
...