R. Seiringer. Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)
Abstract
We discuss bounds on the free energy of homogeneous Bose and Fermi gases at non-zero temperature. In the dilute regime, the leading order correction compared to an ideal quantum gas depends on the particle interaction only through the scattering length. Moreover, in the Bose case it depends non-trivially on temperature through the critical density for Bose-Einstein condensation. Some of the key ingredients in the proof are the use of coherent states to deal with the condensation, as well as new correlation estimates relying on the monotonicity of the relative entropy under partial traces.
%0 Book Section
%1 statphys23_0124
%A Seiringer, R.
%B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics
%C Genova, Italy
%D 2007
%E Pietronero, Luciano
%E Loreto, Vittorio
%E Zapperi, Stefano
%K bose-einstein condensation dilute gas length quantum scattering statphys23 topic-8
%T The Free Energy of Dilute Quantum Gases
%U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=124
%X We discuss bounds on the free energy of homogeneous Bose and Fermi gases at non-zero temperature. In the dilute regime, the leading order correction compared to an ideal quantum gas depends on the particle interaction only through the scattering length. Moreover, in the Bose case it depends non-trivially on temperature through the critical density for Bose-Einstein condensation. Some of the key ingredients in the proof are the use of coherent states to deal with the condensation, as well as new correlation estimates relying on the monotonicity of the relative entropy under partial traces.
@incollection{statphys23_0124,
abstract = {We discuss bounds on the free energy of homogeneous Bose and Fermi gases at non-zero temperature. In the dilute regime, the leading order correction compared to an ideal quantum gas depends on the particle interaction only through the scattering length. Moreover, in the Bose case it depends non-trivially on temperature through the critical density for Bose-Einstein condensation. Some of the key ingredients in the proof are the use of coherent states to deal with the condensation, as well as new correlation estimates relying on the monotonicity of the relative entropy under partial traces.},
added-at = {2007-06-20T10:16:09.000+0200},
address = {Genova, Italy},
author = {Seiringer, R.},
biburl = {https://www.bibsonomy.org/bibtex/2753b4700ce5ab9d95a5a3c6811dfe3db/statphys23},
booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics},
editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano},
interhash = {91cb4a4dd48beeef506549c78fa09e4b},
intrahash = {753b4700ce5ab9d95a5a3c6811dfe3db},
keywords = {bose-einstein condensation dilute gas length quantum scattering statphys23 topic-8},
month = {9-13 July},
timestamp = {2007-06-20T10:16:12.000+0200},
title = {The Free Energy of Dilute Quantum Gases},
url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=124},
year = 2007
}