Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases

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Date
2019-06
Dewey
Sciences connexes (physique, astrophysique)
Sujet
Gibbs states; Classical field theory; Bose gas; Bose-Einstein condensate; Entropy; Correlation energy
Journal issue
Journal of Mathematical Physics
Volume
60
Number
6
Publication date
06-2019
Article pages
13
Publisher
American Institute of Physics
DOI
http://dx.doi.org/10.1063/1.5094331
URI
https://basepub.dauphine.fr/handle/123456789/19363
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Author
Lewin, Mathieu
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Nam, Phan Thành
172355 Institut für Soziologie Ludwig-Maximilians-Universität München [LMU]
Rougerie, Nicolas
688 Laboratoire de physique et modélisation des milieux condensés [LPM2C]
Type
Article accepté pour publication ou publié
Abstract (EN)
We review our recent result on the rigorous derivation of the renormalized Gibbs measure from the many-body Gibbs state in 1D and 2D. The many-body renormalization is accomplished by simply tuning the chemical potential in the grand-canonical ensemble, which is analogous to the Wick ordering in the classical field theory.