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

Lewin, Mathieu; Nam, Phan Thành; Rougerie, Nicolas (2019), Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases, Journal of Mathematical Physics, 60, 6, p. 13. 10.1063/1.5094331

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Type
Article accepté pour publication ou publié
Date
2019-06
Journal name
Journal of Mathematical Physics
Volume
60
Number
6
Publisher
American Institute of Physics
Pages
13
Publication identifier
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Author(s)
Lewin, Mathieu cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Nam, Phan Thành
Institut für Soziologie Ludwig-Maximilians-Universität München [LMU]
Rougerie, Nicolas
Laboratoire de physique et modélisation des milieux condensés [LPM2C]
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.
Subjects / Keywords
Gibbs states; Classical field theory; Bose gas; Bose-Einstein condensate; Entropy; Correlation energy