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

Mathieu Lewin; Phan Thành Nam; Nicolas Rougerie

doi:10.1063/1.5094331

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

Mathieu Lewin
, Phan Thành Nam
, Nicolas Rougerie

Université Paris Dauphine
Universität München
LTHE (UMR 5564 CNRS/IRD/Université de Grenoble)

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	061901
journal	Journal of Mathematical Physics
Volume	60
Numéro de publication	6
Les DOIs	https://doi.org/10.1063/1.5094331
état	Publié - 1 juin 2019
Modification externe	Oui

Accès au document

10.1063/1.5094331

Autres fichiers et liens

Lien vers la publication dans Scopus

Contient cette citation

@article{631133f4f63b458caea1ca3c2d81ba92,

title = "Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases",

abstract = "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.",

author = "Mathieu Lewin and Nam, \{Phan Th{\`a}nh\} and Nicolas Rougerie",

note = "Publisher Copyright: {\textcopyright} 2019 Author(s).",

year = "2019",

month = jun,

day = "1",

doi = "10.1063/1.5094331",

language = "English",

volume = "60",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

number = "6",

}

TY - JOUR

T1 - Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases

AU - Lewin, Mathieu

AU - Nam, Phan Thành

AU - Rougerie, Nicolas

PY - 2019/6/1

Y1 - 2019/6/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85068122976

U2 - 10.1063/1.5094331

DO - 10.1063/1.5094331

M3 - Article

AN - SCOPUS:85068122976

SN - 0022-2488

VL - 60

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 6

M1 - 061901

ER -

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

Résumé

Accès au document

Autres fichiers et liens

Empreinte digitale

Contient cette citation