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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	061901
Journal	Journal of Mathematical Physics
Volume	60
Issue number	6
DOIs	https://doi.org/10.1063/1.5094331
Publication status	Published - 1 Jun 2019
Externally published	Yes

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10.1063/1.5094331

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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",

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AU - Nam, Phan Thành

AU - Rougerie, Nicolas

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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.

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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

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