Work

Second Order Expansion of Gibbs State Reduced Density Matrices in the Gross–Pitaevskii Regime

Year: 2024

Type: article

Abstract: . We consider a translation-invariant system of [Formula: see text] bosons in [Formula: see text] that interact through a repulsive two-body potential with scattering length of order [Formula: see text] in the limit [Formula: see text]. We derive second order expressions for the one- and two-particle reduced density matrix matrices of the Gibbs state at fixed positive temperatures, thus obtaining a justification of Bogoliubov’s prediction on the fluctuations around the condensate.

Source: SIAM Journal on Mathematical Analysis

DOI: 10.1137/23m1608215

Authors: Christian Brennecke, Jinyeop Lee, Phan Thành Nam

Institutions: University of Bonn, Ludwig-Maximilians-Universität München

Language: English

Topic: Cold Atom Physics and Bose-Einstein Condensates

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, H2020 European Research Council

Awards: EXC 2047: Hausdorff Center for Mathematics (HCM), G2848695732, Mathematik von VielteilchenQuantensystemen