On the “strong-coupling” generalization of the Bogoliubov model

1998/11/30 by A. Yu. Cherny, A.Yu. Cherny, A.A. Shanenko +1 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Optical properties and cooling technologies in crystalline materials #Physics of Superconductivity and Magnetism #cond-mat.stat-mech

paper · pdf · doi:10.1016/s0375-9601(98)00835-4

published as Phys. Lett. A, vol. 250, No 1-3, pp. 170-176 (1998) · 6 pages, REVTEX, no figures

openalex publication_date 1998/12/01 · arxiv created 1999/04/14 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A generalized Bogoliubov model of the Bose gas in the ground state is proposed which properly takes into account both the long-range and short-range spatial boson correlations. It concerns equilibrium characteristics and operates with in-medium Schrodinger equations for the pair wave functions of bosons being the eigenfunctions of the second-order reduced density matrix. The approach developed provides reasonable results for a dilute Bose gas with arbitrary strong interaction between particles (the 'strong-coupling' case) and comes to the canonical Bogoliubov model in the weak-coupling regime.

Citations

• On the momentum distribution and condensate fraction in the Bose liquid

Cited by

• Self-consistent calculation of the coupling constant in the Gross-Pitaevskii equation
• Dilute Bose gas revised
• Short-range particle correlations in a dilute Bose gas

Related

• Towards Strong-Coupling Generalization of the Bogoliubov Model
• Nature of the Bogoliubov ground state of a weakly interacting Bose gas
• Bogoliubov spectrum of interacting Bose gases
• Derivation of the Bogoliubov Time Evolution for a Large Volume\n Mean-field Limit
• Bogoliubov Theory in the Gross-Pitaevskii Limit