Bose-Einstein condensates in atomic gases: simple theoretical results

2001/05/03 by Yvan Castin · 1 citation
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensation #Fermi Gamma-ray Space Telescope #Gross–Pitaevskii equation #Physics #Pseudopotential #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Simple (philosophy) #Strong Light-Matter Interactions #Thermodynamics #Virial theorem #Wave function #cond-mat

paper · pdf · doi:10.1007/3-540-45338-5_1

146 pages, 17 figures, Lecture Notes of Les Houches Summer School 1999

arxiv created 2001/05/03 · openalex publication_date 2007/07/02 · arxiv updated 2022/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic interaction potential - finite temperature Hartree-Fock approximation - Gross-Pitaevskii equation for the condensate wavefunction - what we learn from a linearization of the Gross-Pitaevskii equation - Bogoliubov approach and thermodynamical stability - phase coherence properties of Bose-Einstein condensates - symmetry breaking description of condensates

Citations

• Quantum Monte Carlo Calculations for a Large Number of Bosons in a Harmonic Trap
• Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
• Collective Excitations of a Bose-Einstein Condensate in a Dilute Gas
• Relative phase of two Bose-Einstein condensates
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Optical Confinement of a Bose-Einstein Condensate
• Structure of a quantized vortex in boson systems
• Bose-Einstein Condensation of Atomic Hydrogen
• Collective and single-particle excitations of a trapped Bose gas
• Observation of Interference Between Two Bose Condensates
• Sound propagation in a cylindrical Bose-condensed gas
• Near-resonant spatial images of confined Bose-Einstein condensates in a 4-Dee magnetic bottle
• Bose-Einstein Condensation in a Gas of Sodium Atoms
• Vortex Formation in a Stirred Bose-Einstein Condensate
• Vortices in a Bose-Einstein Condensate

Cited by

• Re-Examining Bogoliubov's Theory of an Interacting Bose Gas