Bose-Einstein condensation in the canonical ensemble

Abstract

Large-volume, high-temperature Bose-Einstein condensation is illustrated for a relativistic O(2)-invariant scalar field with fixed charge using the canonical ensemble. The standard, grand canonical results are reproduced for the infinite-volume limit. Finite-volume corrections are calculated in the canonical ensemble and the results are found to differ from the finite-volume grand canonical approximation in a consistent qualitative way.

10 pages, 2 figures, replacement with extra references

References in corpus (5)

• Theory of Bose-Einstein condensation in trapped gases
• Condensate fluctuations of a trapped, ideal Bose gas
• Can We Distinguish Between the Grand Canonical and the Canonical Ensemble in a BEC Experiment?
• Finite Number and Finite Size Effects in Relativistic Bose-Einstein Condensation
• Bose-Einstein condensation as symmetry breaking in compact curved spacetimes

Cited by in corpus (6)

• n-Particle irreducible effective action techniques for gauge theories
• Theory of Non-Interacting Fermions and Bosons in the Canonical Ensemble
• Progress in nonequilibrium quantum field theory III
• Electron-electron interaction in a MCS model with a purely spacelike Lorentz-violating background
• One-body reduced density-matrix functional theory for the canonical ensemble
• A projected complex Langevin sampling method for bosons in the canonical and microcanonical ensembles