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Basics of Bose-Einstein Condensation

Statistical Mechanics 2015-05-28 v1 Quantum Gases High Energy Physics - Phenomenology Quantum Physics

Abstract

The review is devoted to the elucidation of the basic problems arising in the theoretical investigation of systems with Bose-Einstein condensate. Understanding these challenging problems is necessary for the correct description of Bose-condensed systems. The principal problems considered in the review are as follows: (i) What is the relation between Bose-Einstein condensation and global gauge symmetry breaking? (ii) How to resolve the Hohenberg-Martin dilemma of conserving versus gapless theories? (iii) How to describe Bose-condensed systems in strong spatially random potentials? (iv) Whether thermodynamically anomalous fluctuations in Bose systems are admissible? (v) How to create nonground-state condensates? Detailed answers to these questions are given in the review. As examples of nonequilibrium condensates, three cases are described: coherent modes, turbulent superfluids, and heterophase fluids.

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Cite

@article{arxiv.1105.4992,
  title  = {Basics of Bose-Einstein Condensation},
  author = {V. I. Yukalov},
  journal= {arXiv preprint arXiv:1105.4992},
  year   = {2015}
}

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Review article

R2 v1 2026-06-21T18:12:23.887Z