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Introduction to the Modern Theory of Bose-Einstein Condensation, Superfluidity, and Superconductivity
Phil Attard·November 12, 2025
cond-mat.stat-mechcond-mat.quant-gascond-mat.supr-conphysics.chem-phQuantum Physics
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Abstract
The modern theory of Bose-Einstein condensation, superfluidity, and superconductivity is reviewed. The thermodynamic principle for superfluid flow and the equation of motion for condensed bosons are given. Computer simulations of Lennard-Jones $^4$He give the $λ$-transition and the superfluid viscosity. The statistical mechanical theory of high-temperature superconductivity is presented. Critical comparison is made with older approaches, such as ground energy state condensation, irrotational superfluid flow, and the macroscopic wavefunction.