Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas
arXiv:1510.07333 · doi:10.1016/j.physleta.2014.10.052
Abstract
We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disordered phase across an entire critical region continuously. We derive the exact fundamental equations for a condensate wave function and the Green functions, which are valid both inside and outside the critical region. They are reduced to the usual Gross-Pitaevskii and Beliaev-Popov equations in a low-temperature limit outside the critical region. The theory is readily extendable to other phase transitions, in particular, in the physics of condensed matter and quantum fields.
5 pages
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Cited by in corpus (4)
- Bose-Einstein condensate fluctuations versus an interparticle interaction
- Microscopic theory of phase transitions in a critical region
- Measurement-enhanced determination of BEC phase transitions
- Quantum supremacy of the many-body fluctuations in the occupations of the excited particle states in a Bose-Einstein-condensed gas