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Identities and Many-Body Approaches in Bose-Einstein Condensates

Quantum Gases 2019-08-30 v2

Abstract

This paper discusses exact relations in Bose--Einstein condensates (BECs), starting from basic properties of an ideal Bose gas. In particular, focused on are the Hugenholtz--Pines relation, Nepomnyashchii--Nepomnyashchii identity, and identities for the density response function. After introducing these exact relations, a few approaches of many-body approximations are discussed, which satisfy the exact relations in BECs. This paper will serve as a bridge between theories on exact relations and those on approximations in BECs.

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Cite

@article{arxiv.1903.03284,
  title  = {Identities and Many-Body Approaches in Bose-Einstein Condensates},
  author = {Shohei Watabe},
  journal= {arXiv preprint arXiv:1903.03284},
  year   = {2019}
}

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10 pages