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Exact results on the two-particle Green's function of a Bose-Einstein condensate

Starting from the Dyson-Beliaev and generalized Gross-Pitaevskii equations with an extra nonlocal potential, we derive an exact expression of the two-particle Green's function K for an interacting Bose-Einstein condensate in terms of unambiguously defined self-energies and vertices. The formula can be a convenient basis for approximate calculations of K. It also tells us that poles of K are not shared with (i.e. shifted from) those of the single-particle Green's function, contrary to the conclusion of previous studies.

preprint2010arXivOpen access
Takafumi Kita
cond-mat.stat-mechcond-mat.supr-connucl-thcond-mat.quant-gas
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Takafumi Kita

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