Exact results on the two-particle Green's function of a Bose-Einstein condensate
Source: Phys. Rev. B 81, 214513 (2010); doi:10.1103/PhysRevB.81.214513
Published 14 June 2010
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
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
. It also tells us that poles of
are not shared with (i.e., shifted from) those of the single-particle Green's function, contrary to the conclusion of previous studies.
©2010 The American Physical Society
| History: | Received 2 March 2010; revised 1 May 2010; published 14 June 2010 |
| Permalink: |
http://link.aps.org/abstract/PRB/v81/e214513 |
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