Non-perturbative predictions for cold atom Bose gases with tunable interactions

Details Non-perturbative predictions for cold atom Bose gases with tunable interactions Non-perturbative predictions for cold atom Bose gases with tunable interactions

2010-11-08

arxiv.org/abs/1011.1886v1

Phys.Rev.Lett.105:240402,2010

Physics

Condensed Matter

Quantum Gases

3 figures

Scientific paper

10.1103/PhysRevLett.105.240402

We derive a theoretical description for dilute Bose gases as a loop expansion in terms of composite-field propagators by rewriting the Lagrangian in terms of auxiliary fields related to the normal and anomalous densities. We demonstrate that already in leading order this non-perturbative approach describes a large interval of coupling-constant values, satisfies Goldstone's theorem, yields a Bose-Einstein transition that is second-order, and is consistent with the critical temperature predicted in the weak-coupling limit by the next-to-leading order large-N expansion.

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