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

Abstract

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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Cited by in corpus (4)

• Large-N approximation for single- and two-component dilute Bose gases
• Quench Dynamics and Emergence of Phase Separation in Two-Component Atomic Bose Gases at Zero Temperature and above the BEC Critical Temperature
• Equation of state and contact of a strongly interacting Bose gas in the normal state
• Auxiliary Field Loop Expansion for the Effective Action for Stochastic Partial Differential Equations I