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 (24)

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• Covariant gaussian approximation in Ginzburg - Landau model
• Large-N approximation for single- and two-component dilute Bose gases
• Mass-imbalance induced structures of binary atomic mixtures in box potentials
• Analytical limits for cold atom Bose gases with tunable interactions
• Composite-Field Goldstone States and Higgs Mechanism in Dilute Bose Gases
• Mean-field description of pairing effects, BKT physics, and superfluidity in 2D Bose gases
• The Josephson relation for the superfluid density and the connection to the Goldstone theorem in dilute Bose atomic gasses
• Composite Bound States and Broken U(1) symmetry in the Chemical Master Equation derivation of the Gray-Scott Model
• Dissipative phase transition in systems with two-photon drive and nonlinear dissipation near the critical point
• Quench Dynamics and Emergence of Phase Separation in Two-Component Atomic Bose Gases at Zero Temperature and above the BEC Critical Temperature
• Addressing energy density functionals in the language of path-integrals I: Comparative study of diagrammatic techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Equation of state and contact of a strongly interacting Bose gas in the normal state
• Thermodynamics and structural transition of binary atomic Bose-Fermi mixtures in box or harmonic potentials: A path-integral study
• Leading-Order Auxiliary Field Theory of the Bose-Hubbard Model
• $1/N$-expansion for the critical temperature of the Bose gas
• Condensation and superfluidity of $SU(N)$ Bose gas
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Auxiliary Field Loop Expansion for the Effective Action for Stochastic Partial Differential Equations I
• Critical temperature of trapped interacting bosons from large-N based theories