Composite-Field Goldstone States and Higgs Mechanism in Dilute Bose Gases

Abstract

We show that a composite-field (diatom) Goldstone state is expected in a dilute Bose gas for temperatures between the Bose gas critical temperature where the atom Bose-Einstein condensate appears and the temperature where superfluidity sets in. The presence of superfluidity is tied to the existence of a U(1) charge-two diatom condensate in the system. By promoting the global U(1) symmetry of the theory to a gauge symmetry, we find that the mass of the gauge particle generated through the Anderson-Higgs mechanism is related to the superfluid density via the Meissner effect and the superfluid density is related to the square of the anomalous density in the Bose system.

5 pages, 2 figures

References in corpus (3)

• Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
• Non-perturbative predictions for cold atom Bose gases with tunable interactions
• The Josephson relation for the superfluid density in the BCS-BEC crossover

Cited by in corpus (8)

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• 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
• Leading-Order Auxiliary Field Theory of the Bose-Hubbard Model
• Higgs-like Excitations of Cold Atom System with Spin-orbit Coupling
• 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
• Critical temperature of trapped interacting bosons from large-N based theories