Effective Action and Field Equation for BEC from Weak to Strong Couplings

Abstract

While free and weakly interacting nonrelativistic particles are described by a Gross-Pitaevskii equation, which is a nonlinear self-interacting Schrödinger equation, the phenomena in the strong- coupling limit are governed by an effective action that is extremized by a double-fractional generalization of this equation. Its particle orbits perform Lèvy walks rather than Gaussian random walks.

References in corpus (3)

• Cold Bosons in Optical Lattices
• Fractional Quantum Field Theory, Path Integral, and Stochastic Differential Equation for Strongly Interacting Many-Particle Systems
• Converting Divergent Weak-Coupling into Exponentially Fast Convergent Strong-Coupling Expansions

Cited by in corpus (3)

• Green function of the double fractional Fokker-Planck equation: Path integral and stochastic differential equations
• Mean-field dynamics of a Bose-Hubbard chain coupled to a non-Markovian environment
• Bosonic binary mixtures with Josephson-type interactions