Number-Conserving Approaches for Atomic Bose-Einstein Condensates: An Overview

Abstract

Assuming the existence of a Bose-Einstein condensate composed of the majority of a sample of ultracold, trapped atoms, perturbative treatments to incorporate the non-condensate fraction are common. Here we describe how this may be carried out in an explicitly number-conserving fashion, providing a common framework for the work of various authors; we also briefly consider issues of implementation, validity and application of such methods.

Unedited version of chapter to appear in Quantum Gases: Finite Temperature and Non-Equilibrium Dynamics (Vol. 1 Cold Atoms Series). N.P. Proukakis, S.A. Gardiner, M.J. Davis and M.H. Szymanska, eds. Imperial College Press, London (in press). See http://www.icpress.co.uk/physics/p817.html

References in corpus (4)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Dynamical instability in kicked Bose-Einstein condensates: Bogoliubov resonances
• Nonlinear resonances in δ-kicked Bose-Einstein Condensates

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• Hyperbolic Bloch equations: atom-cluster kinetics of an interacting Bose gas
• Second-order, number-conserving description of non-equilibrium dynamics in finite-temperature Bose-Einstein condensates
• Excitation picture of an interacting Bose gas
• Particle-Number-Conserving Bogoliubov Approximation for Bose-Einstein Condensates Using Extended Catalytic States
• Superfluid-insulator transition in weakly interacting disordered Bose gases: a kernel polynomial approach
• Bose-Einstein condensation in a minimal inhomogeneous system
• Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group