Multiple-scale approach for the expansion scaling of superfluid quantum gases

Abstract

We present a general method, based on a multiple-scale approach, for deriving the perturbative solutions of the scaling equations governing the expansion of superfluid ultracold quantum gases released from elongated harmonic traps. We discuss how to treat the secular terms appearing in the usual naive expansion in the trap asymmetry parameter epsilon, and calculate the next-to-leading correction for the asymptotic aspect ratio, with significant improvement over the previous proposals.

References in corpus (2)

• Theory of ultracold Fermi gases
• Dissipative fluid dynamics for the dilute Fermi gas at unitarity: Free expansion and rotation

Cited by in corpus (4)

• Classical and quantum shortcuts to adiabaticity for scale-invariant driving
• Effective self-similar expansion for the Gross-Pitaevskii equation
• Effective self-similar expansion of a Bose-Einstein condensate: Free space vs confined geometries
• Effective Scaling Approach to Frictionless Quantum Quenches in Trapped Bose Gases