Dynamics of a Bose–Einstein condensate in an anharmonic trap

Abstract

We present a theoretical model to describe the dynamics of Bose-Einstein condensates in anharmonic trapping potentials. To first approximation the center-of-mass motion is separated from the internal condensate dynamics and the problem is reduced to the well known scaling solutions for the Thomas-Fermi radii. We discuss the validity of this approach and analyze the model for an anharmonic waveguide geometry which was recently realized in an experiment [1].

Perspectives of ultracold atoms trapped in magnetic micro potentials

“…Consequently, the aspect ratio of the condensate (Fig.7.b) exhibits drastic temporal fluctuations with a nontrivial frequency spectrum (Fig.7.c). The observations can be perfectly simulated with the Gross-Pitaevskii equation and are thus well understood [38]. In our context here, it is important to note that the oscillations prevail even when, at the end of the oscillation period the number of atoms has dropped sufficiently to enter the quasi 1D regime.…”

Rotational States of Bose Gases with Attractive Interactions in Anharmonic Traps

“…In order to be able to cover larger parameter spaces, we must consider a variational solution of the equations of motion (11)(12)(13)(14). We choose trial functions with Gaussian envelope for the CM and condensate wave functions:…”

Dynamic of cold-atom tips in anharmonic potentials

“…If the cold-atom tip is cooled further, a Bose-Einstein condensate is created and the tip shows quantum behavior [ 38,39]. In this case the quantum tip behaves like a superfluid and is typically described by a quantum mechanical wave function The tip dynamic is then found by solving the corresponding Schroedinger equation.…”