Efficient description of Bose-Einstein condensates in time-dependent rotating traps
Abstract
Quantum sensors based on matter-wave interferometry are promising candidates for high-precision gravimetry and inertial sensing in space. The favorable source for the coherent matter waves in these devices are Bose-Einstein condensates. A reliable prediction of their dynamics, which is governed by the Gross-Pitaevskii equation, requires suitable analytical and numerical methods which take into account the center-of-mass motion of the condensate, its rotation and its spatial expansion by many orders of magnitude. In this chapter, we present an efficient way to study their dynamics in time-dependent rotating traps that meet this objective. Both, an approximate analytical solution for condensates in the Thomas-Fermi regime and dedicated numerical simulations on a variable adapted grid are discussed. We contrast and relate our approach to previous alternative methods and provide further results, such as analytical expressions for the one- and two-dimensional spatial density distributions and the momentum distribution in the long-time limit that are of immediate interest to experimentalists working in this field of research.
Cite
@article{arxiv.1701.06789,
title = {Efficient description of Bose-Einstein condensates in time-dependent rotating traps},
author = {Matthias Meister and Stefan Arnold and Daniela Moll and Michael Eckart and Endre Kajari and Maxim A. Efremov and Reinhold Walser and Wolfgang P. Schleich},
journal= {arXiv preprint arXiv:1701.06789},
year = {2017}
}
Comments
49 pages, 7 figures, preprint submitted to Advances in Atomic, Molecular, and Optical Physics Volume 66