Dimensional crossover for the beyond-mean-field correction in Bose gases
Abstract
We present a detailed beyond-mean-field analysis of a weakly interacting Bose gas in the crossover from three to low dimensions. We find an analytical solution for the energy and provide a clear qualitative picture of the crossover in the case of a box potential with periodic boundary conditions. We show that the leading contribution of the confinement-induced resonance is of beyond-mean-field order and calculate the leading corrections in the three- and low-dimensional limits. We also characterize the crossover for harmonic potentials in a model system with particularly chosen short- and long-range interactions and show the limitations of the local-density approximation. Our analysis is applicable to Bose-Bose mixtures and gives a starting point for developing the beyond-mean-field theory in inhomogeneous systems with long-range interactions such as dipolar particles or Rydberg-dressed atoms.
Keywords
Cite
@article{arxiv.1806.01784,
title = {Dimensional crossover for the beyond-mean-field correction in Bose gases},
author = {Tobias Ilg and Jan Kumlin and Luis Santos and Dmitry S. Petrov and Hans Peter Büchler},
journal= {arXiv preprint arXiv:1806.01784},
year = {2018}
}
Comments
5 pages and supplemental material, revised treatment of the harmonic confinement