Pulsed Quantum Tunneling with Matter Waves
Abstract
In this report we investigate the macroscopic quantum tunneling of a Bose condensate falling under gravity and scattering on a Gaussian barrier that could model a mirror of far-detuned sheet of light. We analyze the effect of the inter-atomic interaction and that of a transverse confining potential. We show that the quantum tunneling can be quasi-periodic and in this way one could generate coherent Bose condensed atomic pulses. In the second part of the report, we discuss an effective 1D time-dependent non-polynomial nonlinear Schrodinger equation (NPSE), which describes cigar-shaped condensates. NPSE is obtained from the 3D Gross-Pitaevskii equation by using a variational approach. We find that NPSE gives much more accurate results than all other effective 1D equations recently proposed.
Cite
@article{arxiv.cond-mat/0106493,
title = {Pulsed Quantum Tunneling with Matter Waves},
author = {Luca Salasnich},
journal= {arXiv preprint arXiv:cond-mat/0106493},
year = {2007}
}
Comments
9 pages, 5 figures, report for the X International Laser Physics Workshop, Seminar on Bose-Einstein Condensation of Trapped Atoms, Moscow, July 3-7, 2001