Hyperspherical lowest-order constrained-variational approximation to resonant Bose-Einstein condensates

Hyperspherical lowest-order constrained-variational approximation to resonant Bose-Einstein condensates

We study the ground-state properties of a system of N harmonically trapped bosons of mass m interacting with two-body contact interactions, from small to large scattering lengths. This is accomplished in a hyperspherical coordinate system that is flexible enough to describe both the overall scale of the gas and two-body correlations. By adapting the lowest-order constrained-variational method, ...

Nonlinear resonant transport of Bose-Einstein condensates.

The coherent flow of a Bose-Einstein condensate through a quantum dot in a magnetic waveguide is studied. By the numerical integration of the time-dependent Gross-Pitaevskii equation in the presence of a source term, we simulate the propagation process of the condensate through a double barrier potential in the waveguide. We find that resonant transport is suppressed in interaction-induced regi...

Boolean Bose-einstein Condensates Bose-einstein Condensates

Burris, Stanley. ‘‘George Boole.’’ In The Stanford Encyclopedia of Philosophy, edited by Edward N. Zalta. 2010. Available from http://plato.stanford.edu/archives/sum2010/entries/boole/ Krantz, Steven G. Discrete Mathematics Demystified. New York: McGraw-Hill, 2009. Nahin, Paul J. The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age. Princeton, NJ: Princ...

Resonant tunneling of Bose–Einstein condensates in optical lattices

In this paper, we present the theoretical as well as experimental results on resonantly enhanced tunneling of Bose–Einstein condensates in optical lattices both in the linear case and for small nonlinearities. Our results demonstrate the usefulness of condensates in optical lattices for simulating Hamiltonians originally used for describing solid-state phenomena. 6 Author to whom any correspond...

Variational studies of Bose-Einstein condensates with embedded vorticity