We use Jacobi coordinates and a momentum map/Lie-Poisson reduction to derive a system of equations for the three-vortex problem with no coordinate singularities and use it to …
We perform an asymptotic analysis of massive point-vortex dynamics in Bose--Einstein condensates in the small-mass limit $\varepsilon \to 0$. We define two distinguished manifolds …
We describe QGLAB, a new MATLAB package for analyzing partial differential equations on quantum graphs. The supplementary material contains additional examples and a complete …
We use Jacobi coordinates and Nambu brackets to derive a new representation of the motion of three vortices which, unlike all previous reductions, introduces no singularities into …
A complete English translation of Walter Gröbli's 1877 Ph.D. Thesis, together with some notes on the process. The work considers the dynamics of point vortices in a two-dimensional …
We use optimal control based on a Galerkin-truncated model to transfer a BEC from one well of a two-well potential to the other.
We use an optimal control framework to efficiently couple light into a fiber Bragg grating, improving a previously-reported 66 percent transmission to 88 percent.
We show via analytical perturbation theory that the leapfrogging vortex quartet becomes unstable exactly at the critical ratio $\alpha= \phi^{-2}.$
We address the problem of reshaping light in the Schrödinger optics regime from the perspective of optimal control theory. In technological applications, Schrödinger optics is …
Applications of Bose-Einstein Condensates (BEC) often require that the condensate be prepared in a specific complex state. Optimal control is a reliable framework to prepare such a …