309 citations · 918 across the 17 of their papers we have counts for
17 papers
Universality Properties of Gaussian Quadrature, The Derivative Rule, and a Novel Approach to Stieltjes Inversion
William P. Reinhardt
Stieltjes, Perron, and Markov in analysis of the moment problem, for absolutely continuous measures, constructed the underlying measure as the discontinuity across the cut of a Cau…
Bright and Dark Solitons and Breathers in Strongly Repulsive Bose-Einstein Condensates
William P. Reinhardt, Indubala I. Satija, Bryce Robbins +1
Collisional dynamics of solitary matter waves of superfluid hard core bosons, consisting of dark and bright non-linear waves as well as supersonic periodic trains, reveals remarkab…
Computational Theory of a splitting BEC using a Generalized Wannier basis I: Theory and Statics
Douglas K. Faust, William P. Reinhardt
We investigate the behavior of a Bose-Einstein Condensate (BEC) under the influence of a central barrier as the particle number trends towards the thermodynamic limit. In order to…
Dynamical studies of macroscopic superposition states: Phase engineering of controlled entangled number states of Bose-Einstein condensate in multiple wells
Mary Ann Leung, Khan W. Mahmud, William P. Reinhardt
We provide a scheme for the generation of entangled number states of Bose-Einstein condensates in multiple wells with cyclic pairwise connectivity. The condensate ground state in a…
Time-dependent quantum many-body theory of identical bosons in a double well: Early time ballistic interferences of fragmented and number entangled states
David J. Masiello, William P. Reinhardt
A time-dependent multiconfigurational self-consistent field theory is presented to describe the many-body dynamics of a gas of identical bosonic atoms confined to an external trapp…
Symmetry-breaking self-consistent quantum many-body structure of high-lying macroscopic self-trapped and superposition states of the gaseous double-well BEC
David J. Masiello, William P. Reinhardt
The many-body structure of high-lying excited states, including macroscopic quantum superpositions, of the gaseous double-well BEC is presented within the context of a multiconfigu…