336 citations · 1.1k across the 12 of their papers we have counts for
5 papers · 1 filter
Tunable tunneling: An application of stationary states of Bose-Einstein condensates in traps of finite depth
L. D. Carr, K. W. Mahmud, W. P. Reinhardt
The fundamental question of how Bose-Einstein condensates tunnel into a barrier is addressed. The cubic nonlinear Schrodinger equation with a finite square well potential, which mo…
Stability of Repulsive Bose-Einstein Condensates in a Periodic Potential
J. C. Bronski, L. D. Carr, B. Deconinck +2
The cubic nonlinear Schrödinger equation with repulsive nonlinearity and an elliptic function potential models a quasi-one-dimensional repulsive dilute gas Bose-Einstein condensate…
Bose-Einstein condensates in standing waves: The cubic nonlinear Schroedinger equation with a periodic potential
Jared C. Bronski, Lincoln D. Carr, Bernard Deconinck +1
We present a new family of stationary solutions to the cubic nonlinear Schroedinger equation with a Jacobian elliptic function potential. In the limit of a sinusoidal potential our…
Stability of stationary states in the cubic nonlinear Schroedinger equation: applications to the Bose-Einstein condensate
Lincoln D. Carr, J. Nathan Kutz, William P. Reinhardt
The stability properties and perturbation-induced dynamics of the full set of stationary states of the nonlinear Schroedinger equation are investigated numerically in two physical…
Stationary solutions of the one-dimensional nonlinear Schroedinger equation: II. Case of attractive nonlinearity
Lincoln D. Carr, Charles W. Clark, William P. Reinhardt
All stationary solutions to the one-dimensional nonlinear Schroedinger equation under box or periodic boundary conditions are presented in analytic form for the case of attractive…