108 citations · 221 across the 14 of their papers we have counts for
4 papers · 1 filter
Parametric Quantum Resonances for Bose-Einstein Condensates
P. G. Kevrekidis, A. R. Bishop, K. Ø. Rasmussen
We generalize recent work on parametric resonances for nonlinear Schr{ö}dinger (NLS) type equations to the case of three dimensional Bose-Einstein condensates at zero temperatures.…
Dynamics of Vortices in Two-Dimensional Magnets
F. G. Mertens, A. R. Bishop
Theories, simulations and experiments on vortex dynamics in quasi-two-dimensional magnetic materials are reviewed. These materials can be modelled by the classical two-dimensional…
Hierarchy of equations of motion for nonlinear coherent excitations applied to magnetic vortices
F. G. Mertens, H. -J. Schnitzer, A. R. Bishop
Starting from a travelling wave ansatz we show successively that the shape of a nonlinear excitation generally depends also on the 1st, 2nd, ... time derivative of the position X o…
Electron-Phonon Driven Spin Frustration in Multi-Band Hubbard Models: MX Chains and Oxide Superconductors
J. Tinka Gammel, K. Yonemitsu A. Saxena, A. R. Bishop +1
We discuss the consequences of both electron-phonon and electron-electron couplings in 1D and 2D multi-band (Peierls-Hubbard) models. After briefly discussing various analytic limi…