Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896299 | Physica D: Nonlinear Phenomena | 2011 | 4 Pages |
Abstract
This paper generalizes some known solitary solutions of a time-dependent Hamiltonian in two ways: The time-dependent field can be an elliptic function, and the time evolution is obtained for a complete set of basis vectors. The latter makes it feasible to consider arbitrary initial conditions. The former makes it possible to observe a beating caused by the non-harmonicity of the driving field.
Research highlights► Solitary solutions for a three-level system with periodic external fields. ► Anharmonic external fields involving Jacobi’s elliptic functions. ► Full set of special solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jan Naudts, Winny O’Kelly de Galway,