Article ID Journal Published Year Pages File Type
1896299 Physica D: Nonlinear Phenomena 2011 4 Pages PDF
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
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