Quantum dynamics by the constrained adiabatic trajectory method
Quantum Physics
2011-03-21 v1 Chemical Physics
Computational Physics
Abstract
We develop the constrained adiabatic trajectory method (CATM) which allows one to solve the time-dependent Schr\"odinger equation constraining the dynamics to a single Floquet eigenstate, as if it were adiabatic. This constrained Floquet state (CFS) is determined from the Hamiltonian modified by an artificial time-dependent absorbing potential whose forms are derived according to the initial conditions. The main advantage of this technique for practical implementation is that the CFS is easy to determine even for large systems since its corresponding eigenvalue is well isolated from the others through its imaginary part. The properties and limitations of the CATM are explored through simple examples.
Cite
@article{arxiv.1103.3587,
title = {Quantum dynamics by the constrained adiabatic trajectory method},
author = {A. Leclerc and S. Guérin and G. Jolicard and J. P. Killingbeck},
journal= {arXiv preprint arXiv:1103.3587},
year = {2011}
}
Comments
12 pages