Initial value representation for the SU(n) semiclassical propagator
Quantum Physics
2011-07-05 v1
Abstract
The semiclassical propagator in the representation of SU(n) coherent states is characterized by isolated classical trajectories subjected to boundary conditions in a doubled phase space. In this paper we recast this expression in terms of an integral over a set of initial-valued trajectories. These trajectories are monitored by a filter that collects only the appropriate contributions to the semiclassical approximation. This framework is suitable for the study of bosonic dynamics in n modes with fixed total number of particles. We exemplify the method for a Bose-Einstein condensate trapped in a triple-well potential, providing a detailed discussion on the accuracy and efficiency of the procedure.
Keywords
Cite
@article{arxiv.1103.5697,
title = {Initial value representation for the SU(n) semiclassical propagator},
author = {Thiago F. Viscondi and Marcus A. M. de Aguiar},
journal= {arXiv preprint arXiv:1103.5697},
year = {2011}
}
Comments
24 pages, 6 figures