title: Initial value representation for the SU(n) semiclassical propagator.
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.
authors.affiliation: Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-859, Campinas, SP, Brazil. viscondi@ifi.unicamp.br
authors.forename: Thiago F
authors.initials: TF
authors.lastname: Viscondi
authors.forename: Marcus A M
authors.initials: MA
authors.lastname: de Aguiar