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arXiv · 1103.5697

Initial value representation for the SU(n) semiclassical propagator

Thiago F. Viscondi·Marcus A. M. de Aguiar
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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.

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Thiago F. Viscondi, Marcus A. M. de Aguiar. 2011-03-29. Initial value representation for the SU(n) semiclassical propagator. https://doi.org/10.1063/1.3601344

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