Initial value representation for the SU(n) semiclassical propagator

Details Initial value representation for the SU(n) semiclassical propagator Initial value representation for the SU(n) semiclassical propagator

2011-03-29

arxiv.org/abs/1103.5697v1

J. Chem. Phys. 134, 234105 (2011)

Physics

Quantum Physics

24 pages, 6 figures

Scientific paper

10.1063/1.3601344

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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