Initial value representation for the SU(n) semiclassical propagator

Autor(es)

Viscondi, Thiago F. ^[1] ; de Aguiar, Marcus A. M. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Fis Gleb Wataghin, BR-13083859 Campinas, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Chemical Physics; v. 134, n. 23 JUN 21 2011.
• Citações Web of Science: 8

Resumo

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. (C) 2011 American Institute of Physics. {[}doi:10.1063/1.3601344] (AU)

• Processo FAPESP: 09/11032-5 - Dinâmica de populações e métodos semiclássicos
• Beneficiário: Marcus Aloizio Martinez de Aguiar
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 08/09491-9 - Limite semiclássico de sistemas quânticos finitos
• Beneficiário: Thiago de Freitas Viscondi
• Modalidade de apoio: Bolsas no Brasil - Doutorado