Initial value representation for the SU(n) semiclassical propagator

Journal Article · Tue Jun 21 04:00:00 EDT 2011 · Journal of Chemical Physics

DOI:https://doi.org/10.1063/1.3601344· OSTI ID:21560306

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

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1. Instituto de Fisica 'Gleb Wataghin', Universidade Estadual de Campinas, 13083-859, Campinas, SP (Brazil)

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.

• OSTI ID: 21560306
• Journal Information: Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 23 Vol. 134; ISSN JCPSA6; ISSN 0021-9606
• Country of Publication: United States
• Language: English

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCURACY
ANNIHILATION OPERATORS
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
BOUNDARY CONDITIONS
CALCULATION METHODS
EFFICIENCY
EIGENSTATES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTICLES
PHASE SPACE
PROPAGATOR
QUANTUM OPERATORS
SEMICLASSICAL APPROXIMATION
SPACE
TRAJECTORIES