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.

24 pages, 6 figures

References in corpus (8)

• Diamondoid Molecules
• Semiclassical Approximations in Phase Space with Coherent States
• Non-Markovian Dissipative Semiclassical Dynamics
• Dynamics of a Bose-Einstein condensate in a symmetric triple-well trap
• Semiclassical Propagation of Wavepackets with Real and Complex Trajectories
• Phase Transition, Entanglement and Squeezing in a Triple-Well Condensate
• Coherent State Path Integrals in the Weyl Representation
• Semiclassical propagator for SU(n) coherent states

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• Semiclassical quantisation for a bosonic atom-molecule conversion system
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