Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 13083-859, Campinas, SP, Brazil.
J Chem Phys. 2011 Jun 21;134(23):234105. doi: 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.
在 SU(n)相干态的表示中，半经典传播子的特点是具有孤立的经典轨迹，并在加倍的相空间中受到边界条件的约束。在本文中，我们将这个表达式重新表示为对一组初始值轨迹的积分。这些轨迹由一个滤波器来监测，滤波器只收集对半经典逼近的适当贡献。这个框架适用于研究具有固定粒子总数的 n 模玻色动力学。我们以被困在三势阱中的玻色-爱因斯坦凝聚体为例，详细讨论了该方法的准确性和效率。
