Semiclassical propagator for SU(n) coherent states

Abstract

We present a detailed derivation of the semiclassical propagator in the SU(n) coherent state representation. In order to provide support for immediate physical applications, we restrict this work to the fully symmetric irreducible representations, which are suitable for the treatment of bosonic dynamics in n modes, considering systems with conservation of total particle number. The derivation described here can be easily extended to other classes of coherent states, thus representing an alternative approach to previously published methods.

16 pages

References in corpus (6)

• Semiclassical Approximations in Phase Space with Coherent States
• Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
• Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
• Semiclassical coherent state propagator for systems with spin
• Semiclassical Propagation of Wavepackets with Real and Complex Trajectories
• Coherent state approach to the cross collisional effects in the population dynamics of a two-mode Bose-Einstein condensate

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• Beatification: Flattening the Poisson Bracket for Two-Dimensional Fluid and Plasma Theories
• Saving the Coherent State Path Integral
• Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems
• Representations of quantum superalgebra Uq[gl(2|1)] in a coherent state basis and generalization
• Entanglement dynamics of spins using a few complex trajectories