Semiclassical Husimi functions for spin systems

Abstract

We derive a semiclassical approximation to the Husimi functions of stationary states of spin systems. We rederive the Bohr-Sommerfeld quantization for spin by locating the poles of the corresponding local Green function. The residues correspond to the Husimi functions, which are seen to agree very well with exact calculations.

4 pages, 3 figures

References in corpus (4)

• Semiclassical Approximations in Phase Space with Coherent States
• Semiclassical theory of spin-orbit interactions using spin coherent states
• Bohr-Sommerfeld quantization of spin Hamiltonians
• On the extra phase correction to the semiclassical spin coherent-state propagator

Cited by in corpus (4)

• Semiclassical quantization of an N-particle Bose-Hubbard model
• Non-ergodic delocalized states for efficient population transfer within a narrow band of the energy landscape
• Entanglement dynamics for two interacting spins
• Semiclassical propagation of spin coherent states