Bohr-Sommerfeld quantization of spin Hamiltonians
Anupam Garg, Michael Stone
TL;DR
This paper derives a Bohr-Sommerfeld quantization rule for spin systems, incorporating quantum corrections, applicable to various models, and demonstrates its high accuracy against exact solutions.
Contribution
It introduces a generalized Bohr-Sommerfeld quantization rule for spin Hamiltonians, including quantum corrections and compatibility with Kramers degeneracy.
Findings
The rule applies to both integer and half-integer spins.
It agrees well with exact results for tested models.
It respects Kramers degeneracy in time-reversal invariant systems.
Abstract
The Bohr-Sommerfeld rule for a spin system is obtained, including the first quantum corrections. The rule applies to both integer and half-integer spin, and respects Kramers degeneracy for time-reversal invariant systems. It is tested for various models, in particular the Lipkin-Meshkov-Glick model, and found to agree very well with exact results.
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