Suppression of Coherent Mode Formation in Central-Spin Systems Coupled to Spin Baths: A Quantitative Dephasing Crossover Criterion
Ali Bourizk
Abstract
Changes in this version (v3.1). This version supersedes Version 3.0 deposited under DOI 10.5281/zenodo.23484399. It restores the full author metadata (Ali Bourizk) in the LaTeX/PDF files for the public Zenodo record, adds the complete numerical validation script (generate_figures.py) and the BibTeX database (references.bib) to the upload package for full reproducibility, adds a comprehensive README.md file, and includes the necessary figures. The abstract has been slightly updated to accurately reflect the use of N=2 bath spins in the exact diagonalization. The core physical derivations and analytical results remain strictly unchanged and locked from v3.0.