The Decoherence of the Electron Spin Polarization and Meta-stability of $C^{13}$ Nuclei in Diamond

TL;DR

This paper investigates electron spin decoherence in diamond caused by interactions with $C^{13}$ nuclei, using advanced nonperturbative calculations to understand the dynamics and stability of entangled nuclear states.

Contribution

It introduces a nonperturbative method to analyze electron spin decoherence in diamond with entangled $C^{13}$ nuclei, extending understanding of hyperfine interactions and nuclear flip-flop processes.

Findings

Decoherence depends on initial polarization and magnetic field strength.

Numerical results align with exact solutions in fully polarized limits.

Meta-stability of $C^{13}$ flip-flops influenced by scaling effects.

Abstract

Following the recent successful formation and manipulation of entangled $C^{13}$ atoms on the surface of Diamond we calculate the decoherence of the electron spin polarization in Diamond via a nonperturbative treatment of the time-dependent Greens function of the Central-Spin model, describing the phonon and Hyperfine couplings of the electron to a bath of $C^{13}$ atoms, for arbitrary initial polarizations, applied field strengths, and for up to eight entangled $C^{13}$ atoms. We compare these numerical results with the exact treatment available in the fully initially polarized limit of the non-Markovian dynamics regime, and comment on the role of dangerously irrelevant scaling in the meta-stability of $C^{13}$ flip-flop processes.