Quantum theory of nuclear spin dynamics in diamond nitrogen-vacancy center

TL;DR

This paper presents a quantum theoretical framework for nuclear spin dynamics in diamond NV centers, explaining phenomena like dephasing, relaxation, and spin squeezing, and generalizing previous models with new insights into experimental observations.

Contribution

It introduces a comprehensive quantum theory that generalizes existing models and explains experimental results on nuclear spin bath narrowing in diamond NV centers.

Findings

Reproduces and extends the nonlinear Hamiltonian for nuclear spin squeezing.

Provides a theoretical explanation for observed $^{13}$C nuclear spin bath narrowing.

Offers a second-order theory aligning with experimental data.

Abstract

We develop a quantum theory for a variety of nuclear spin dynamics such as dephasing, relaxation, squeezing, and narrowing due to the hyperfine interaction with a generic, dissipative electronic system. The first-order result of our theory reproduces and generalizes the nonlinear Hamiltonian for nuclear spin squeezing [M. S. Rudner, Phys. Rev. Lett. 107, 206806 (2011)]. The second-order result of our theory provides a good explanation to the experimentally observed $^{13}$C nuclear spin bath narrowing in diamond nitrogen-vacancy center [E. Togan, Nature 478, 497 (2011)