Appearance of objectivity for NV centers interacting with dynamically polarized nuclear environment

TL;DR

This paper investigates how the formation of Spectrum Broadcast Structures (SBS) can explain the emergence of objectivity in quantum systems, specifically focusing on NV centers in diamond interacting with polarized nuclear environments.

Contribution

It demonstrates the potential to simulate objectivization via SBS formation in NV centers under realistic experimental conditions.

Findings

High nuclear spin polarization ($p>0.5$) facilitates SBS formation.

Magnetic fields below approximately 20 Gauss support SBS-like states.

NV center states approach SBS states under these conditions.

Abstract

Quantum-to-classical transition still eludes a full understanding. Out of its multiple aspects, one has recently gained an increased attention - the appearance of objective world out of the quantum. One particularly idea is that objectivity appears thanks to specific quantum state structures formation during the evolution, known as Spectrum Broadcast Structures (SBS). Despite that quite some research was already performed on this strongest and most fundamental form of objectivity, its practical realization in a concrete physical medium has not been analyzed so far. In this work, we study the possibility to simulate objectivization process via SBS formation using widely studied Nitrogen-Vacancy centers in diamonds. Assuming achievable limits of dynamical polarization technique, we show that for high, but experimentally viable polarizations ($p>0.5$) of nuclear spins and for magnetic fields lower than $\approx \! 20$ Gauss the state of the NV center and its nearest polarized environment approaches reasonably well an SBS state.