Nuclear spin dynamics, noise, squeezing and entanglement in box model

TL;DR

This paper provides an analytical solution for nuclear spin dynamics in the central spin box model, revealing insights into noise, squeezing, and entanglement phenomena without system excitation.

Contribution

It introduces a compact analytical solution for the nonlinear nuclear spin equations in the many-spin limit, enabling detailed analysis of spin noise and quantum correlations.

Findings

Analytical expression for nuclear spin precession and oscillation frequencies.

Description of nuclear spin squeezing effects.

Analysis of many-body entanglement in the system.

Abstract

We obtain a compact analytical solution for the nonlinear equation for the nuclear spin dynamics in the central spin box model in the limit of many nuclear spins. The total nuclear spin component along the external magnetic field is conserved and the two perpendicular components precess or oscillate depending on the electron spin polarization, with the frequency, determined by the nuclear spin polarization. As applications of our solution, we calculate the nuclear spin noise spectrum and describe the effects of nuclear spin squeezing and many body entanglement in the absence of a system excitation.