Higher order spin noise spectroscopy of atomic spins in fluctuating external fields

Abstract

We discuss the effect of external noisy magnetic fields on mesoscopic spin fluctuations that can be probed in semiconductors and atomic vapors by means of optical spin noise spectroscopy (SNS). We show that conventional arguments of the law of large numbers do not apply to spin correlations induced by external fields, namely, the magnitude of the 4th order spin cumulant grows as $\sim N^2$ with the number $N$ of observed spins, i.e. it is not suppressed in comparison to the 2nd order cumulant. This allows us to design a simple experiment to measure the 4th order cumulant of spin fluctuations in an atomic system near thermodynamic equilibrium and develop quantitative theory that explains all observations.

9 pages, 7 figures

References in corpus (4)

• Spectroscopy of Surface-Induced Noise Using Shallow Spins in Diamond
• Spin noise spectroscopy beyond thermal equilibrium and linear response
• A quantitative study of spin noise spectroscopy in a classical gas of ${}^{41}$K atoms
• Nonequilibrium Spin Noise and Noise of Susceptibility

Cited by in corpus (7)

• The Theory of Spin Noise Spectroscopy: A Review
• Higher order moments, cumulants, and spectra of continuous quantum noise measurements
• Shot noise as a probe of spin-correlated transport through single atoms
• Optical Resonance Shift Spin Noise Spectroscopy
• Creation and dynamics of spin fluctuations in a noisy magnetic field
• Anomalous high-density spin noise in a strongly interacting atomic vapor
• Phase Diagram of the Dynamics of a Precessing Qubit under Quantum Measurement