Universality in higher order spin noise spectroscopy

Abstract

Higher order time-correlators of spontaneous spin fluctuations reveal the information about spin interactions. We argue that in a broad class of spin systems one can justify a phenomenological approach to explore such correlators. Thus, we predict that the 3rd and 4th order spin cumulants are described by a universal function that can be parametrized by a small set of parameters. We show that the fluctuation theorem constrains this function so that such correlators are fully determined by lowest nonlinear corrections to the free energy and the mean and variance of microscopic spin currents. We also provide an example of microscopic calculations for conduction electrons.

5 pages with supplementary materials, 2 Figs

References in corpus (4)

• Macroscopic fluctuation theory
• Three stage decoherence dynamics of electron spin qubits in an optically active quantum dot
• Spin noise spectroscopy in GaAs (110) quantum wells: Access to intrinsic spin lifetimes and equilibrium electron dynamics
• Two-color spin noise spectroscopy: Using spin fluctuation correlations to reveal homogeneous linewidths within quantum dot ensembles

Cited by in corpus (9)

• The Theory of Spin Noise Spectroscopy: A Review
• Higher order moments, cumulants, and spectra of continuous quantum noise measurements
• Higher order spin noise spectroscopy of atomic spins in fluctuating external fields
• Spin and reoccupation noise in a single quantum dot beyond the fluctuation-dissipation theorem
• Long-time coherence in fourth-order spin correlation functions
• Collision-induced spin noise
• Optical Resonance Shift Spin Noise Spectroscopy
• Cross-correlation spectra in interacting quantum dot systems
• Fourth-order spin correlation function in the extended central spin model