Higher Order Spin Noise Statistics

Abstract

The optical spin noise spectroscopy (SNS) is a minimally invasive route towards obtaining dynamical information about electrons and atomic gases by measuring mesoscopic time-dependent spin fluctuations. Recent improvements of the sensitivity of SNS should make it possible to observe higher order spin correlators at thermodynamic equilibrium. We develop theoretical methods to explore higher order (3rd and 4th) cumulants of the spin noise in the frequency domain. We make predictions for the possible functional form of these correlators in single quantum dot experiments and then apply the method of the stochastic path integral to estimate effects of many-body interactions.

16 pages, 7 figures

References in corpus (13)

• The large deviation approach to statistical mechanics
• Universal oscillations in counting statistics
• Spin noise spectroscopy in GaAs (110) quantum wells: Access to intrinsic spin lifetimes and equilibrium electron dynamics
• Semiconductor Spin Noise Spectroscopy: Fundamentals, Accomplishments, and Challenges
• Trajectory phase transitions, Lee-Yang zeros, and high-order cumulants in full counting statistics
• The unified geometric theory of mesoscopic stochastic pumps and reversible ratchets
• The role of spin noise in the detection of nanoscale ensembles of nuclear spins
• Stochastic dynamics of a Josephson junction threshold detector
• Asymmetric noise probed with a Josephson junction
• A quantitative study of spin noise spectroscopy in a classical gas of ${}^{41}$K atoms
• Resources of polarimetric sensitivity in spin noise spectroscopy
• Trajectory phase transitions and dynamical Lee-Yang zeros of the Glauber-Ising chain
• Spin noise spectroscopy of quantum dot molecules

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• Higher order moments, cumulants, and spectra of continuous quantum noise measurements
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• Spectral characterization of non-Gaussian quantum noise: Keldysh approach and application to photon shot noise
• Universality in higher order spin noise spectroscopy
• Characterizing low-frequency qubit noise
• Quantum Zeno effect under continuous spin noise measurement in a quantum dot-micropillar cavity
• Broadband spectroscopy of thermodynamic magnetization fluctuations through a ferromagnetic spin-reorientation transition
• Nonergodic measurements of qubit frequency noise
• Quantum polyspectra for modeling and evaluating quantum transport measurements: A unifying approach to the strong and weak measurement regime
• Optical Resonance Shift Spin Noise Spectroscopy
• Birefringence and dichroism effects in the spin noise spectra of a spin-1 system
• Random-time quantum measurements
• Fourth-order spin correlation function in the extended central spin model