# The theory of spin noise spectroscopy: a review

@article{Sinitsyn2016TheTO, title={The theory of spin noise spectroscopy: a review}, author={Nikolai A. Sinitsyn and Yuriy V. Pershin}, journal={Reports on Progress in Physics}, year={2016}, volume={79} }

Direct measurements of spin fluctuations are becoming the mainstream approach for studies of complex condensed matter, molecular, nuclear, and atomic systems. This review covers recent progress in the field of optical spin noise spectroscopy (SNS) with an additional goal to establish an introduction into its theoretical foundations. Various theoretical techniques that have been recently used to interpret results of SNS measurements are explained alongside examples of their applications.

## 68 Citations

### Theory of optically detected spin noise in nanosystems

- PhysicsUspekhi Fizicheskih Nauk
- 2020

The theory of spin noise in low-dimensional systems and bulk semiconductors is reviewed. Spin noise is usually detected by optical means continuously measuring the rotation angle of the polarization…

### Spatiotemporal Spin Noise Spectroscopy.

- PhysicsPhysical review letters
- 2019

We report on the potential of a new spin noise spectroscopy approach by demonstrating all-optical probing of spatiotemporal spin fluctuations. This is achieved by homodyne mixing of a spatially…

### Theory of spin inertia in singly charged quantum dots

- PhysicsPhysical Review B
- 2018

The spin inertia measurement is a recently emerged tool to study slow spin dynamics, which is based on the excitation of the system by a train of circularly polarized pulses with alternating…

### Spin-noise spectrum in a pulse-modulated field.

- PhysicsOptics express
- 2020

This study measures the spin noise spectrum of a thermal Rubidium vapor in a pulse-modulated transverse magnetic field and develops a simple theory to describe the main structure of the SNS, which consists of resonances centered at half-odd-integer multiples of the modulation frequency while revealing the spin dynamics of the system in a zero field.

### Spin-noise spectroscopy of a noise-squeezed atomic state

- PhysicsPhysical Review Research
- 2021

Spin noise spectroscopy is emerging as a powerful technique for studying the dynamics of various spin systems also beyond their thermal equilibrium and linear response. Here, we study spin…

### Nonequilibrium spin noise in a quantum dot ensemble

- Physics
- 2017

The spin noise in singly charged self-assembled quantum dots is studied theoretically and experimentally under the influence of a perturbation, provided by additional photoexcited charge carriers.…

### Spin noise at electron paramagnetic resonance

- PhysicsPhysical Review B
- 2020

We develop a microscopic theory of spin noise in solid-state systems at electron paramagnetic resonance, when the spin dynamics is driven by static and radio-frequency (RF) magnetic fields and the…

### Quantum trajectories in spin-exchange collisions reveal the nature of spin-noise correlations in multispecies alkali-metal vapors

- PhysicsPhysical Review Research
- 2019

Spin-exchange collisions in alkali vapors have been at the basis of several fundamental and applied investigations, like nuclear structure studies and tests of fundamental symmetries, ultra-sensitive…

### Nuclear spin noise in the central spin model

- Physics
- 2018

We study theoretically the fluctuations of the nuclear spins in quantum dots employing the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin. These…

### Measurement back action and spin noise spectroscopy in a charged cavity QED device in the strong coupling regime

- Physics
- 2017

We study theoretically the spin-induced and photon-induced fluctuations of optical signals from a singly-charged quantum dot-microcavity structure. We identify the respective contributions of the…

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- PhysicsPhysical review letters
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It is demonstrated that the spin relaxation can be very slow, and the resulting noise power spectrum increases algebraically as the frequency goes to zero, which makes spin phenomena in nanowires best suitable for studies by rapidly developing spin-noise spectroscopy.

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The optical spin noise spectroscopy (SNS) is a minimally invasive route toward obtaining dynamical information about electrons and atomic gases by measuring mesoscopic time-dependent spin…

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- PhysicsPhysical review letters
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The electron-spin relaxation time and the electron Landé g factor in -doped GaAs at low temperatures is measured and good agreement of the measured noise spectrum with a theory based on Poisson distribution probability is found.

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Spin noise spectroscopy in semiconductors is an optical method that allows nearly perturbation free measurements of the spin dynamics of electrons in thermal equilibrium. The article explains the…

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We discuss advantages and limitations of the spin noise spectroscopy for characterization of interacting quantum dot systems on specific examples of individual singly and doubly charged quantum dot…

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Spin noise sets fundamental limits to the attainable precision of measurements using spin-polarized atomic vapors and therefore merits a careful study. On the other hand, it has been recently shown…

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