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Kozlov GG, Fomin AA, Petrov MY, Ryzhov II, Zapasskii VS. Raman scattering model of the spin noise. OPTICS EXPRESS 2021; 29:4770-4782. [PMID: 33726026 DOI: 10.1364/oe.415034] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/24/2020] [Accepted: 01/18/2021] [Indexed: 06/12/2023]
Abstract
The mechanism of formation of the polarimetric signal observed in the spin noise spectroscopy (SNS) is analyzed from the viewpoint of the light scattering theory. A rigorous calculation of the polarimetric signal (Faraday rotation or ellipticity) recorded in the SNS is presented in the approximation of single scattering. We show that it is most correctly to consider this noise as a result of scattering of the probe light beam by fluctuating susceptibility of the medium. Fluctuations of the gyrotropic (antisymmetric) part of the susceptibility tensor lead to appearance of the typical for the SNS Faraday rotation noise at the Larmor frequency. At the same time, fluctuations of linear anisotropy of the medium (symmetric part of the susceptibility tensor) give rise to the ellipticity noise of the probe beam spectrally localized at the double Larmor frequency. The results of the theoretical analysis well agree with the experimental data on the ellipticity noise in cesium vapor.
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Cronenberger S, Scalbert D. Quantum limited heterodyne detection of spin noise. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2016; 87:093111. [PMID: 27782593 DOI: 10.1063/1.4962863] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Spin noise spectroscopy is a powerful technique for studying spin relaxation in semiconductors. In this article, we propose an extension of this technique based on optical heterodyne detection of spin noise, which provides several key advantages compared to conventional spin noise spectroscopy: detection of high frequency spin noise not limited by detector bandwidth or sampling rates of digitizers, quantum limited sensitivity even in case of very weak probe power, and possible amplification of the spin noise signal. Heterodyne detection of spin noise is demonstrated on insulating n-doped GaAs. From measurements of spin noise spectra up to 0.4 Tesla, we determined the distribution of g-factors, Δg/g = 0.49%.
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Affiliation(s)
- S Cronenberger
- Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-Université de Montpellier, Montpellier FR-34095, France
| | - D Scalbert
- Laboratoire Charles Coulomb (L2C), UMR 5221 CNRS-Université de Montpellier, Montpellier FR-34095, France
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Ryzhov II, Kozlov GG, Smirnov DS, Glazov MM, Efimov YP, Eliseev SA, Lovtcius VA, Petrov VV, Kavokin KV, Kavokin AV, Zapasskii VS. Spin noise explores local magnetic fields in a semiconductor. Sci Rep 2016; 6:21062. [PMID: 26882994 PMCID: PMC4756372 DOI: 10.1038/srep21062] [Citation(s) in RCA: 31] [Impact Index Per Article: 3.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2015] [Accepted: 01/12/2016] [Indexed: 11/30/2022] Open
Abstract
Rapid development of spin noise spectroscopy of the last decade has led to a number of remarkable achievements in the fields of both magnetic resonance and optical spectroscopy. In this report, we demonstrate a new - magnetometric - potential of the spin noise spectroscopy and use it to study magnetic fields acting upon electron spin-system of an n-GaAs layer in a high-Q microcavity probed by elliptically polarized light. Along with the external magnetic field, applied to the sample, the spin noise spectrum revealed the Overhauser field created by optically oriented nuclei and an additional, previously unobserved, field arising in the presence of circularly polarized light. This "optical field" is directed along the light propagation axis, with its sign determined by sign of the light helicity. We show that this field results from the optical Stark effect in the field of the elliptically polarized light. This conclusion is supported by theoretical estimates.
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Affiliation(s)
- Ivan I. Ryzhov
- St.-Petersburg State University, Spin Optics Laboratory, Peterhof, St.-Petersburg 198504, Russia
| | - Gleb G. Kozlov
- St.-Petersburg State University, Spin Optics Laboratory, Peterhof, St.-Petersburg 198504, Russia
| | - Dmitrii S. Smirnov
- Ioffe Institute of the RAS, Sector of quantum coherent phenomena, St.-Petersburg 194021, Russia
| | - Mikhail M. Glazov
- St.-Petersburg State University, Spin Optics Laboratory, Peterhof, St.-Petersburg 198504, Russia
- Ioffe Institute of the RAS, Sector of quantum coherent phenomena, St.-Petersburg 194021, Russia
| | - Yurii P. Efimov
- St.-Petersburg State University, Resource Center “Nanophotonics”, Peterhof, St.-Petersburg 198504, Russia
| | - Sergei A. Eliseev
- St.-Petersburg State University, Resource Center “Nanophotonics”, Peterhof, St.-Petersburg 198504, Russia
| | - Viacheslav A. Lovtcius
- St.-Petersburg State University, Resource Center “Nanophotonics”, Peterhof, St.-Petersburg 198504, Russia
| | - Vladimir V. Petrov
- St.-Petersburg State University, Resource Center “Nanophotonics”, Peterhof, St.-Petersburg 198504, Russia
| | - Kirill V. Kavokin
- St.-Petersburg State University, Spin Optics Laboratory, Peterhof, St.-Petersburg 198504, Russia
- Ioffe Institute of the RAS, Laboratory of Semiconductor Optics, St.-Petersburg 194021, Russia
| | - Alexey V. Kavokin
- St.-Petersburg State University, Spin Optics Laboratory, Peterhof, St.-Petersburg 198504, Russia
- University of Southampton, Department of Physics & Astronomy, Southampton SO17 1BJ, United Kingdom
| | - Valerii S. Zapasskii
- St.-Petersburg State University, Spin Optics Laboratory, Peterhof, St.-Petersburg 198504, Russia
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