- Open Access
Quantifying the amplitudes of ultrafast magnetization fluctuations in using femtosecond noise-correlation spectroscopy
Phys. Rev. Applied 24, 044021 – Published 8 October, 2025
DOI: https://doi.org/10.1103/wkmb-ddwv
Abstract
Spin fluctuations are an important issue for the design and operation of future spintronic devices. Femtosecond noise-correlation spectroscopy (FemNoC) was recently applied to detect ultrafast magnetization fluctuations. FemNoC gives direct access to the spontaneous fluctuations of magnetization in magnetically ordered materials. In FemNoC experiments, the magnetic fluctuations are imprinted on the polarization state of two independent femtosecond probe pulses upon transmission through a magnetic sample. Using a subharmonic demodulation scheme, the cross-correlation of the signals from both pulse trains is calculated. Here, we quantitatively link the FemNoC output signal to an optical polarization rotation, and then in turn to the magnitude of the inherent spin fluctuations. To this end, three different calibration protocols are presented and compared in accuracy. Ultimately, we quantitatively determine both the variance of optical polarization noise in and that of the ultrafast magnetization fluctuations in .
Physics Subject Headings (PhySH)
Article Text
References (33)
- H. Falk and L. W. Bruch, Susceptibility and fluctuation, Phys. Rev. 180, 442 (1969).
- W. Schottky, Über spontane Stromschwankungen in verschiedenen Elektrizitätsleitern, Ann. Phys. 362, 541 (1918).
- V. S. Zapasskii, A. Greilich, S. A. Crooker, Y. Li, G. G. Kozlov, D. R. Yakovlev, D. Reuter, A. D. Wieck, and M. Bayer, Optical spectroscopy of spin noise, Phys. Rev. Lett. 110, 176601 (2013).
- V. S. Zapasskii, Spin-noise spectroscopy: From proof of principle to applications, Adv. Opt. Photonics 5, 131 (2013).
- S. A. Crooker, D. G. Rickel, A. V. Balatsky, and D. L. Smith, Spectroscopy of spontaneous spin noise as a probe of spin dynamics and magnetic resonance, Nature 431, 49 (2004).
- F. Berski, H. Kuhn, J. G. Lonnemann, J. Hübner, and M. Oestreich, Ultrahigh bandwidth spin noise spectroscopy: Detection of large g-factor fluctuations in highly n-Doped , Phys. Rev. Lett. 27, 1644 (1971).
- D. Roy, L. Yang, S. A. Crooker, and N. A. Sinitsyn, Cross-correlation spin noise spectroscopy of heterogeneous interacting spin systems, Sci. Rep. 5, 9573 (2015).
- M. M. Glazov and V. S. Zapasskii, Linear optics, Raman scattering, and spin noise spectroscopy, Opt. Express 23, 11713 (2015).
- M. Römer, J. Hübner, and M. Oestreich, Spatially resolved doping concentration measurement in semiconductors via spin noise spectroscopy, Appl. Phys. Lett. 94, 112105 (2009).
- S. Cronenberger, C. Abbas, D. Scalbert, and H. Boukari, Spatiotemporal spin noise spectroscopy, Phys. Rev. Lett. 123, 017401 (2019).
- Y. V. Pershin, V. A. Slipko, D. Roy, and N. A. Sinitsyn, Two-beam spin noise spectroscopy, Appl. Phys. Lett. 102, 202405 (2013).
- L. Yang, P. Glasenapp, A. Greilich, D. Reuter, A. D. Wieck, D. R. Yakovlev, M. Bayer, and S. A. Crooker, Two-colour spin noise spectroscopy and fluctuation correlations reveal homogeneous linewidths within quantum-dot ensembles, Nat. Commun. 5, 4949 (2014).
- S. Starosielec and D. Hägele, Ultrafast spin noise spectroscopy, Appl. Phys. Lett. 93, 051116 (2008).
- I.-C. Benea-Chelmus, C. Bonzon, C. Maissen, G. Scalari, M. Beck, and J. Faist, Subcycle measurement of intensity correlations in the terahertz frequency range, Phys. Rev. A 93, 043812 (2016).
- I.-C. Benea-Chelmus, M. Rösch, G. Scalari, M. Beck, and J. Faist, Intensity autocorrelation measurements of frequency combs in the terahertz range, Phys. Rev. A 96, 033821 (2017).
- I.-C. Benea-Chelmus, F. F. Settembrini, G. Scalari, and J. Faist, Electric field correlation measurements on the electromagnetic vacuum state, Nature 568, 7751 (2019).
- M. A. Weiss, A. Herbst, J. Schlegel, T. Dannegger, M. Evers, A. Donges, A. Leitenstorfer, S. T. B. Goennenwein, U. Nowak, and T. Kurihara, Discovery of ultrafast spontaneous spin switching in an antiferromagnet by femtosecond noise correlation spectroscopy, Nat. Commun. 14, 7651 (2023).
- M. A. Weiss, F. S. Herbst, S. Eggert, M. Nakajima, A. Leitenstorfer, S. T. B. Goennenwein, and T. Kurihara, Subharmonic lock-in detection and its optimization for femtosecond noise correlation spectroscopy, Rev. Sci. Instrum. 95, 083005 (2024).
- Balanced Amplified Photodetectors PDB450A-AC Operation Manual | Thorlabs, (2011).
- E. Hecht, Optik, 7. Auflage (De Gruyter, Berlin Boston, 2018).
- Y. Ozeki, Y. Kitagawa, K. Sumimura, N. Nishizawa, W. Umemura, S. Kajiyama, K. Fukui, and K. Itoh, Stimulated Raman scattering microscope with shot noise limited sensitivity using subharmonically synchronized laser pulses, Opt. Express 18, 13708 (2010).
- UHFLI 600 MHz Lock-in Amplifier | Zurich Instruments, https://www.zhinst.com/en/products/uhfli-lock-in-amplifier.
- J. Hartung, G. Knapp, and B. K. Sinha, Statistical Meta-Analysis with Applications, 1st ed. (Wiley & Sons, Hoboken, N.J, 2008).
- Q. Huang and D. S. Steel, Optical excitation effects on spin-noise spectroscopy in semiconductors, Phys. Rev. B 83, 155204 (2011).
- E. Evers, N. E. Kopteva, I. A. Yugova, D. R. Yakovlev, D. Reuter, A. D. Wieck, M. Bayer, and A. Greilich, Suppression of nuclear spin fluctuations in an quantum dot ensemble by GHz-pulsed optical excitation, Npj Quantum Inf. 7, 1 (2021).
- E. A. Stern, Faraday Effect in Magnetized Solids, Phys. Rev. Lett. 15, 62 (1965).
- G. Fitzky, M. Nakajima, Y. Koike, A. Leitenstorfer, and T. Kurihara, Ultrafast control of magnetic anisotropy by resonant excitation of 4f electrons and phonons in , Phys. Rev. Lett. 127, 107401 (2021).
- W. J. Tabor, A. W. Anderson, and L. G. Van Uitert, Visible and infrared Faraday rotation and birefringence of single-crystal rare-earth orthoferrites, J. Appl. Phys. 41, 3018 (1970).
- J. W. Goodman, Statistical Optics, New ed. (John Wiley & Sons Inc, New York Weinheim, 2000).
- H. H. Ku, Notes on the use of propagation of error formulas, J. Res. Natl. Bur. Stand. 70C, 263 (1966).
- Coaxial Bandpass Filter BBP-21.4+ Data Sheet | Mini Circuits.
- P. A. Usachev, R. V. Pisarev, A. M. Balbashov, A. V. Kimel, A. Kirilyuk, and T. Rasing, Optical properties of thulium orthoferrite , Phys. Solid State 47, 2292 (2005).
- M. A. Weiss, F. S. Herbst, G. Skobjin, S. Eggert, M. Nakajima, D. Reustlen, A. Leitenstorfer, S. T. B. Goennenwein, and T. Kurihara, Raw data and data analysis files for quantifying the amplitudes of ultrafast magnetization fluctuations in SmErFeO using femtosecond noise correlation spectroscopy, https://doi.org/10.48606/4ks5dnf64b416kfp.