- Letter
- Open Access
Spin-noise spectroscopy of a noise-squeezed atomic state
Phys. Rev. Research 3, L032015 – Published 12 July, 2021
DOI: https://doi.org/10.1103/PhysRevResearch.3.L032015
Abstract
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. In this context, we demonstrate a nonstandard mode of the spin-noise analysis applied to an out-of-equilibrium nonlinear atomic system realized by a Bell-Bloom atomic magnetometer. Driven by an external pump and undergoing a parametric excitation, this system is known to produce noise squeezing. Our measurements not only reveal a strong asymmetry in the noise distribution of the atomic signal quadratures at the magnetic resonance, but also provide insight into the mechanism behind its generation and evolution. In particular, a structure in the spectrum is identified which allows to investigate the main dependencies and the characteristic timescales of the noise process. The results obtained are compatible with parametrically induced noise squeezing. Notably, the noise spectrum provides information on the spin dynamics even in regimes where the macroscopic atomic coherence is lost, effectively enhancing the sensitivity of the measurements. Our Letter promotes spin-noise spectroscopy as a versatile technique for the study of noise squeezing in a wide range of spin-based magnetic sensors.
Physics Subject Headings (PhySH)
Article Text
Supplemental Material
References (33)
- 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 (London) 431, 49 (2004).
- B. Mihaila, S. A. Crooker, D. G. Rickel, K. B. Blagoev, P. B. Littlewood, and D. L. Smith, Quantitative study of spin noise spectroscopy in a classical gas of 41K atoms, Phys. Rev. A 74, 043819 (2006).
- G. E. Katsoprinakis, A. T. Dellis, and I. K. Kominis, Measurement of transverse spin-relaxation rates in a rubidium vapor by use of spin-noise spectroscopy, Phys. Rev. A 75, 042502 (2007).
- W. Chalupczak and R. M. Godun, Near-resonance spin-noise spectroscopy, Phys. Rev. A 83, 032512 (2011).
- V. S. Zapasskii, A. Greilich, S. A. Crooker, Yan 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).
- N. A. Sinitsyn and Y. V. Pershin, The theory of spin noise spectroscopy: A review, Rep. Prog. Phys. 79, 106501 (2016).
- E. L. Ivchenko, Fluctuations of spin polarization of free carriers in semiconductors, Sov. Phys. Semicond. 7, 998 (1974).
- E. B. Aleksandrov and V. S. Zapasskii, Magnetic resonance in the Faraday-rotation noise spectrum, JETP 54, 64 (1981).
- H. B. Callen and T. A. Welton, Irreversibility and generalized noise, Phys. Rev. 83, 34 (1951).
- Y. Takahashi, K. Honda, N. Tanaka, K. Toyoda, K. Ishikawa, and T. Yabuzaki, Quantum nondemolition measurement of spin via the paramagnetic Faraday rotation, Phys. Rev. A 60, 4974 (1999).
- I. I. Ryzhov, S. V. Poltavtsev, K. V. Kavokin, M. M. Glazov, G. G. Kozlov, M. Vladimirova, D. Scalbert, S. Cronenberger, A. V. Kavokin, A. Lemaître, J. Bloch, and V. S. Zapasskii, Measurements of nuclear spin dynamics by spin-noise spectroscopy, Appl. Phys. Lett. 106, 242405 (2015).
- H. Horn, G. M. Muller, E. M. Rasel, L. Santos, J. Hubner, and M. Oestreich, Spin-noise spectroscopy under resonant optical probing conditions: Coherent and nonlinear effects, Phys. Rev. A 84, 043851 (2011).
- S. V. Poltavtsev, I. I. Ryzhov, M. M. Glazov, G. G. Kozlov, V. S. Zapasskii, A. V. Kavokin, P. G. Lagoudakis, D. S. Smirnov, and E. L. Ivchenko, Spin noise spectroscopy of a single quantum well microcavity, Phys. Rev. B 89, 081304(R) (2014).
- P. Glasenapp, N. A. Sinitsyn, Luyi Yang, D. G. Rickel, D. Roy, A. Greilich, M. Bayer, and S. A. Crooker, Spin Noise Spectroscopy Beyond Thermal Equilibrium and Linear Response, Phys. Rev. Lett. 113, 156601 (2014).
- A. V. Poshakinskiy and S. A. Tarasenko, Spin noise at electron paramagnetic resonance, Phys. Rev. B 101, 075403 (2020).
- M. Swar, D. Roy, D. Dhanalakshmi, S. Chaudhuri, S. Roy, and H. Ramachandran, Measurements of spin properties of atomic systems in and out of equilibrium via noise spectroscopy, Opt. Express 26, 32168 (2018).
- W. E. Bell and A. L. Bloom, Optically Driven Spin Precession, Phys. Rev. Lett. 6, 280 (1961).
- R. Gartman and W. Chalupczak, Amplitude-modulated indirect pumping of spin orientation in low-density cesium vapor, Phys. Rev. A 91, 053419 (2015).
- V. Guarrera, R. Gartman, G. Bevilacqua, G. Barontini, and W. Chalupczak, Parametric Amplification and Noise Squeezing in Room Temperature Atomic Vapors, Phys. Rev. Lett. 123, 033601 (2019).
- T. Fernholz, H. Krauter, K. Jensen, J. F. Sherson, A. S. Sorensen, and E. S. Polzik, Spin Squeezing of Atomic Ensembles via Nuclear-Electronic Spin Entanglement, Phys. Rev. Lett. 101, 073601 (2008).
- A small oscillation at has been recently observed in the steady state due to replenishing of the decaying coherence by off-resonant pumping.
- F. Li, Y. V. Pershin, V. A. Slipko, and N. A. Sinitsyn, Nonequilibrium Spin Noise Spectroscopy, Phys. Rev. Lett. 111, 067201 (2013).
- M. M. Glazov, M. A. Semina, E. Y. Sherman, and A. V. Kavokin, Spin noise of exciton polaritons in microcavities, Phys. Rev. B 88, 041309(R) (2013).
- L. Pezze, A. Smerzi, M. K. Oberthaler, R. Schmied, and P. Treutlein, Quantum metrology with nonclassical states of atomic ensembles, Rev. Mod. Phys. 90, 035005 (2018).
- E. E. Wollman, C. U. Lei, A. J. Weinstein, J. Suh, A. Kronwald, F. Marquardt, A. A. Clerk, and K. C. Schwab1, Quantum squeezing of motion in a mechanical resonator, Science 349, 952 (2015).
- J. M. Pirkkalainen, E. Damskagg, M. Brandt, F. Massel, and M. A. Sillanpaa, Squeezing of Quantum Noise of Motion in a Micromechanical Resonator, Phys. Rev. Lett. 115, 243601 (2015).
- R. Gartman, V. Guarrera, G. Bevilacqua, and W. Chalupczak, Linear and nonlinear coherent coupling in a Bell-Bloom magnetometer, Phys. Rev. A 98, 061401(R) (2018).
- See Supplemental Material at https://link.aps.org/supplemental/10.1103/PhysRevResearch.3.L032015 for a detailed description of the analytical model for the noise spectrum of a parametric spin system with sinusoidal modulation of the relaxation rate.
- L. D. Landau and E. M. Lifshitz, Mechanics (Butterworth-Heinemann, Oxford, 1976).
- H. J. Carmichael, G. J. Milburn, and D. F. Walls, Squeezing in a detuned parametric amplifier, J. Phys. A 17, 469 (1984).
- T. Briant, P. F. Cohadon, M. Pinard, and A. Heidmann, Optical phase-space reconstruction of mirror position at the attometer level, Eur. Phys. J. D 22, 131 (2003).
- J. Kitching, S. Knappe, and E. A. Donley, Atomic sensors—A review, IEEE Sens. J. 11, 1749 (2011).
- W. Wasilewski, K. Jensen, H. Krauter, J. J. Renema, M. V. Balabas, and E. S. Polzik, Quantum Noise Limited and Entanglement-Assisted Magnetometry, Phys. Rev. Lett. 104, 133601 (2010).