Nuclear-spin noise and spontaneous emission

Tycho Sleator, Erwin L. Hahn, Claude Hilbert, John Clarke

    Research output: Contribution to journalArticle

    Abstract

    The spontaneous emission from nuclear spins has been observed at liquid-4He temperatures. The spins, Cl35 nuclei, are placed in the inductor of a tuned LCR circuit coupled to a dc superconducting quantum interference device used as a radio-frequency amplifier. When the spins are saturated and have zero polarization, the emission is observed at the nuclear quadrupole Larmor frequency as a bump in the spectral density of the Nyquist noise current in the tuned circuit. This bump arises from the temperature-independent fluctuations in the transverse component of the nuclear magnetization. When the spins are in thermal equilibrium, on the other hand, a dip in the spectral density of the current noise is observed, arising from an induced absorption of noise power from the circuit at the Larmor frequency. The standard circuit-coupled Blochs equation, modified to take into account radiation damping and transverse spin fluctuations, is consistent with the predictions of the Nyquist theorem and the Einstein equation for spontaneous emission. A spin-pendulum model for spin noise is described. The signal-to-noise ratio obtainable in a spin-noise measurement is discussed.

    Original languageEnglish (US)
    Pages (from-to)1969-1980
    Number of pages12
    JournalPhysical Review B
    Volume36
    Issue number4
    DOIs
    StatePublished - 1987

    Fingerprint

    Coupled circuits
    Spectral density
    Spontaneous emission
    nuclear spin
    spontaneous emission
    Radio frequency amplifiers
    Spin fluctuations
    Networks (circuits)
    SQUIDs
    Pendulums
    Magnetization
    Signal to noise ratio
    Damping
    Polarization
    Radiation
    Temperature
    Liquids
    pendulums
    inductors
    Einstein equations

    ASJC Scopus subject areas

    • Condensed Matter Physics

    Cite this

    Sleator, T., Hahn, E. L., Hilbert, C., & Clarke, J. (1987). Nuclear-spin noise and spontaneous emission. Physical Review B, 36(4), 1969-1980. https://doi.org/10.1103/PhysRevB.36.1969

    Nuclear-spin noise and spontaneous emission. / Sleator, Tycho; Hahn, Erwin L.; Hilbert, Claude; Clarke, John.

    In: Physical Review B, Vol. 36, No. 4, 1987, p. 1969-1980.

    Research output: Contribution to journalArticle

    Sleator, T, Hahn, EL, Hilbert, C & Clarke, J 1987, 'Nuclear-spin noise and spontaneous emission', Physical Review B, vol. 36, no. 4, pp. 1969-1980. https://doi.org/10.1103/PhysRevB.36.1969
    Sleator T, Hahn EL, Hilbert C, Clarke J. Nuclear-spin noise and spontaneous emission. Physical Review B. 1987;36(4):1969-1980. https://doi.org/10.1103/PhysRevB.36.1969
    Sleator, Tycho ; Hahn, Erwin L. ; Hilbert, Claude ; Clarke, John. / Nuclear-spin noise and spontaneous emission. In: Physical Review B. 1987 ; Vol. 36, No. 4. pp. 1969-1980.
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