TY - JOUR

T1 - Nuclear-spin noise and spontaneous emission

AU - Sleator, Tycho

AU - Hahn, Erwin L.

AU - Hilbert, Claude

AU - Clarke, John

PY - 1987

Y1 - 1987

N2 - 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.

AB - 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.

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U2 - 10.1103/PhysRevB.36.1969

DO - 10.1103/PhysRevB.36.1969

M3 - Article

AN - SCOPUS:0000077153

VL - 36

SP - 1969

EP - 1980

JO - Physical Review B

JF - Physical Review B

SN - 0163-1829

IS - 4

ER -