dorsal/arxiv
View SchemaCan a quantum nondemolition measurement improve the sensitivity of an atomic magnetometer?
| Authors | M. Auzinsh, D. Budker D. F. Kimball, S. M. Rochester, J. E. Stalnaker, A. O. Sushkov, V. V. Yashchuk |
|---|---|
| Categories | |
| ArXiv ID | physics/0403097 |
| URL | https://arxiv.org/abs/physics/0403097 |
| DOI | 10.1103/PhysRevLett.93.173002 |
Abstract
Noise properties of an idealized atomic magnetometer that utilizes spin squeezing induced by a continuous quantum nondemolition measurement are considered. Such a magnetometer measures spin precession of $N$ atomic spins by detecting optical rotation of far-detuned light. Fundamental noise sources include the quantum projection noise and the photon shot-noise. For measurement times much shorter than the spin-relaxation time observed in the absence of light ($\tau_{\rm rel}$) divided by $\sqrt{N}$, the optimal sensitivity of the magnetometer scales as $N^{-3/4}$, so an advantage over the usual sensitivity scaling as $N^{-1/2}$ can be achieved. However, at longer measurement times, the optimized sensitivity scales as $N^{-1/2}$, as for a usual shot-noise limited magnetometer. If strongly squeezed probe light is used, the Heisenberg uncertainty limit may, in principle, be reached for very short measurement times. However, if the measurement time exceeds $\tau_{\rm rel}/N$, the $N^{-1/2}$ scaling is again restored.
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"abstract": "Noise properties of an idealized atomic magnetometer that utilizes spin\nsqueezing induced by a continuous quantum nondemolition measurement are\nconsidered. Such a magnetometer measures spin precession of $N$ atomic spins by\ndetecting optical rotation of far-detuned light. Fundamental noise sources\ninclude the quantum projection noise and the photon shot-noise. For measurement\ntimes much shorter than the spin-relaxation time observed in the absence of\nlight ($\\tau_{\\rm rel}$) divided by $\\sqrt{N}$, the optimal sensitivity of the\nmagnetometer scales as $N^{-3/4}$, so an advantage over the usual sensitivity\nscaling as $N^{-1/2}$ can be achieved. However, at longer measurement times,\nthe optimized sensitivity scales as $N^{-1/2}$, as for a usual shot-noise\nlimited magnetometer. If strongly squeezed probe light is used, the Heisenberg\nuncertainty limit may, in principle, be reached for very short measurement\ntimes. However, if the measurement time exceeds $\\tau_{\\rm rel}/N$, the\n$N^{-1/2}$ scaling is again restored.",
"arxiv_id": "physics/0403097",
"authors": [
"M. Auzinsh",
"D. Budker D. F. Kimball",
"S. M. Rochester",
"J. E. Stalnaker",
"A. O. Sushkov",
"V. V. Yashchuk"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1103/PhysRevLett.93.173002",
"title": "Can a quantum nondemolition measurement improve the sensitivity of an atomic magnetometer?",
"url": "https://arxiv.org/abs/physics/0403097"
},
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