dorsal/arxiv
View SchemaQuantum noise in the position measurement of a cavity mirror undergoing Brownian motion
| Authors | K. Jacobs, I. Tittonen, H. M. Wiseman, S. Schiller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9902040 |
| URL | https://arxiv.org/abs/quant-ph/9902040 |
| DOI | 10.1103/PhysRevA.60.538 |
| Journal | Phys.Rev. A60 (1999) 538 |
Abstract
We perform a quantum theoretical calculation of the noise power spectrum for a phase measurement of the light output from a coherently driven optical cavity with a freely moving rear mirror. We examine how the noise resulting from the quantum back action appears among the various contributions from other noise sources. We do not assume an ideal (homodyne) phase measurement, but rather consider phase modulation detection, which we show has a different shot noise level. We also take into account the effects of thermal damping of the mirror, losses within the cavity, and classical laser noise. We relate our theoretical results to experimental parameters, so as to make direct comparisons with current experiments simple. We also show that in this situation, the standard Brownian motion master equation is inadequate for describing the thermal damping of the mirror, as it produces a spurious term in the steady-state phase fluctuation spectrum. The corrected Brownian motion master equation [L. Diosi, Europhys. Lett. {\bf 22}, 1 (1993)] rectifies this inadequacy.
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"abstract": "We perform a quantum theoretical calculation of the noise power spectrum for\na phase measurement of the light output from a coherently driven optical cavity\nwith a freely moving rear mirror. We examine how the noise resulting from the\nquantum back action appears among the various contributions from other noise\nsources. We do not assume an ideal (homodyne) phase measurement, but rather\nconsider phase modulation detection, which we show has a different shot noise\nlevel. We also take into account the effects of thermal damping of the mirror,\nlosses within the cavity, and classical laser noise. We relate our theoretical\nresults to experimental parameters, so as to make direct comparisons with\ncurrent experiments simple. We also show that in this situation, the standard\nBrownian motion master equation is inadequate for describing the thermal\ndamping of the mirror, as it produces a spurious term in the steady-state phase\nfluctuation spectrum. The corrected Brownian motion master equation [L. Diosi,\nEurophys. Lett. {\\bf 22}, 1 (1993)] rectifies this inadequacy.",
"arxiv_id": "quant-ph/9902040",
"authors": [
"K. Jacobs",
"I. Tittonen",
"H. M. Wiseman",
"S. Schiller"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.60.538",
"journal_ref": "Phys.Rev. A60 (1999) 538",
"title": "Quantum noise in the position measurement of a cavity mirror undergoing Brownian motion",
"url": "https://arxiv.org/abs/quant-ph/9902040"
},
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