dorsal/arxiv
View SchemaQuantum phase-space analysis of the pendular cavity
| Authors | M. K. Olsen, A. B. Melo, K. Dechoum, A. Z. Khoury |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409214 |
| URL | https://arxiv.org/abs/quant-ph/0409214 |
| DOI | 10.1103/PhysRevA.70.043815 |
Abstract
We perform a quantum mechanical analysis of the pendular cavity, using the positive-P representation, showing that the quantum state of the moving mirror, a macroscopic object, has noticeable effects on the dynamics. This system has previously been proposed as a candidate for the quantum-limited measurement of small displacements of the mirror due to radiation pressure, for the production of states with entanglement between the mirror and the field, and even for superposition states of the mirror. However, when we treat the oscillating mirror quantum mechanically, we find that it always oscillates, has no stationary steady-state, and exhibits uncertainties in position and momentum which are typically larger than the mean values. This means that previous linearised fluctuation analyses which have been used to predict these highly quantum states are of limited use. We find that the achievable accuracy in measurement is far worse than the standard quantum limit due to thermal noise, which, for typical experimental parameters, is overwhelming even at 2 mK.
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"abstract": "We perform a quantum mechanical analysis of the pendular cavity, using the\npositive-P representation, showing that the quantum state of the moving mirror,\na macroscopic object, has noticeable effects on the dynamics. This system has\npreviously been proposed as a candidate for the quantum-limited measurement of\nsmall displacements of the mirror due to radiation pressure, for the production\nof states with entanglement between the mirror and the field, and even for\nsuperposition states of the mirror. However, when we treat the oscillating\nmirror quantum mechanically, we find that it always oscillates, has no\nstationary steady-state, and exhibits uncertainties in position and momentum\nwhich are typically larger than the mean values. This means that previous\nlinearised fluctuation analyses which have been used to predict these highly\nquantum states are of limited use. We find that the achievable accuracy in\nmeasurement is far worse than the standard quantum limit due to thermal noise,\nwhich, for typical experimental parameters, is overwhelming even at 2 mK.",
"arxiv_id": "quant-ph/0409214",
"authors": [
"M. K. Olsen",
"A. B. Melo",
"K. Dechoum",
"A. Z. Khoury"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.043815",
"title": "Quantum phase-space analysis of the pendular cavity",
"url": "https://arxiv.org/abs/quant-ph/0409214"
},
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