dorsal/arxiv
View SchemaSignatures of chaotic and non-chaotic-like behaviour in a non-linear quantum oscillator through photon detection
| Authors | M. J. Everitt, T. D. Clark, P. B. Stiffell, J. F. Ralph, A. R. Bulsara, C. J. Harland |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503185 |
| URL | https://arxiv.org/abs/quant-ph/0503185 |
| DOI | 10.1103/PhysRevE.72.066209 |
| Journal | Phys Rev E 72, 066209 (2005) |
Abstract
The driven non-linear duffing osillator is a very good, and standard, example of a quantum mechanical system from which classical-like orbits can be recovered from unravellings of the master equation. In order to generated such trajectories in the phase space of this oscillator in this paper we use a the quantum jumps unravelling together with a suitable application of the correspondence principle. We analyse the measured readout by considering the power spectra of photon counts produced by the quantum jumps. Here we show that localisation of the wave packet from the measurement of the oscillator by the photon detector produces a concomitant structure in the power spectra of the measured output. Furthermore, we demonstrate that this spectral analysis can be used to distinguish between different modes of the underlying dynamics of the oscillator.
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"abstract": "The driven non-linear duffing osillator is a very good, and standard, example\nof a quantum mechanical system from which classical-like orbits can be\nrecovered from unravellings of the master equation. In order to generated such\ntrajectories in the phase space of this oscillator in this paper we use a the\nquantum jumps unravelling together with a suitable application of the\ncorrespondence principle. We analyse the measured readout by considering the\npower spectra of photon counts produced by the quantum jumps. Here we show that\nlocalisation of the wave packet from the measurement of the oscillator by the\nphoton detector produces a concomitant structure in the power spectra of the\nmeasured output. Furthermore, we demonstrate that this spectral analysis can be\nused to distinguish between different modes of the underlying dynamics of the\noscillator.",
"arxiv_id": "quant-ph/0503185",
"authors": [
"M. J. Everitt",
"T. D. Clark",
"P. B. Stiffell",
"J. F. Ralph",
"A. R. Bulsara",
"C. J. Harland"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.72.066209",
"journal_ref": "Phys Rev E 72, 066209 (2005)",
"title": "Signatures of chaotic and non-chaotic-like behaviour in a non-linear quantum oscillator through photon detection",
"url": "https://arxiv.org/abs/quant-ph/0503185"
},
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