dorsal/arxiv
View SchemaDecoherence in Phase Space
| Authors | M. Murakami, G. W. Ford, R. F. O'Connell |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301050 |
| URL | https://arxiv.org/abs/quant-ph/0301050 |
| Journal | Laser Physics, Vol. 13. No. 2, 2003, pp. 180-183 |
Abstract
Much of the discussion of decoherence has been in terms of a particle moving in one dimension that is placed in an initial superposition state (a Schr\"{o}dinger "cat" state) corresponding to two widely separated wave packets. Decoherence refers to the destruction of the interference term in the quantum probability function. Here, we stress that a quantitative measure of decoherence depends not only on the specific system being studied but also on whether one is considering coordinate, momentum or phase space. We show that this is best illustrated by considering Wigner phase space where the measure is again different. Analytic results for the time development of the Wigner distribution function for a two-Gaussian Schrodinger "cat" state have been obtained in the high-temperature limit (where decoherence can occur even for negligible dissipation) which facilitates a simple demonstration of our remarks.
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"abstract": "Much of the discussion of decoherence has been in terms of a particle moving\nin one dimension that is placed in an initial superposition state (a\nSchr\\\"{o}dinger \"cat\" state) corresponding to two widely separated wave\npackets. Decoherence refers to the destruction of the interference term in the\nquantum probability function. Here, we stress that a quantitative measure of\ndecoherence depends not only on the specific system being studied but also on\nwhether one is considering coordinate, momentum or phase space. We show that\nthis is best illustrated by considering Wigner phase space where the measure is\nagain different. Analytic results for the time development of the Wigner\ndistribution function for a two-Gaussian Schrodinger \"cat\" state have been\nobtained in the high-temperature limit (where decoherence can occur even for\nnegligible dissipation) which facilitates a simple demonstration of our\nremarks.",
"arxiv_id": "quant-ph/0301050",
"authors": [
"M. Murakami",
"G. W. Ford",
"R. F. O\u0027Connell"
],
"categories": [
"quant-ph"
],
"journal_ref": "Laser Physics, Vol. 13. No. 2, 2003, pp. 180-183",
"title": "Decoherence in Phase Space",
"url": "https://arxiv.org/abs/quant-ph/0301050"
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