dorsal/arxiv
View SchemaContinuous measurement of canonical observables and limit Stochastic Schrodinger equations
| Authors | John Gough, Andrei Sobolev |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411063 |
| URL | https://arxiv.org/abs/quant-ph/0411063 |
| DOI | 10.1103/PhysRevA.69.032107 |
| Journal | Physical Review A, 69, 032107 (2004) |
Abstract
We derive the stochastic Schrodinger equation for the limit of continuous weak measurement where the observables monitored are canonical position and momentum. To this end we extend an argument due to Smolianov and Truman from the von Neumann model of indirect measurement of position to the Arthurs and Kelly model for simultaneous measurement of position and momentum. We only require unbiasedness of the detector states and an integrability condition sufficient to ensure a central limit effect. Despite taking a weak interaction, as opposed to weak measurement limit, the resulting stochastic wave equation is of the same form as that derived in a recent paper by Scott and Milburn for the specific case of joint Gaussian states.
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"abstract": "We derive the stochastic Schrodinger equation for the limit of continuous\nweak measurement where the observables monitored are canonical position and\nmomentum. To this end we extend an argument due to Smolianov and Truman from\nthe von Neumann model of indirect measurement of position to the Arthurs and\nKelly model for simultaneous measurement of position and momentum. We only\nrequire unbiasedness of the detector states and an integrability condition\nsufficient to ensure a central limit effect. Despite taking a weak interaction,\nas opposed to weak measurement limit, the resulting stochastic wave equation is\nof the same form as that derived in a recent paper by Scott and Milburn for the\nspecific case of joint Gaussian states.",
"arxiv_id": "quant-ph/0411063",
"authors": [
"John Gough",
"Andrei Sobolev"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.032107",
"journal_ref": "Physical Review A, 69, 032107 (2004)",
"title": "Continuous measurement of canonical observables and limit Stochastic Schrodinger equations",
"url": "https://arxiv.org/abs/quant-ph/0411063"
},
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