dorsal/arxiv
View SchemaWeak Values, Quantum Trajectories, and the Stony-Brook Cavity QED experiment
| Authors | H. M. Wiseman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112116 |
| URL | https://arxiv.org/abs/quant-ph/0112116 |
| DOI | 10.1103/PhysRevA.65.032111 |
| Journal | PRA 65, 032111 (2002) |
Abstract
Weak values as introduced by Aharonov, Albert and Vaidman (AAV) are ensemble average values for the results of weak measurements. They are interesting when the ensemble is preselected on a particular initial state and postselected on a particular final measurement result. I show that weak values arise naturally in quantum optics, as weak measurements occur whenever an open system is monitored (as by a photodetector). I use quantum trajectory theory to derive a generalization of AAV's formula to include (a) mixed initial conditions, (b) nonunitary evolution, (c) a generalized (non-projective) final measurement, and (d) a non-back-action-evading weak measurement. I apply this theory to the recent Stony-Brook cavity QED experiment demonstrating wave-particle duality [G.T. Foster, L.A. Orozco, H.M. Castro-Beltran, and H.J. Carmichael, Phys. Rev. Lett. {85}, 3149 (2000)]. I show that the ``fractional'' correlation function measured in that experiment can be recast as a weak value in a form as simple as that introduced by AAV.
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"abstract": "Weak values as introduced by Aharonov, Albert and Vaidman (AAV) are ensemble\naverage values for the results of weak measurements. They are interesting when\nthe ensemble is preselected on a particular initial state and postselected on a\nparticular final measurement result. I show that weak values arise naturally in\nquantum optics, as weak measurements occur whenever an open system is monitored\n(as by a photodetector). I use quantum trajectory theory to derive a\ngeneralization of AAV\u0027s formula to include (a) mixed initial conditions, (b)\nnonunitary evolution, (c) a generalized (non-projective) final measurement, and\n(d) a non-back-action-evading weak measurement. I apply this theory to the\nrecent Stony-Brook cavity QED experiment demonstrating wave-particle duality\n[G.T. Foster, L.A. Orozco, H.M. Castro-Beltran, and H.J. Carmichael, Phys. Rev.\nLett. {85}, 3149 (2000)]. I show that the ``fractional\u0027\u0027 correlation function\nmeasured in that experiment can be recast as a weak value in a form as simple\nas that introduced by AAV.",
"arxiv_id": "quant-ph/0112116",
"authors": [
"H. M. Wiseman"
],
"categories": [
"quant-ph"
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"doi": "10.1103/PhysRevA.65.032111",
"journal_ref": "PRA 65, 032111 (2002)",
"title": "Weak Values, Quantum Trajectories, and the Stony-Brook Cavity QED experiment",
"url": "https://arxiv.org/abs/quant-ph/0112116"
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