dorsal/arxiv
View SchemaEvolution of an open system as a continuous measurement of this system by its environment
| Authors | Michael B. Mensky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211116 |
| URL | https://arxiv.org/abs/quant-ph/0211116 |
| DOI | 10.1016/S0375-9601(02)01674-2 |
| Journal | Phys. Lett. A 307, 85-92 (2003). |
Abstract
The restricted-path-integral (RPI) description of a continuous quantum measurement is rederived starting from the description of an open system by the Feynman-Vernon influence functional. For this end the total evolution operator of the compound system consisting of the open system and its environment is decomposed into the sum of partial evolution operators. Accordingly, the influence functional of the open system is decomposed into the integral of partial influence functionals (PIF). If the partial evolution operators or PIF are chosen in such a way that they decohere (do not interfere with each other), then the formalism of RPI effectively arises. The evolution of the open system may then be interpreted as a continuous measurement of this system by its environment. This is possible if the environment is macroscopic or mesoscopic.
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"abstract": "The restricted-path-integral (RPI) description of a continuous quantum\nmeasurement is rederived starting from the description of an open system by the\nFeynman-Vernon influence functional. For this end the total evolution operator\nof the compound system consisting of the open system and its environment is\ndecomposed into the sum of partial evolution operators. Accordingly, the\ninfluence functional of the open system is decomposed into the integral of\npartial influence functionals (PIF). If the partial evolution operators or PIF\nare chosen in such a way that they decohere (do not interfere with each other),\nthen the formalism of RPI effectively arises. The evolution of the open system\nmay then be interpreted as a continuous measurement of this system by its\nenvironment. This is possible if the environment is macroscopic or mesoscopic.",
"arxiv_id": "quant-ph/0211116",
"authors": [
"Michael B. Mensky"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(02)01674-2",
"journal_ref": "Phys. Lett. A 307, 85-92 (2003).",
"title": "Evolution of an open system as a continuous measurement of this system by its environment",
"url": "https://arxiv.org/abs/quant-ph/0211116"
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