dorsal/arxiv
View SchemaRealization scheme for continuous fuzzy measurement of energy and the monitoring of a quantum transition
| Authors | J. Audretsch, M. B. Mensky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9808062 |
| URL | https://arxiv.org/abs/quant-ph/9808062 |
Abstract
The continuous fuzzy measurement of energy of a single two-level system driven by a resonant external field is studied. An analysis is given in the framework of the phenomenological restricted path integral approach (RPI) (which reduces effectively to a Schrodinger equation with a complex Hamiltonian) as well as with reference to the microphysical details of a class of concrete physical realizations. Within the RPI approach it is demonstrated that for appropriately adjusted fuzziness, information about the evolution of the state of the system can be read off from the measurement readout E(t). It is shown furthermore how a measurement of this type may be realized by a series of weak and short interactions of the two-level system with a quantum mechanical meter system. After each interaction a macroscopic measuring apparatus causes the meter to transit into one of two states. The result is used to generate the energy readout E(t). In this way a complete agreement with the RPI approach is demonstrated which thus obtains an operational interpretation.
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"abstract": "The continuous fuzzy measurement of energy of a single two-level system\ndriven by a resonant external field is studied. An analysis is given in the\nframework of the phenomenological restricted path integral approach (RPI)\n(which reduces effectively to a Schrodinger equation with a complex\nHamiltonian) as well as with reference to the microphysical details of a class\nof concrete physical realizations. Within the RPI approach it is demonstrated\nthat for appropriately adjusted fuzziness, information about the evolution of\nthe state of the system can be read off from the measurement readout E(t). It\nis shown furthermore how a measurement of this type may be realized by a series\nof weak and short interactions of the two-level system with a quantum\nmechanical meter system. After each interaction a macroscopic measuring\napparatus causes the meter to transit into one of two states. The result is\nused to generate the energy readout E(t). In this way a complete agreement with\nthe RPI approach is demonstrated which thus obtains an operational\ninterpretation.",
"arxiv_id": "quant-ph/9808062",
"authors": [
"J. Audretsch",
"M. B. Mensky"
],
"categories": [
"quant-ph"
],
"title": "Realization scheme for continuous fuzzy measurement of energy and the monitoring of a quantum transition",
"url": "https://arxiv.org/abs/quant-ph/9808062"
},
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