dorsal/arxiv
View SchemaQuantum continuous measurements, dynamical role of information and restricted path integrals
| Authors | Michael B. Mensky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0212112 |
| URL | https://arxiv.org/abs/quant-ph/0212112 |
Abstract
The restricted-path-integral (RPI) theory of continuous quantum measurements including the evolution of the measured systems and phenomenon of decoherence is reviewed. The measured system is considered as an open quantum system but without usage of any model of the measurement (of the measuring medium or the system's environment). The propagator of a measured system (conditioned by the measurement readout) is presented by RPI. In the important special case of monitoring an observable the propagator and the system's wave function satisfy Schroedinger equation with a complex Hamiltonian (depending on the measurement readout). Going over to the non-selective description of the measurement leads to the Lindblad master equation. In case of non-minimally disturbing measurements this gives theory of dissipative systems avoiding difficulties of other approaches. The whole theory is deduced from first principles of quantum mechanics. This proves that quantum mechanics includes theory of measurements and is therefore conceptually closed.
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"abstract": "The restricted-path-integral (RPI) theory of continuous quantum measurements\nincluding the evolution of the measured systems and phenomenon of decoherence\nis reviewed. The measured system is considered as an open quantum system but\nwithout usage of any model of the measurement (of the measuring medium or the\nsystem\u0027s environment). The propagator of a measured system (conditioned by the\nmeasurement readout) is presented by RPI. In the important special case of\nmonitoring an observable the propagator and the system\u0027s wave function satisfy\nSchroedinger equation with a complex Hamiltonian (depending on the measurement\nreadout). Going over to the non-selective description of the measurement leads\nto the Lindblad master equation. In case of non-minimally disturbing\nmeasurements this gives theory of dissipative systems avoiding difficulties of\nother approaches. The whole theory is deduced from first principles of quantum\nmechanics. This proves that quantum mechanics includes theory of measurements\nand is therefore conceptually closed.",
"arxiv_id": "quant-ph/0212112",
"authors": [
"Michael B. Mensky"
],
"categories": [
"quant-ph"
],
"title": "Quantum continuous measurements, dynamical role of information and restricted path integrals",
"url": "https://arxiv.org/abs/quant-ph/0212112"
},
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