dorsal/arxiv
View SchemaQuantum anti-Zeno effect
| Authors | B. Kaulakys, V. Gontis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9708024 |
| URL | https://arxiv.org/abs/quant-ph/9708024 |
| DOI | 10.1103/PhysRevA.56.1131 |
| Journal | Phys.Rev.A56:1131-1137,1997 |
Abstract
Prevention of a quantum system's time evolution by repetitive, frequent measurements of the system's state has been called the quantum Zeno effect (or paradox). Here we investigate theoretically and numerically the effect of repeated measurements on the quantum dynamics of the multilevel systems that exhibit the quantum localization of the classical chaos. The analysis is based on the wave function and Schroedinger equation, without introduction of the density matrix. We show how the quantum Zeno effect in simple few-level systems can be recovered and understood by formal modeling the measurement effect on the dynamics by randomizing the phases of the measured states. Further the similar analysis is extended to investigate of the dynamics of multilevel systems driven by an intense external force and affected by frequent measurement. We show that frequent measurements of such quantum systems results in the delocalization of the quantum suppression of the classical chaos. This result is the opposite of the quantum Zeno effect. The phenomenon of delocalization of the quantum suppression and restoration of the classical-like time evolution of these quasiclassical systems, owing to repetitive frequent measurements, can therefore be called the 'quantum anti-Zeno effect'. From this analysis we furthermore conclude that frequently or continuously observable quasiclassical systems evolve basically in a classical manner.
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"abstract": "Prevention of a quantum system\u0027s time evolution by repetitive, frequent\nmeasurements of the system\u0027s state has been called the quantum Zeno effect (or\nparadox). Here we investigate theoretically and numerically the effect of\nrepeated measurements on the quantum dynamics of the multilevel systems that\nexhibit the quantum localization of the classical chaos. The analysis is based\non the wave function and Schroedinger equation, without introduction of the\ndensity matrix. We show how the quantum Zeno effect in simple few-level systems\ncan be recovered and understood by formal modeling the measurement effect on\nthe dynamics by randomizing the phases of the measured states. Further the\nsimilar analysis is extended to investigate of the dynamics of multilevel\nsystems driven by an intense external force and affected by frequent\nmeasurement. We show that frequent measurements of such quantum systems results\nin the delocalization of the quantum suppression of the classical chaos. This\nresult is the opposite of the quantum Zeno effect. The phenomenon of\ndelocalization of the quantum suppression and restoration of the classical-like\ntime evolution of these quasiclassical systems, owing to repetitive frequent\nmeasurements, can therefore be called the \u0027quantum anti-Zeno effect\u0027. From this\nanalysis we furthermore conclude that frequently or continuously observable\nquasiclassical systems evolve basically in a classical manner.",
"arxiv_id": "quant-ph/9708024",
"authors": [
"B. Kaulakys",
"V. Gontis"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.56.1131",
"journal_ref": "Phys.Rev.A56:1131-1137,1997",
"title": "Quantum anti-Zeno effect",
"url": "https://arxiv.org/abs/quant-ph/9708024"
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