dorsal/arxiv
View SchemaOn Quantum - Classical Correspondence for Baker's Map
| Authors | K. Inoue, M. Ohya, I. V. Volovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108107 |
| URL | https://arxiv.org/abs/quant-ph/0108107 |
Abstract
Quantum baker`s map is a model of chaotic system. We study quantum dynamics for the quantum baker's map. We use the Schack and Caves symbolic description of the quantum baker`s map. We find an exact expression for the expectation value of the time dependent position operator. A relation between quantum and classical trajectories is investigated. Breakdown of the quantum-classical correspondence at the logarithmic timescale is rigorously established.
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"abstract": "Quantum baker`s map is a model of chaotic system. We study quantum dynamics\nfor the quantum baker\u0027s map. We use the Schack and Caves symbolic description\nof the quantum baker`s map. We find an exact expression for the expectation\nvalue of the time dependent position operator. A relation between quantum and\nclassical trajectories is investigated. Breakdown of the quantum-classical\ncorrespondence at the logarithmic timescale is rigorously established.",
"arxiv_id": "quant-ph/0108107",
"authors": [
"K. Inoue",
"M. Ohya",
"I. V. Volovich"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"title": "On Quantum - Classical Correspondence for Baker\u0027s Map",
"url": "https://arxiv.org/abs/quant-ph/0108107"
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