On Quantum - Classical Correspondence for Baker's Map

K. Inoue; M. Ohya; I. V. Volovich

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arXiv · quant-ph/0108107

On Quantum - Classical Correspondence for Baker's Map

K. Inoue·M. Ohya·I. V. Volovich

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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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K. Inoue, M. Ohya, I. V. Volovich. 2001-08-23. On Quantum - Classical Correspondence for Baker's Map. https://arxiv.org/abs/quant-ph/0108107

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