On Quantum - Classical Correspondence for Baker's Map

Details On Quantum - Classical Correspondence for Baker's Map On Quantum - Classical Correspondence for Baker's Map

2001-08-23

arxiv.org/abs/quant-ph/0108107v1

Physics

Quantum Physics

13 pages

Scientific paper

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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