On Quantum - Classical Correspondence for Baker's Map

2001/08/23 by K. Inoue, Kei Inoue, Makoto Ohya +6
Chemistry · Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0108107

13 pages

arxiv created 2001/08/23 · openalex publication_date 2001/08/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Decoherence, einselection, and the quantum origins of the classical

Related

• The quantum Bernoulli map
• Finite time quantum-classical correspondence in quantum chaotic systems
• The Approach to Ergodicity in the Quantum Baker's Map
• Quantum Chaos and Quantum-Classical Correspondence
• Classical route to quantum chaotic motions