On Quantum - Classical Correspondence for Baker's Map

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.

13 pages

References in corpus (9)

• Decoherence, einselection, and the quantum origins of the classical
• Decoherence, Chaos, and the Correspondence Principle
• Hypersensitivity to Perturbations in the Quantum Baker's Map
• Decoherence in a classically chaotic quantum system: entropy production and quantum--classical correspondence
• Overcoming the wall in the semiclassical baker's map
• Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times
• Classical limit in terms of symbolic dynamics for the quantum baker's map
• Quantum-Classical Correspondence for the Equilibrium Distributions of Two Interacting Spins
• Decoherence and linear entropy increase in the quantum baker's map

Cited by in corpus (4)

• Decoherence for classically chaotic quantum maps
• A Description of Quantum Chaos
• Periodic orbits in cosmological billiards: the Selberg trace formula for asymptotic Bianchi IX universes, evidence for scars in the wavefunction of the quantum universe and large-scale structure anisotropies of the present universe
• Stochastization of BKL dynamics and Anisotropic Sky Patterns