Linear dynamical entropy and free-independence for quantized maps on the torus

Abstract

We study the relations between the averaged linear entropy production in periodically measured quantum systems and ergodic properties of their classical counterparts. Quantized linear automorphisms of the torus, both classically chaotic and regular ones, are used as examples. Numerical calculations show different entropy production regimes depending on the relation between the Kolmogorov-Sinai entropy and the measurement entropy. The hypothesis of free independence relations between the dynamics and measurement proposed to explain the initial constant and maximal entropy production is tested numerically for those models.

7 pages, 5 figures

References in corpus (6)

• Fidelity Decay as an Efficient Indicator of Quantum Chaos
• Fidelity and Purity Decay in Weakly Coupled Composite Systems
• Decoherence for classically chaotic quantum maps
• Classical decays in decoherent quantum maps
• Quantum Dynamical Entropies in Discrete Classical Chaos
• Quantum dynamical entropy and decoherence rate

Cited by in corpus (1)

• A Survey on the Classical Limit of Quantum Dynamical Entropies