Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol'd Cat
arXiv:2407.11587 · doi:10.3390/e25071004
Abstract
I study the scaling behavior in the physical parameters of dynamical entropies, classical and quantum, in a specifically devised model of collision-induced decoherence in a chaotic system. The treatment is fully canonical and no approximations are involved or infinite limits taken. I present this model in a detailed way, in order to clarify my views in the debate about the nature, definition, and relevance of quantum chaos.
References in corpus (19)
- Decoherence, einselection, and the quantum origins of the classical
- Classical Equations for Quantum Systems
- Decoherence, Chaos, and the Second Law
- Quantum State Diffusion, Density Matrix Diagonalization and Decoherent Histories: A Model
- Quantum chaos: a decoherent definition.
- Lyapunov exponent in quantum mechanics. A phase-space approach
- Quantum chaos in open systems: a quantum state diffusion analysis
- A Review of the Decoherent Histories Approach to Quantum Mechanics
- Decoherence and the rate of entropy production in chaotic quantum systems
- How complex is the quantum motion?
- Decoherence for classically chaotic quantum maps
- Entropy and Quantum Kolmogorov Complexity: A Quantum Brudno's Theorem
- Parameter scaling in the decoherent quantum-classical transition for chaotic systems
- Coarse-Grained Probabilistic Automata Mimicking Chaotic Systems
- Complexity of Quantum States and Reversibility of Quantum Motion
- Quantum dynamical entropy and decoherence rate
- Quantum bounds on the generalized Lyapunov exponents
- Quantum Algorithmic Integrability: The Metaphor of Polygonal Billiards
- The Multiparticle Quantum Arnol'd Cat: a test case for the decoherence approach to quantum chaos