Year: 2005
Type: article
Abstract: On a family of classical dynamical systems on the 2-torus, we perform a discretization procedure similar to the anti-Wick quantization. Such a discretization is performed by using a particular class of states, fulfilling an appropriate dynamical localization property, typical of quantum coherent states. The same set of states is involved in the construction of a quantum entropy, that we test on the discrete approximants; a correspondence with the classical metric entropy of Kolmogorov–Sinai is found only over time scales that are logarithmic in the discretization parameter.
Author: Valerio Cappellini
Institution: University of Trieste
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1991624036