[图书][B] Dynamics, information and complexity in quantum systems

F Benatti - 2009 - Springer
Focus of the first edition of this book was quantum dynamics in connection with correlations
as carriers of information and entropy as a measure of information. In the same spirit, this …

Entropy of eigenfunctions

N Anantharaman, H Koch, S Nonnenmacher - New Trends in Mathematical …, 2009 - Springer
We study the high-energy limit for eigenfunctions of the Laplacian, on a compact negatively
curved manifold. We review the recent result of Anantharaman–Nonnenmacher (Ann. Inst …

Universality of spectra for interacting quantum chaotic systems

W Bruzda, M Smaczyński, V Cappellini… - Physical Review E …, 2010 - APS
We analyze a model quantum dynamical system subjected to periodic interaction with an
environment, which can describe quantum measurements. Under the condition of strong …

Quantum dynamical entropy and decoherence rate

R Alicki, A Łoziński, P Pakoński… - Journal of Physics A …, 2004 - iopscience.iop.org
We investigate quantum dynamical systems defined on a finite-dimensional Hilbert space
and subjected to an interaction with an environment. The rate of decoherence of initially …

Continuous limit of discrete sawtooth maps and its algebraic framework

F Benatti, V Cappellini - Journal of mathematical physics, 2005 - pubs.aip.org
We study the presence of a logarithmic time scale in discrete approximations of sawtooth
maps on the 2-torus. The techniques used are suggested by quantum mechanical …

Relaxation time of quantized toral maps

A Fannjiang, S Nonnenmacher, L Wołowski - Annales Henri Poincaré, 2006 - Springer
We introduce the notion of relaxation time for noisy quantum maps on the 2 d-dimensional
torus–generalization of previously studied dissipation time. We show that the relaxation time …

Quantum dynamical entropies and complexity in dynamical systems

V Cappellini - arXiv preprint math-ph/0403035, 2004 - arxiv.org
We analyze the behaviour of two quantum dynamical entropies in connection with the
classical limit. Using strongly chaotic classical dynamical systems as models (Arnold Cat …

A survey on the classical limit of quantum dynamical entropies

V Cappellini - arXiv preprint arXiv:0708.2779, 2007 - arxiv.org
We analyze the behavior of quantum dynamical entropies production from sequences of
quantum approximants approaching their (chaotic) classical limit. The model of the …

Quantum dynamical entropies for discrete classical systems: a comparison

V Cappellini - Journal of Physics A: Mathematical and General, 2005 - iopscience.iop.org
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 …

[PDF][PDF] Decoherence and noise in Loschmidt echo experiments

R Alicki, W Miklaszewski… - Acta Physica Polonica …, 2006 - bibliotekanauki.pl
We discuss some recent results concerning the decoherence in controlled quantum open
systems within the mathematical setting corresponding to motion reversal experiments (the …