Information-theoretic characterization of quantum chaos.

Information-entropy trade-off for random vectors

The results here are based on formulae in the two appendices in R. Schack, C. M. Caves, and G. M. D’Ariano, “Hypersensitivity to perburbation in the quantum kicked top,” Phys. Rev. E 50, 972–987 (1994). The relevant equations in the two appendices are (A18) and (B5)–(B6). A preliminary version of the analysis here can be found at the end of Sec. V of R. Schack and C. M. Caves, “Information-theo...

Hypersensitivity to perturbation: An information-theoretical characterization of classical and quantum chaos

Hypersensitivity to perturbation is a criterion for chaos based on the question of how much information about a perturbing environment is needed to keep the entropy of a Hamiltonian system from increasing. In this paper we give a brief overview of our work on hypersensitivity to perturbation in classical and quantum systems.

Ergodic Theoretic Characterization of Left Amenable Lau Algebras

Investigation of strong force influence on behavior of nuclear energy levels in Calcium and Titanium isotopes: Based on quantum chaos theory

The atomic nucleus is a complex many-body system that consists of two types of fermion (neutron and proton). They are in the strong interaction. The statistical properties of energy levels and influence of strong force between these fermions are well described by random matrix theory. Resonance of energy levels depends on the Hamiltonian symmetry placed in one of the GOE, GUE and GSE ensembles ...

Quantum Chaos? Genericity and Nongenericity in the MHD Spectrum of Nonaxisymmetric Toroidal Plasmas

The eigenmode spectrum is a fundamental starting point for the analysis of plasma stability and the onset of turbulence, but the characterization of the spectrum even for the simplest plasma model, ideal magnetohydrodynamics (MHD), is not fully understood. This is especially true in configurations with no continuous geometric symmetry, such as in a real tokamak when the discrete nature of the e...