Piecewise Deterministic Quantum Dynamics and Quantum Fractals on the Poincare Disk
Chaotic Dynamics
2009-11-10 v2 Probability
Quantum Physics
Abstract
It is shown that piecewise deterministic dissipative quantum dynamics in a vector space with indefinite metric can lead to well defined, positive probabilities. The case of quantum jumps on the Poincar'e disk is studied in details, including results of numerical simulations of quantum fractals. Keywords: iterated function systems, dynamical semigroups, EEQT, indefinite metric, quantum jumps, quantum measurement, non-commuting observables, fractals, Poincare disk
Cite
@article{arxiv.nlin/0312046,
title = {Piecewise Deterministic Quantum Dynamics and Quantum Fractals on the Poincare Disk},
author = {Arkadiusz Jadczyk},
journal= {arXiv preprint arXiv:nlin/0312046},
year = {2009}
}
Comments
Added Concluding Remarks, improved figure captions, updated references. 16 pages, 3 figures, Latex