Piecewise Deterministic Quantum Dynamics and Quantum Fractals on the Poincare Disk
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
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