Dissipative Quantum Chaos and Decoherence provides an overview of
the state of the art of research in this exciting field. The main
emphasis is on the development of a semiclassical formalism that
allows one to incorporate the effect of dissipation and decoherence
in a precise, yet tractable way into the quantum mechanics of
classically chaotic systems. The formalism is employed to reveal
how the spectrum of the quantum mechanical propagator of a density
matrix is determined by the spectrum of the corresponding classical
propagator of phase space density. Simple quantum--classical hybrid
formulae for experimentally relevant correlation functions and
time-dependent expectation values of observables are derived. The
problem of decoherence is treated in detail, and highly unexpected
cases of very slow decoherence are revealed, with important
consequences for the long-debated realizability of Schrodinger cat
states as well as for the construction of quantum computers."
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