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The Theory of Open Quantum Systems (Paperback, New edition)
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The Theory of Open Quantum Systems (Paperback, New edition)
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This book treats the central physical concepts and mathematical
techniques used to investigate the dynamics of open quantum
systems. To provide a self-contained presentation the text begins
with a survey of classical probability theory and with an
introduction into the foundations of quantum mechanics with
particular emphasis on its statistical interpretation. The
fundamentals of density matrix theory, quantum Markov processes and
dynamical semigroups are developed. The most important master
equations used in quantum optics and in the theory of quantum
Brownian motion are applied to the study of many examples. Special
attention is paid to the theory of environment induced decoherence,
its role in the dynamical description of the measurement process
and to the experimental observation of decohering Schrodinger cat
states. The book includes the modern formulation of open quantum
systems in terms of stochastic processes in Hilbert space.
Stochastic wave function methods and Monte Carlo algorithms are
designed and applied to important examples from quantum optics and
atomic physics, such as Levy statistics in the laser cooling of
atoms, and the damped Jaynes-Cummings model. The basic features of
the non-Markovian quantum behaviour of open systems are examined on
the basis of projection operator techniques. In addition, the book
expounds the relativistic theory of quantum measurements and
discusses several examples from a unified perspective, e.g.
non-local measurements and quantum teleportation. Influence
functional and super-operator techniques are employed to study the
density matrix theory in quantum electrodynamics and applications
to the destruction of quantum coherence are presented. The text
addresses graduate students and lecturers in physics and applied
mathematics, as well as researchers with interests in fundamental
questions in quantum mechanics and its applications. Many
analytical methods and computer simulation techniques are developed
and illustrated with the help of numerous specific examples. Only a
basic understanding of quantum mechanics and of elementary concepts
of probability theory is assumed.
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