Quantum dynamical semigroups and applications / R. Alicki, K. Lendi.
Contributor(s): Lendi, K. (Karl)Material type: TextSeries: Lecture notes in physics: 286.Publisher: Berlin ; New York : Springer-Verlag, ©1987Description: 1 online resource (viii, 196 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540478553; 3540478558Subject(s): Irreversible processes | Quantum theory | Processus irréversibles | Théorie quantique | Irreversible processes | Quantum theory | Kwantummechanica | Semigroepen | Onomkeerbaarheid | Spectrometrie | Quantendynamische HalbgruppeGenre/Form: Electronic books. Additional physical formats: Print version:Alicki, R. (Robert), 1951-: Quantum dynamical semigroups and applications.DDC classification: 530.1/2 LOC classification: QC318.I7 | A45 1987Other classification: 33.23 | UD 8220 | PHY 012f Online resources: Click here to access online
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Includes bibliographical references (pages 191-196).
General Theory and Applications to Unstable Particles: General Theory: Introduction. Completely positive dynamical semigroups. Hamiltonian models and Markovian approximation. Extensions of the formalism. A system of N 2-level atoms -- Quantum Dynamical Semigroups for Unstable Particles: Introduction. Damped and Pumped Quantum Harmonic Oscillator. Models of unstable particles -- Appendices -- References -- N-Level Systems and Applications to Spectroscopy: Introduction. General structure of quantum Markovian master equations for N-level systems. Two-level systems: Generalized magnetic or optical Bloch-equations. Three-level systems. Comparison with common versions of master equations. Open quantum systems with non-constant relaxation in time-dependent external fields. Determination of relaxation parameters from first principles. Entropy and irreversibility. Conclusion -- Appendices -- References.
In this text the authors develop quantum dynamics of open systems for a wide class of irreversible processes starting from the concept of completely positive semigroups. This unified approach makes the material easily accessible to non-specialists and provides an easy access to practical applications. Written for graduate students, the book presents a wealth of useful examples; in particular, models of unstable and N-level systems are treated systematically and in considerable detail including new types of generated Bloch-equations. The general theory is extensively summarized from abstract dynamical maps to those obtained by a reduction of Hamiltonian dynamics under a Markovian approximation. Various methods of determining semigroup generators and the corresponding master equations are discussed including time-dependent and nonlinear generators. Further topics treated are a generalized H-theorem, quantum detailed balance and return to equilibrium, discrete quantum Boltzmann equation, nonlinear Schrdinger equation, spin relaxation by spin waves, entropy production and its generalization by a measure of irreversibiblity.
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