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Record Nr. |
UNISA996466683203316 |
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Autore |
Alicki Robert |
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Titolo |
Quantum Dynamical Semigroups and Applications [[electronic resource] /] / by Robert Alicki, Karl Lendi |
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Pubbl/distr/stampa |
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Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1987 |
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ISBN |
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Edizione |
[1st ed. 1987.] |
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Descrizione fisica |
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1 online resource (VIII, 198 p. 1 illus.) |
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Collana |
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Lecture Notes in Physics, , 0075-8450 ; ; 286 |
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Disciplina |
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Soggetti |
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Physics |
Quantum computers |
Spintronics |
Quantum physics |
Physical chemistry |
Mathematical Methods in Physics |
Numerical and Computational Physics, Simulation |
Quantum Information Technology, Spintronics |
Quantum Physics |
Physical Chemistry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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Contents: 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 |
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principles. Entropy and irreversibility. Conclusion -- Appendices -- References. |
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Sommario/riassunto |
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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 Schrödinger equation, spin relaxation by spin waves, entropy production and its generalization by a measure of irreversibiblity. |
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