Quantum Dynamical Semigroups and Applications

di Robert Alicki (Autore)

K. Lendi (Autore)

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2014

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.

• Autore: Robert Alicki, K. Lendi
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Collana: Lecture Notes in Physics
• Anno: 2014
• Rilegatura: Paperback / softback
• Pagine: 198 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783662136218

Testo in English