Quantum trajectories and measurements in continuous time: the diffusive case

First, the basic equations of quantum trajectory theory are introduced, with all their mathematical properties, starting from the existence and uniqueness of their solutions. This makes the text also suitable for other applications of the same stochastic differential equations in different fields such as simulations of master equations or dynamical reduction theories. In the next step the equivalence between the stochastic approach and the theory of continuous measurements is demonstrated. To conclude the theoretical exposition, the properties of the output of the continuous measurement are analyzed in detail. This is a stochastic process with its own distribution, and the reader will learn how to compute physical quantities such as its moments and its spectrum. In particular this last concept is introduced with clear and explicit reference to the measurement process. INDICE: Introduction.- The Stochastic Schrödinger Equation.- The Stochastic Master Equation: Part I.- Continuous Measurements and Instruments.- The Stochastic Master Equation: Part II.- Mutual Entropies and Information Gain in Quantum Continuous Measurements.- Quantum Optical Systems.- A Two-Level Atom: General Setup.- A Two-Level Atom: Heterodyne and Homodyne Spectra.- Feedback.- Ordinary SDE's.- Some Notions on Quantum Mechanics.- References.- Acronyms &Symbols.- Index.

• ISBN: 978-3-642-01297-6
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 310
• Fecha Publicación: 01/07/2009
• Nº Volúmenes: 1
• Idioma: Inglés