Alberto Barchielli, Matteo Gregoratti

Quantum Trajectories and Measurements in Continuous Time

The Diffusive Case

• Broschiertes Buch

Produktbeschreibung

This course-based monograph introduces the theory of continuous measurements in quantum mechanics and provides some benchmark applications. The approach chosen, quantum trajectory theory, is based on the stochastic Schrödinger and master equations.

Produktdetails

• Lecture Notes in Physics 782
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-642-24248-9
• 2009
• Seitenzahl: 340
• Erscheinungstermin: 29. November 2011
• Englisch
• Abmessung: 235mm x 155mm x 19mm
• Gewicht: 515g
• ISBN-13: 9783642242489
• ISBN-10: 3642242480
• Artikelnr.: 34635507

Inhaltsangabe

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 and Symbols.- Index.

Rezensionen

From the reviews:

"This quite interesting book is devoted to the theory of continuous measurements in quantum mechanics. ... aimed at both mathematicians and physicists, keeping together mathematical rigor and physical motivation. ... The presentation ends with two very well written and useful appendixes, providing a brief and self-contained introduction to stochastic differential equations as well as the general formulation of quantum mechanics. ... these two appendixes are meant to help the physicists or the mathematicians which are not confident with the formalism or the physical interpretation, respectively." (Bassano Vacchini, Zentralblatt MATH, Vol. 1182, 2010)

"This monograph is intended principally for researchers in theoretical quantum optics and related fields. ... The book is well structured and the presentation is excellent. The mathematics is developed rigorously and without compromise: the physical interpretation is always kept to the fore. ... Anyone interested in quantum trajectory theory will find this work a most useful introduction." (Alexander C. R. Belton, Mathematical Reviews, January, 2013)