Quantum Trajectories and Measurements in Continuous Time
The Diffusive Case
(Sprache: Englisch)
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.
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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.
Inhaltsverzeichnis zu „Quantum Trajectories and Measurements in Continuous Time “
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.
Bibliographische Angaben
- Autoren: Alberto Barchielli , Matteo Gregoratti
- 2011, XIV, 325 Seiten, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3642242480
- ISBN-13: 9783642242489
Sprache:
Englisch
Pressezitat
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)
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