Quantum Trajectories and Measurements in Continuous Time : The Diffusive Case
This course-based monograph introduces the reader to 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, which determine the evolution of the...
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| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2009. |
| سلاسل: | Lecture Notes in Physics
782 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Quantum trajectories and measurements in continuous time, the diffusive case, A. Barchielli, M. Gregoratti, Berlin, Springer, 2009, 1 vol. (XIV-325 p.), Lecture notes in physics, 978-3-642-01297-6 • Quantum Trajectories and Measurements in Continuous Time, Texte imprimé, 9783642012990 • Quantum Trajectories and Measurements in Continuous Time, Texte imprimé, 9783642242489 • Quantum trajectories and measurements in continuous time, the diffusive case, A. Barchielli, M. Gregoratti, Berlin, Springer, 2009, 1 vol. (XIV-325 p.), Lecture notes in physics, 978-3-642-01297-6 • Quantum Trajectories and Measurements in Continuous Time, Texte imprimé, 9783642012990 • Quantum Trajectories and Measurements in Continuous Time, Texte imprimé, 9783642242489 • Quantum trajectories and measurements in continuous time, the diffusive case, A. Barchielli, M. Gregoratti, Berlin, Springer, 2009, 1 vol. (XIV-325 p.), Lecture notes in physics, 978-3-642-01297-6 |
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| 100 | 1 | |a Barchielli, Alberto. | |
| 245 | 1 | 0 | |a Quantum Trajectories and Measurements in Continuous Time : |b The Diffusive Case |c by Alberto Barchielli, Matteo Gregoratti. |
| 250 | |a 1st ed. 2009. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Physics |v 782 |x 1616-6361 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a I General theory 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 II Physical applications Quantum Optical Systems A Two-Level Atom: General Setup A Two-Level Atom: Heterodyne and Homodyne Spectra Feedback | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This course-based monograph introduces the reader to 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, which determine the evolution of the a-posteriori state of a continuously observed quantum system and give the distribution of the measurement output. The present introduction is restricted to finite-dimensional quantum systems and diffusive outputs. Two appendices introduce the tools of probability theory and quantum measurement theory which are needed for the theoretical developments in the first part of the book. 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. The two-level atom is used as the basic prototype to illustrate the theory in a concrete application. Quantum phenomena appearing in the spectrum of the fluorescence light, such as Mollow s triplet structure, squeezing of the fluorescence light, and the linewidth narrowing, are presented. Last but not least, the theory of quantum continuous measurements is the natural starting point to develop a feedback control theory in continuous time for quantum systems. The two-level atom is again used to introduce and study an example of feedback based on the observed output | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Équation de Schrödinger | ||
| 650 | |a Optique quantique | ||
| 650 | |a Physique | ||
| 650 | |a Physique mathématique | ||
| 700 | 1 | |a Gregoratti, Matteo. |4 aut | |
| 776 | 0 | |0 138899002 |t Quantum trajectories and measurements in continuous time |o the diffusive case |f A. Barchielli, M. Gregoratti |c Berlin |n Springer |d 2009 |p 1 vol. (XIV-325 p.) |s Lecture notes in physics |z 978-3-642-01297-6 | |
| 776 | 0 | |t Quantum Trajectories and Measurements in Continuous Time |b Texte imprimé |z 9783642012990 | |
| 776 | 0 | |t Quantum Trajectories and Measurements in Continuous Time |b Texte imprimé |z 9783642242489 | |
| 776 | 0 | |0 138899002 |t Quantum trajectories and measurements in continuous time |o the diffusive case |f A. Barchielli, M. Gregoratti |c Berlin |n Springer |d 2009 |p 1 vol. (XIV-325 p.) |s Lecture notes in physics |z 978-3-642-01297-6 | |
| 776 | 0 | |t Quantum Trajectories and Measurements in Continuous Time |b Texte imprimé |z 9783642012990 | |
| 776 | 0 | |t Quantum Trajectories and Measurements in Continuous Time |b Texte imprimé |z 9783642242489 | |
| 776 | 0 | |0 138899002 |t Quantum trajectories and measurements in continuous time |o the diffusive case |f A. Barchielli, M. Gregoratti |c Berlin |n Springer |d 2009 |p 1 vol. (XIV-325 p.) |s Lecture notes in physics |z 978-3-642-01297-6 | |
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