Open quantum systems. I / Attal, Stéphane

Public ISBD Titre : Open quantum systems. I : The Hamiltonian approach Type de document : texte imprimé Auteurs : Attal, Stéphane Editeur : Springer Année de publication : 2006 Importance : 1 vol. (329 p.) Format : 24cm ISBN/ISSN/EAN : 978-3-540-30991-8 Note générale : 978-3-540-30991-8 Langues : Anglais (eng) Catégories : Physique Mots-clés : Systèmes ouverts (physique) Théorie quantique Index. décimale : 530 Physique Résumé : Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements. Note de contenu : Sommaire ntroduction to the Theory of Linear Operators Introduction to Quantum Statistical Mechanics Elements of Operator Algebras and Modular Theory Quantum Dynamical System The Ideal Quantum Gas Côte titre : Fs/14079-14080 Open quantum systems. I : The Hamiltonian approach [texte imprimé] / Attal, Stéphane . - [S.l.] : Springer, 2006 . - 1 vol. (329 p.) ; 24cm. ISBN : 978-3-540-30991-8 978-3-540-30991-8 Langues : Anglais (eng) Catégories : Physique Mots-clés : Systèmes ouverts (physique) Théorie quantique Index. décimale : 530 Physique Résumé : Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements. Note de contenu : Sommaire ntroduction to the Theory of Linear Operators Introduction to Quantum Statistical Mechanics Elements of Operator Algebras and Modular Theory Quantum Dynamical System The Ideal Quantum Gas Côte titre : Fs/14079-14080

Exemplaires (2)

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Fs/14080	Fs/14079-14080	livre	Bibliothéque des sciences	Anglais	Disponible Disponible

Open quantum systems. II / Attal, Stéphane

Public ISBD Titre : Open quantum systems. II : The Markovian approach Type de document : texte imprimé Auteurs : Attal, Stéphane Editeur : Springer Année de publication : 2006 Importance : 1 vol. (239 p.) Format : 24 cm ISBN/ISSN/EAN : 978-3-540-30992-5 Note générale : 978-3-540-30992-5 Langues : Anglais (eng) Catégories : Physique Mots-clés : Systèmes ouverts (physique) Théorie quantique Index. décimale : 530 Physique Résumé : Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements. Note de contenu : Sommaire Ergodic Properties of Markov Processes Preview Buy Chapter Open Classical System Preview Buy Chapter Quantum Noises Preview Buy Chapter Complete Positivity and the Markov structure of Open Quantum Systems Rebolledo, Rolando Preview Buy Chapter Quantum Stochastic Differential Equations and Dilation of Completely Positive Semigroups Preview Buy Chapter Read this book on SpringerLink Download Table of contents PDF link to C.-A. Pillet link to S. Attal Côte titre : Fs/14081-14082 Open quantum systems. II : The Markovian approach [texte imprimé] / Attal, Stéphane . - [S.l.] : Springer, 2006 . - 1 vol. (239 p.) ; 24 cm. ISBN : 978-3-540-30992-5 978-3-540-30992-5 Langues : Anglais (eng) Catégories : Physique Mots-clés : Systèmes ouverts (physique) Théorie quantique Index. décimale : 530 Physique Résumé : Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves a large body of knowledge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena. They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction to quantum statistical mechanics and its operator algebraic formulation, modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantum open systems. A complete exposition of noise theory, Markov processes and stochastic differential equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physical motivations and applications. Volume III is devoted to recent developments and applications. The topics discussed include the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantum irreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements. Note de contenu : Sommaire Ergodic Properties of Markov Processes Preview Buy Chapter Open Classical System Preview Buy Chapter Quantum Noises Preview Buy Chapter Complete Positivity and the Markov structure of Open Quantum Systems Rebolledo, Rolando Preview Buy Chapter Quantum Stochastic Differential Equations and Dilation of Completely Positive Semigroups Preview Buy Chapter Read this book on SpringerLink Download Table of contents PDF link to C.-A. Pillet link to S. Attal Côte titre : Fs/14081-14082

Exemplaires (2)

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Fs/14081	Fs/14081-14082	livre	Bibliothéque des sciences	Anglais	Disponible Disponible
Fs/14082	Fs/14081-14082	livre	Bibliothéque des sciences	Anglais	Disponible Disponible

Open quantum systems. III / Attal, Stéphane

Public ISBD Titre : Open quantum systems. III : Recent developments Type de document : texte imprimé Auteurs : Attal, Stéphane Editeur : Springer Année de publication : 2006 Importance : 1 vol. (310 p.) Format : 24 cm ISBN/ISSN/EAN : 978-3-540-30993-2 Note générale : 978-3-540-30993-2 Langues : Anglais (eng) Catégories : Physique Mots-clés : physique Systèmes ouverts (physique) Théorie quantique Index. décimale : 530 Physique Résumé : Sommaire Topics in NonEquilibrium Quantum Statistical Mechanics Contents of Volume II Contents of Volume I Brownian Motion Open Quantum Systems Control Theory and Irreducibility Free Fermi Gas Reservoir Stones Theorem Mean Ergodic Theorem and Trotter Formula Review of Decoherence Effects in Infinite Spin Systems Bibliographical comments Dynamical Semigroups on CCR Algebras Outlook References franco fagnolapolimi Ergodic Theorems KMS State List of Contributors 32 The Simple Electronic BlackBox SEBB Model References Quantum Mechanics Thermodynamics of the SEBB Model FGR Thermodynamics of the SEBB Model the chain Boltzmann Gibbs Appendix Heat Flow and Entropy Production Jan Derezinski and Rafał Fruboes Two Applications of the Fermi Golden Rule Introduction Weak Coupling Limit Quantum Noises CPTCNRS UMR 6207 von Neumann algebras Modular theory Itˆo calculus on Fock space References Fermi Golden Rule for a Composite Reservoir Quantum stochastic calculus References Classical Systems The Asymptotic Decomposition of T Quantum Systems The Existence of Stationary States References References Quantum Stochastic Differential Equations and Dilation of Completely Faithful Stationary States and Irreducibility Unitary solutions Recurrence and Transience of Quantum Markov Semigroups The CCR and CAR algebras Regularity References Alberto Barchielli Unitary Evolution and States ArakiWoods representation of the infinite free Boson gas The right equation with unbounded F Continual Measurements References harmonic analysis A ThreeLevel Atom and the Shelving Effect Selfadjoint operators spectral theory A TwoLevel Atom and the Spectrum of the Fluorescence Light Referenes Spectral theory of rank one perturbations Contents of Volume I Contents of Volume II Fock space 185 Droits d'auteu Autres éditions - Tout afficher Note de contenu : This volume is the third and last of a series devoted to the lecture notes of the Grenoble Summer School on “Open Quantum Systems” which took place at the th th Institut Fourier from June 16 to July 4 2003. The contributions presented in this volumecorrespondtoexpanded versionsofthelecturenotesprovidedbytheauthors to the students of the Summer School. The corresponding lectures were scheduled in the last part of the School devoted to recent developments in the study of Open Quantum Systems. Whereas the rst two volumes were dedicated to a detailed exposition of the mathematical techniques and physical concepts relevant in the study of Open S- tems with noapriori pre-requisites, the contributions presented in this volume request from the reader some familiarity with these aspects. Indeed, the material presented here aims at leading the reader already acquainted with the basics in ? quantum statistical mechanics, spectral theory of linear operators,C -dynamical systems, and quantum stochastic differential equations to the front of the current research done on various aspects of Open Quantum Systems. Nevertheless, pe- gogical efforts have been made by the various authors of these notes so that this volume should be essentially self-contained for a reader with minimal previous - posure to the themes listed above. In any case, the reader in need of complements can always turn to these rst two volumes. The topics covered in these lectures notes start with an introduction to n- equilibrium quantum statistical mechanics Côte titre : Fs/14083-14084 Open quantum systems. III : Recent developments [texte imprimé] / Attal, Stéphane . - [S.l.] : Springer, 2006 . - 1 vol. (310 p.) ; 24 cm. ISBN : 978-3-540-30993-2 978-3-540-30993-2 Langues : Anglais (eng) Catégories : Physique Mots-clés : physique Systèmes ouverts (physique) Théorie quantique Index. décimale : 530 Physique Résumé : Sommaire Topics in NonEquilibrium Quantum Statistical Mechanics Contents of Volume II Contents of Volume I Brownian Motion Open Quantum Systems Control Theory and Irreducibility Free Fermi Gas Reservoir Stones Theorem Mean Ergodic Theorem and Trotter Formula Review of Decoherence Effects in Infinite Spin Systems Bibliographical comments Dynamical Semigroups on CCR Algebras Outlook References franco fagnolapolimi Ergodic Theorems KMS State List of Contributors 32 The Simple Electronic BlackBox SEBB Model References Quantum Mechanics Thermodynamics of the SEBB Model FGR Thermodynamics of the SEBB Model the chain Boltzmann Gibbs Appendix Heat Flow and Entropy Production Jan Derezinski and Rafał Fruboes Two Applications of the Fermi Golden Rule Introduction Weak Coupling Limit Quantum Noises CPTCNRS UMR 6207 von Neumann algebras Modular theory Itˆo calculus on Fock space References Fermi Golden Rule for a Composite Reservoir Quantum stochastic calculus References Classical Systems The Asymptotic Decomposition of T Quantum Systems The Existence of Stationary States References References Quantum Stochastic Differential Equations and Dilation of Completely Faithful Stationary States and Irreducibility Unitary solutions Recurrence and Transience of Quantum Markov Semigroups The CCR and CAR algebras Regularity References Alberto Barchielli Unitary Evolution and States ArakiWoods representation of the infinite free Boson gas The right equation with unbounded F Continual Measurements References harmonic analysis A ThreeLevel Atom and the Shelving Effect Selfadjoint operators spectral theory A TwoLevel Atom and the Spectrum of the Fluorescence Light Referenes Spectral theory of rank one perturbations Contents of Volume I Contents of Volume II Fock space 185 Droits d'auteu Autres éditions - Tout afficher Note de contenu : This volume is the third and last of a series devoted to the lecture notes of the Grenoble Summer School on “Open Quantum Systems” which took place at the th th Institut Fourier from June 16 to July 4 2003. The contributions presented in this volumecorrespondtoexpanded versionsofthelecturenotesprovidedbytheauthors to the students of the Summer School. The corresponding lectures were scheduled in the last part of the School devoted to recent developments in the study of Open Quantum Systems. Whereas the rst two volumes were dedicated to a detailed exposition of the mathematical techniques and physical concepts relevant in the study of Open S- tems with noapriori pre-requisites, the contributions presented in this volume request from the reader some familiarity with these aspects. Indeed, the material presented here aims at leading the reader already acquainted with the basics in ? quantum statistical mechanics, spectral theory of linear operators,C -dynamical systems, and quantum stochastic differential equations to the front of the current research done on various aspects of Open Quantum Systems. Nevertheless, pe- gogical efforts have been made by the various authors of these notes so that this volume should be essentially self-contained for a reader with minimal previous - posure to the themes listed above. In any case, the reader in need of complements can always turn to these rst two volumes. The topics covered in these lectures notes start with an introduction to n- equilibrium quantum statistical mechanics Côte titre : Fs/14083-14084

Exemplaires (2)

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Fs/14083	Fs/14083-14084	livre	Bibliothéque des sciences	Anglais	Disponible Disponible
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