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Quantum interacting particle systems [[electronic resource] ] : lecture notes of the Volterra-CIRM International School, Trento, Italy, 23-29 September 2000 / / edited by Luigi Accardi, Franco Fagnola
| Quantum interacting particle systems [[electronic resource] ] : lecture notes of the Volterra-CIRM International School, Trento, Italy, 23-29 September 2000 / / edited by Luigi Accardi, Franco Fagnola |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific Pub., c2002 |
| Descrizione fisica | 1 online resource (356 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) |
AccardiL <1947-> (Luigi)
FagnolaFranco |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
Quantum theory
Hamiltonian systems Stochastic processes Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-685-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Lectures on Quantum Interacting Particle Systems ; 1.0 Introduction ; 1.1 Basic ideas of the stochastic limit ; 1.1.1 Quantum dynamics and flows ; 1.1.2 The stochastic golden rule: general scheme ; 1.1.3 Discrete spectrum systems
1.1.4 Quantum fields and white noises 1.1.5 Dipole interaction Hamiltonians ; 1.1.6 The stochastic golden rule ; 1.1.7 The Langevin equation ; 1.1.8 The quantum Feynman-Kac formula: master equation ; 1.1.9 Subalgebras invariant under the generator 1.1.10 Structure of the invariant states 1.1.11 The Langevin equation: generic systems ; 1.1.12 Appendix: Two-level system and Boltzmannian (or free) statistics ; 1.1.13 Appendix: Structure of discrete spectrum quantum dynamical systems 1.1.14 Appendix: Spectral theory for Heisenberg evolutions 1.1.15 The Langevin equation for the density matrix ; 1.1.16 The master equation for reduced density matrix ; 1.1.17 Structure of the invariant states ; 1.1.18 Evolution of the diagonal and off-diagonal elements 1.1.19 Stationary states of the reduced evolution 1.1.20 Evolution of density matrix in the generic case ; 1.1.21 Decoherence: vanishing of off-diagonal terms ; 1.1.22 Discussion of decoherence ; 1.1.23 Classical detailed balance ; 1.1.24 A Lyapunov function for the reduced dynamics 1.1.25 Non-detailed balance stationary state for a system driven by master equation |
| Record Nr. | UNINA-9910458075503321 |
| River Edge, N.J., : World Scientific Pub., c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum interacting particle systems [[electronic resource] ] : lecture notes of the Volterra-CIRM International School, Trento, Italy, 23-29 September 2000 / / edited by Luigi Accardi, Franco Fagnola
| Quantum interacting particle systems [[electronic resource] ] : lecture notes of the Volterra-CIRM International School, Trento, Italy, 23-29 September 2000 / / edited by Luigi Accardi, Franco Fagnola |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific Pub., c2002 |
| Descrizione fisica | 1 online resource (356 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) |
AccardiL <1947-> (Luigi)
FagnolaFranco |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
Quantum theory
Hamiltonian systems Stochastic processes Mathematical physics |
| ISBN | 981-277-685-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Lectures on Quantum Interacting Particle Systems ; 1.0 Introduction ; 1.1 Basic ideas of the stochastic limit ; 1.1.1 Quantum dynamics and flows ; 1.1.2 The stochastic golden rule: general scheme ; 1.1.3 Discrete spectrum systems
1.1.4 Quantum fields and white noises 1.1.5 Dipole interaction Hamiltonians ; 1.1.6 The stochastic golden rule ; 1.1.7 The Langevin equation ; 1.1.8 The quantum Feynman-Kac formula: master equation ; 1.1.9 Subalgebras invariant under the generator 1.1.10 Structure of the invariant states 1.1.11 The Langevin equation: generic systems ; 1.1.12 Appendix: Two-level system and Boltzmannian (or free) statistics ; 1.1.13 Appendix: Structure of discrete spectrum quantum dynamical systems 1.1.14 Appendix: Spectral theory for Heisenberg evolutions 1.1.15 The Langevin equation for the density matrix ; 1.1.16 The master equation for reduced density matrix ; 1.1.17 Structure of the invariant states ; 1.1.18 Evolution of the diagonal and off-diagonal elements 1.1.19 Stationary states of the reduced evolution 1.1.20 Evolution of density matrix in the generic case ; 1.1.21 Decoherence: vanishing of off-diagonal terms ; 1.1.22 Discussion of decoherence ; 1.1.23 Classical detailed balance ; 1.1.24 A Lyapunov function for the reduced dynamics 1.1.25 Non-detailed balance stationary state for a system driven by master equation |
| Record Nr. | UNINA-9910784512903321 |
| River Edge, N.J., : World Scientific Pub., c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum interacting particle systems : lecture notes of the Volterra-CIRM International School, Trento, Italy, 23-29 September 2000 / / edited by Luigi Accardi, Franco Fagnola
| Quantum interacting particle systems : lecture notes of the Volterra-CIRM International School, Trento, Italy, 23-29 September 2000 / / edited by Luigi Accardi, Franco Fagnola |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific Pub., c2002 |
| Descrizione fisica | 1 online resource (356 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) |
AccardiL <1947-> (Luigi)
FagnolaFranco |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
Quantum theory
Hamiltonian systems Stochastic processes Mathematical physics |
| ISBN | 981-277-685-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Chapter 1 Lectures on Quantum Interacting Particle Systems ; 1.0 Introduction ; 1.1 Basic ideas of the stochastic limit ; 1.1.1 Quantum dynamics and flows ; 1.1.2 The stochastic golden rule: general scheme ; 1.1.3 Discrete spectrum systems
1.1.4 Quantum fields and white noises 1.1.5 Dipole interaction Hamiltonians ; 1.1.6 The stochastic golden rule ; 1.1.7 The Langevin equation ; 1.1.8 The quantum Feynman-Kac formula: master equation ; 1.1.9 Subalgebras invariant under the generator 1.1.10 Structure of the invariant states 1.1.11 The Langevin equation: generic systems ; 1.1.12 Appendix: Two-level system and Boltzmannian (or free) statistics ; 1.1.13 Appendix: Structure of discrete spectrum quantum dynamical systems 1.1.14 Appendix: Spectral theory for Heisenberg evolutions 1.1.15 The Langevin equation for the density matrix ; 1.1.16 The master equation for reduced density matrix ; 1.1.17 Structure of the invariant states ; 1.1.18 Evolution of the diagonal and off-diagonal elements 1.1.19 Stationary states of the reduced evolution 1.1.20 Evolution of density matrix in the generic case ; 1.1.21 Decoherence: vanishing of off-diagonal terms ; 1.1.22 Discussion of decoherence ; 1.1.23 Classical detailed balance ; 1.1.24 A Lyapunov function for the reduced dynamics 1.1.25 Non-detailed balance stationary state for a system driven by master equation |
| Record Nr. | UNINA-9910815819303321 |
| River Edge, N.J., : World Scientific Pub., c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum probability and related topics [[electronic resource] ] : proceedings of the 32nd conference, Levico Terme, Italy, 29 May - 2 June 2011 / / edited by Luigi Accardi (University of Rome II, Tor Vergata, Italy) & Franco Fagnola (Politecnico di Milano, Italy)
| Quantum probability and related topics [[electronic resource] ] : proceedings of the 32nd conference, Levico Terme, Italy, 29 May - 2 June 2011 / / edited by Luigi Accardi (University of Rome II, Tor Vergata, Italy) & Franco Fagnola (Politecnico di Milano, Italy) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 530.1201/5192 |
| Altri autori (Persone) |
AccardiL <1947-> (Luigi)
FagnolaFranco |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
Probabilities
Quantum theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-299-28115-X
981-4447-54-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Central Extension of Virasoro Type Subalgebras of the Zamolodchikov-w1 Lie Algebra L. Accardi and A. Boukas; 1. Introduction; 2. Closed subalgebras of w; 3. Abelian sub-algebras of w; 4. Basic facts on central extensions of Lie algebras; 5. Central extensions of wN; References; Entanglement Protection and Generation Under Continuous Monitoring A. Barchielli and M. Gregoratti; 1. Introduction; 1.1. Two qubits; 1.2. Concurrence; 2. Global evolution and continuous measurements; 2.1. HP evolutions; 2.2. From the HP-equation to the SSE
2.3. Interacting and non-interacting subsystems3. No direct or indirect interaction; 3.1. The a posteriori concurrence; 3.2. Only local detection operators; 3.2.1. Diffusive case; 3.2.2. Jump case; 3.3. An example with general detection operators; 3.3.1. Concurrence of the a priori state; 3.3.2. Local detection operators; 3.3.3. Non local detection operators; 4. An example with indirect interaction; References; Completely Positive Transformations of Quantum Operations G. Chiribella, A. Toigo and V. Umanita; 1. Introduction; 2. Notations and preliminary results 2.1. Increasing sequences of normal CP maps2.2. Tensor product of weak*-continuous CB maps; 3. Quantum supermaps; 4. Dilation of deterministic and probabilistic supermaps; 4.1. Sketch of the proof of Theorem 4.1; 5. An application of Theorem 4.1: Transforming a quantum measurement into a quantum channel; 6. Superinstruments; 7. Application of Theorem 6.1: Measuring a measurement; 7.1. Outcome statistics for a measurement on a measuring device; 7.2. Tranformations of measuring devices induced by a higher-order measurement; Acknowledgements; References Invariant Operators in Schr odinger Setting V.K. Dobrev1. Introduction; 2. Preliminaries; 3. Choice of bulk and boundary; 4. Boundary-to-bulk correspondence; 5. Singular vectors and invariant differential equations; 5.1. Singular vectors; 5.2. Generalized Schrodinger equations from a vector-field realization of the Schrodinger algebra; 5.3. Generalized Schrodinger equations in the bulk; Acknowledgments; References; Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems F. Fagnola and L. Pantale on Martinez; 1. Introduction; 2. Open quantum system models 3. G1 generates a semigroup4. G generates a semigroup; References; Quantum Observables on a Completely Simple Semigroup Ph. Feinsilver; 1. Introduction; 1.1. Notations; 2. Probability measures on finite semigroups; 2.1. Invariant measures on the kernel; 3. Graphs, semigroups, and dynamical systems; 4. Tensor hierarchy; 4.1. The degree 2 component of V; 4.2. Basic Identities; 4.3. Trace Identities; 4.4. Convergence to tensor hierarchy; 5. The principal observables: M and N operators; 5.1. Graph-theoretic context; 5.2. Level 2 of the tensor hierarchy; 5.2.1. M and N operators 5.2.2. Diagonal of N N |
| Record Nr. | UNINA-9910465411903321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum probability and related topics [[electronic resource] ] : proceedings of the 32nd conference, Levico Terme, Italy, 29 May - 2 June 2011 / / edited by Luigi Accardi (University of Rome II, Tor Vergata, Italy) & Franco Fagnola (Politecnico di Milano, Italy)
| Quantum probability and related topics [[electronic resource] ] : proceedings of the 32nd conference, Levico Terme, Italy, 29 May - 2 June 2011 / / edited by Luigi Accardi (University of Rome II, Tor Vergata, Italy) & Franco Fagnola (Politecnico di Milano, Italy) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 530.1201/5192 |
| Altri autori (Persone) |
AccardiL <1947-> (Luigi)
FagnolaFranco |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
Probabilities
Quantum theory |
| ISBN |
1-299-28115-X
981-4447-54-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Central Extension of Virasoro Type Subalgebras of the Zamolodchikov-w1 Lie Algebra L. Accardi and A. Boukas; 1. Introduction; 2. Closed subalgebras of w; 3. Abelian sub-algebras of w; 4. Basic facts on central extensions of Lie algebras; 5. Central extensions of wN; References; Entanglement Protection and Generation Under Continuous Monitoring A. Barchielli and M. Gregoratti; 1. Introduction; 1.1. Two qubits; 1.2. Concurrence; 2. Global evolution and continuous measurements; 2.1. HP evolutions; 2.2. From the HP-equation to the SSE
2.3. Interacting and non-interacting subsystems3. No direct or indirect interaction; 3.1. The a posteriori concurrence; 3.2. Only local detection operators; 3.2.1. Diffusive case; 3.2.2. Jump case; 3.3. An example with general detection operators; 3.3.1. Concurrence of the a priori state; 3.3.2. Local detection operators; 3.3.3. Non local detection operators; 4. An example with indirect interaction; References; Completely Positive Transformations of Quantum Operations G. Chiribella, A. Toigo and V. Umanita; 1. Introduction; 2. Notations and preliminary results 2.1. Increasing sequences of normal CP maps2.2. Tensor product of weak*-continuous CB maps; 3. Quantum supermaps; 4. Dilation of deterministic and probabilistic supermaps; 4.1. Sketch of the proof of Theorem 4.1; 5. An application of Theorem 4.1: Transforming a quantum measurement into a quantum channel; 6. Superinstruments; 7. Application of Theorem 6.1: Measuring a measurement; 7.1. Outcome statistics for a measurement on a measuring device; 7.2. Tranformations of measuring devices induced by a higher-order measurement; Acknowledgements; References Invariant Operators in Schr odinger Setting V.K. Dobrev1. Introduction; 2. Preliminaries; 3. Choice of bulk and boundary; 4. Boundary-to-bulk correspondence; 5. Singular vectors and invariant differential equations; 5.1. Singular vectors; 5.2. Generalized Schrodinger equations from a vector-field realization of the Schrodinger algebra; 5.3. Generalized Schrodinger equations in the bulk; Acknowledgments; References; Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems F. Fagnola and L. Pantale on Martinez; 1. Introduction; 2. Open quantum system models 3. G1 generates a semigroup4. G generates a semigroup; References; Quantum Observables on a Completely Simple Semigroup Ph. Feinsilver; 1. Introduction; 1.1. Notations; 2. Probability measures on finite semigroups; 2.1. Invariant measures on the kernel; 3. Graphs, semigroups, and dynamical systems; 4. Tensor hierarchy; 4.1. The degree 2 component of V; 4.2. Basic Identities; 4.3. Trace Identities; 4.4. Convergence to tensor hierarchy; 5. The principal observables: M and N operators; 5.1. Graph-theoretic context; 5.2. Level 2 of the tensor hierarchy; 5.2.1. M and N operators 5.2.2. Diagonal of N N |
| Record Nr. | UNINA-9910792055403321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Quantum probability and related topics : proceedings of the 32nd conference, Levico Terme, Italy, 29 May - 2 June 2011 / / edited by Luigi Accardi (University of Rome II, Tor Vergata, Italy) & Franco Fagnola (Politecnico di Milano, Italy)
| Quantum probability and related topics : proceedings of the 32nd conference, Levico Terme, Italy, 29 May - 2 June 2011 / / edited by Luigi Accardi (University of Rome II, Tor Vergata, Italy) & Franco Fagnola (Politecnico di Milano, Italy) |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 530.1201/5192 |
| Altri autori (Persone) |
AccardiL <1947-> (Luigi)
FagnolaFranco |
| Collana | QP-PQ, quantum probability and white noise analysis |
| Soggetto topico |
Probabilities
Quantum theory |
| ISBN |
1-299-28115-X
981-4447-54-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Preface; Central Extension of Virasoro Type Subalgebras of the Zamolodchikov-w1 Lie Algebra L. Accardi and A. Boukas; 1. Introduction; 2. Closed subalgebras of w; 3. Abelian sub-algebras of w; 4. Basic facts on central extensions of Lie algebras; 5. Central extensions of wN; References; Entanglement Protection and Generation Under Continuous Monitoring A. Barchielli and M. Gregoratti; 1. Introduction; 1.1. Two qubits; 1.2. Concurrence; 2. Global evolution and continuous measurements; 2.1. HP evolutions; 2.2. From the HP-equation to the SSE
2.3. Interacting and non-interacting subsystems3. No direct or indirect interaction; 3.1. The a posteriori concurrence; 3.2. Only local detection operators; 3.2.1. Diffusive case; 3.2.2. Jump case; 3.3. An example with general detection operators; 3.3.1. Concurrence of the a priori state; 3.3.2. Local detection operators; 3.3.3. Non local detection operators; 4. An example with indirect interaction; References; Completely Positive Transformations of Quantum Operations G. Chiribella, A. Toigo and V. Umanita; 1. Introduction; 2. Notations and preliminary results 2.1. Increasing sequences of normal CP maps2.2. Tensor product of weak*-continuous CB maps; 3. Quantum supermaps; 4. Dilation of deterministic and probabilistic supermaps; 4.1. Sketch of the proof of Theorem 4.1; 5. An application of Theorem 4.1: Transforming a quantum measurement into a quantum channel; 6. Superinstruments; 7. Application of Theorem 6.1: Measuring a measurement; 7.1. Outcome statistics for a measurement on a measuring device; 7.2. Tranformations of measuring devices induced by a higher-order measurement; Acknowledgements; References Invariant Operators in Schr odinger Setting V.K. Dobrev1. Introduction; 2. Preliminaries; 3. Choice of bulk and boundary; 4. Boundary-to-bulk correspondence; 5. Singular vectors and invariant differential equations; 5.1. Singular vectors; 5.2. Generalized Schrodinger equations from a vector-field realization of the Schrodinger algebra; 5.3. Generalized Schrodinger equations in the bulk; Acknowledgments; References; Generation of Semigroups by Degenerate Elliptic Operators Arising in Open Quantum Systems F. Fagnola and L. Pantale on Martinez; 1. Introduction; 2. Open quantum system models 3. G1 generates a semigroup4. G generates a semigroup; References; Quantum Observables on a Completely Simple Semigroup Ph. Feinsilver; 1. Introduction; 1.1. Notations; 2. Probability measures on finite semigroups; 2.1. Invariant measures on the kernel; 3. Graphs, semigroups, and dynamical systems; 4. Tensor hierarchy; 4.1. The degree 2 component of V; 4.2. Basic Identities; 4.3. Trace Identities; 4.4. Convergence to tensor hierarchy; 5. The principal observables: M and N operators; 5.1. Graph-theoretic context; 5.2. Level 2 of the tensor hierarchy; 5.2.1. M and N operators 5.2.2. Diagonal of N N |
| Record Nr. | UNINA-9910826015203321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||