Quantum Interacting Particle Systems.
The problem of extending ideas and results on the dynamics of infinite classical lattice systems to the quantum domain naturally arises in different branches of physics (nonequilibrium statistical mechanics, quantum optics, solid state ...) and new momentum from the development of quantum computer a...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore :
World Scientific Publishing Company,
2002.
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| Series: | QP-PQ, quantum probability and white noise analysis.
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| Subjects: | |
| Genre/Form: | Electronic books |
MARC
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| 100 | 1 | |a Accardi, Luigi. | |
| 245 | 1 | 0 | |a Quantum Interacting Particle Systems. |
| 260 | |a Singapore : |b World Scientific Publishing Company, |c 2002. | ||
| 300 | |a 1 online resource (356 pages) | ||
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| 490 | 1 | |a Qp-Pq: Quantum Probability and White Noise Analysis | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 520 | |a The problem of extending ideas and results on the dynamics of infinite classical lattice systems to the quantum domain naturally arises in different branches of physics (nonequilibrium statistical mechanics, quantum optics, solid state ...) and new momentum from the development of quantum computer and quantum neural networks (which are in fact interacting arrays of binary systems) has been found. The stochastic limit of quantum theory allowed to deduce, as limits of the usual Hamiltonian systems, a new class of quantum stochastic flows which, when restricted to an appropriate Abelian subalgeb. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Quantum theory. | |
| 650 | 0 | |a Hamiltonian systems. | |
| 650 | 0 | |a Stochastic processes. | |
| 650 | 0 | |a Mathematical physics. | |
| 655 | 0 | |a Electronic books. | |
| 700 | 1 | |a Fagnola, Franco. | |
| 758 | |i has work: |a Quantum Interacting Particle Systems (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFBK8hXKmwh4B9fh8V36Gb |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9789812381040 |
| 830 | 0 | |a QP-PQ, quantum probability and white noise analysis. | |
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