Research Catalog

Title

Quantum noise : a handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics / C.W. Gardiner, P. Zoller.

Author

Gardiner, C. W. (Crispin W.), 1942-

Publication

Berlin : Springer, ©2000.

Items in the Library & Off-site

Details

Additional Authors

Zoller, P. (Peter), 1952-

Description

xxi, 438 pages : illustrations; 25 cm.

Summary

"This book offers a systematic and comprehensive exposition of the quantum stochastic methods that have been developed in the field of quantum optics. It includes new treatments of photodetection, quantum amplifier theory, non-Markovian quantum stochastic processes, quantum input-output theory, and positive P-representations. It is the first book in which quantum noise is described by a mathematically complete theory in a form that is also suited to practical applications. Special attention is paid to non-classical effects, such as squeezing and antibunching." "This second edition has been enlarged so as to take account of rapid progress in the field, and now includes two additional chapters, on the stochastic Schrodinger equation and on cascaded quantum systems."--Jacket.

Series Statement

Springer series in synergetics, 0172-7389

Uniform Title

Springer series in synergetics.

Subject

• Quantum optics
• Josephson junctions
• Stochastic processes
• Stochastic Processes
• Quantenrauschen
• Quantenoptik
• MARKOV PROCESSES
• QUANTUM STATISTICS
• QUANTUM MECHANICS
• Optique quantique

Note

• Originally published: 1991.
• C.W. Gardiner is a professor at Victoria University, N.Z.
• "The first edition appeared as Springer Series in Synergetics, volume 56 under the title: C.W. Gardiner, Quantum Noise"--T.p.verso.

Bibliography (note)

• Includes bibliographical references (p. [424]-425) and indexes.

Contents

1. A Historical Introduction -- 1.1. Heisenberg's Uncertainty Principle -- 1.2. The Spectrum of Quantum Noise -- 1.3. Emission and Absorption of Light -- 1.4. Consistency Requirements for Quantum Noise Theory -- 1.5. Quantum Stochastic Processes and the Master Equation -- 2. Quantum Statistics -- 2.1. The Density Operator -- 2.2. Quantum Theory of Measurement -- 2.3. Multitime Measurements -- 2.4. Quantum Statistical Mechanics -- 2.5. System and Heat Bath -- 3. Quantum Langevin Equations -- 3.1. The Harmonic Oscillator Heat Bath -- 3.2. The Field Interpretation -- Noise Inputs and Outputs -- 3.3. The Noise Interpretation -- 3.4. Examples and Applications -- 3.5. The Adjoint Equation -- 3.6. The Master Equation -- 4. Phase Space Methods -- 4.1. The Harmonic Oscillator in One Variable -- 4.2. Coherent States and the Classical Limit -- 4.3. Coherent States -- 4.4. Phase Space Representations of the Harmonic Oscillator Density Operator -- 4.5. Operator Correspondences and Equations of Motion -- 5. Quantum Markov Processes -- 5.1. The Physical Basis of the Master Equation -- 5.2. Multitime Structure of Quantum Markov Processes -- 5.3. Inputs, Outputs and Quantum Stochastic Differential Equations -- 5.4. The Master Equation -- 6. Applying the Master Equation -- 6.1. Using the Number State Basis -- 6.2. Quantum Classical Correspondence -- 6.3. Some Amplifier Models -- 6.4. Generalized P-Representations -- 6.5. Applications of the Generalized P-Representations -- 6.6. Applications of the Positive P-Representation -- 6.7. The Anharmonic Oscillator -- 6.8. Theoretical Framework of the Problem -- 6.9. Conclusions -- 6.10. Example -- Quantum Noise in the Parametric Oscillator -- 7. Amplifiers and Measurement -- 7.1. Input-Output Theory of Amplifiers and Attenuators -- 7.2. Amplifiers -- 7.3. The Macroscopic Limit in Open Quantum Systems -- 8. Photon Counting -- 8.1. Quantization of the Electromagnetic Field -- 8.2. Photodetection and Photon Counting -- 8.3. Photon Counting Formulae -- 8.4. Homodyne and Heterodyne Detection -- 8.5. Input-Output Formulations of Photodetection -- 9. Interaction of Light with Atoms -- 9.1. Two Level Systems -- 9.2. Two Level Atom in the Electromagnetic Field -- 9.3. The Laser -- 9.4. Optical Bistability -- 9.5. Other Phase Space Methods -- 10. Squeezing -- 10.1. Squeezed States of the Harmonic Oscillator -- 10.2. The Degenerate Parametric Amplifier -- 10.3. Squeezed Light on a Single Atom -- 10.4. Simulation Methods Based on the Adjoint Equation -- 11. The Stochastic Schrodinger Equation -- 11.1. Quantum Stochastic Schrodinger Equation -- 11.2. QSDE for Time Evolution Operators and State Vectors -- 11.3. Number Processes and Photon Counting -- 11.4. Diffusion Processes and Homodyne Detection -- 11.5. Applications and Illustrations -- 12. Cascaded Quantum Systems -- 12.1. Coupling Equations -- 12.2. Application to Harmonic Oscillator Systems -- 12.3. Two Level Atom Driven by Antibunched Light -- 12.4. Characterizing Non-Classical Light -- 12.5. Transmission of Quantum Information Through a Quantum Network.

ISBN

• 3540665714
• 9783540665717

LCCN

• 99052147
• 9783540665717

OCLC

• ocm42764517
• 42764517
• SCSB-1140754

Owning Institutions

Princeton University Library