This comprehensive textbook provides the fundamental concepts and methods of dissipative quantum mechanics and related issues in condensed matter physics starting from first principles. It deals with the phenomena and theory of decoherence, relaxation and dissipation in quantum mechanics that arise from the random exchange of energy with the environment. Major theoretical advances in combination with stunning experimental achievements and the arising perspective for quantum computing have brightened the field and brought it to the attention of the general community in natural sciences. Expertise in dissipative quantum mechanics is by now beneficial in a broad sphere.This book — originally published in 1992 and republished as enlarged and updated second, third and fourth edition in 1999, 2008, and 2012 — dives even deeper into the fundamental concepts, methods and applications of quantum dissipation. The fifth edition provides a self-contained and updated account of the quantum mechanics and quantum statistics of open systems. The subject matter of the book has been thoroughly revised to better comply with the needs of newcomers and the demands of the advanced readership. Most of the chapters are rewritten to enhance clarity and topicality. Four new chapters covering recent developments in the field have been added. There are about 600 references. This book is intended for use by advanced undergraduate and graduate students in physics, and for researchers active in the field. They will find the monograph as a rich and stimulating source.
Contents:
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Introduction
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General Theory of Open Quantum Systems:
- Diverse Limited Approaches: A Brief Survey
- System-Plus-Reservoir Models
- Imaginary-Time Approach and Equilibrium Dynamics
- Real-Time Approach and Nonequilibrium Dynamics
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Miscellaneous Applications:
- Damped Linear Quantum Mechanical Oscillator
- Quantum Brownian Free Motion
- The Thermodynamic Variational Approach
- Suppression of Quantum Coherence
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Quantum Statistical Decay:
- Introduction
- Classical Rate Theory: A Brief Overview
- Quantum Rate Theory: Basic Methods
- Multidimensional Quantum Rate Theory
- Crossover from Thermal to Quantum Decay
- Thermally Activated Decay
- The Crossover Region
- Dissipative Quantum Tunneling
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The Dissipative Two-State System:
- Introduction
- Thermodynamics
- Electron Transfer and Incoherent Tunneling
- Two-State Dynamics: Basics and Methods
- Two-State Dynamics: Sundry Topics
- The Driven Two-State System
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The Dissipative Multi-State System:
- Quantum Brownian Particle in a Washboard Potential
- Multi-State Dynamics
- Exact Formal Expressions for Current and Current Noise
- The Ohmic Case
- Duality Symmetry
- Full Counting Statistics at Zero Temperature
- Twisted Partition Function and Nonlinear Mobility
- Charge Transport in Quantum Impurity Systems
- Nonlinear Quantum Brownian Duet as Work-to Work Converter
Readership: Advanced undergraduate and graduate students; researchers in quantum statistical and condensed matter physics, in quantum/classical mechanics, in quantum information and quantum state engineering, in quantum optics, and in Bose-condensed systems.
Key Features:
- This is the worldwide leading book on Dissipative Quantum Mechanics (Quantum Mechanics of Open Systems). The first edition of "Quantum Dissipative Systems", which appeared in 1992, was the first book on this topic. Since then the topic attracted growing interest by a large readership due to the rapid advance in theory and experiment, and also because the topic is fundamental for the implementation of quantum computing in real physical systems. For this reason, the subject matter was carefully maintained, extended and adapted over the years in three subsequent editions
- In the fifth edition, the whole subject is carefully revised and updated. Major parts are rewritten, in order to better meet the needs for newcomers and experts in the field. At this, I took benefit from the exchange with and response by many colleagues
