Quantum Transport and Dissipation

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9783527292615: Quantum Transport and Dissipation

The increasing emphasis and importance of mesoscopic systems for tomorrow's high-tech electronics industry as well as a growing research interest in the subject has given rise to the need for a modern introductory text at the graduate level. This book aims to provide the necessary theory and tools to carry out research into the various aspects of the subject.

It starts with a chapter on the theory of quantum transport giving a survey of the basic theory used in transport phenomena including scattering, linear response theory, weak localization, conductance fluctuations and the Landauer-Büttiker formalism. Various aspects of chaos in quantum systems as well as dissipative quantum systems are discussed. Other topics of importance such as single electron tunneling, driven bistable systems, quantized transport and electron liquids are also covered in detail.

Graduate students as well as newcomers to this exciting and expanding field will find this work useful to adopt the necessary theory and overview required to go deeper into the original literature and to carry out research.

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From the Publisher:

Quantum effects play a major role in very mesoscopic systems on a nanometer scale. This book reflects the increasingly important role mesoscopic systems will play in tomorrow's high-tech electronics industry. It introduces readers to this exciting and expanding field and provides all the necessary theory and overview they need to apply the results in research.

From the Back Cover:

T. Dittrich, P. Hänggi, G.-L. Ingold, B. Kramer, G. Schön, W. Zwerger Quantum Transport and Dissipation Mesoscopic quantum systems—intermediate between the microscopic and the macroscopic range—have developed into one of the most active fields in modern condensed-matter physics. In this area, research on fundamental questions of quantum and statistical mechanics and a rapid progress in applications strongly influence and fertilize one another. This book is intended as an introduction at the graduate level. It provides the conceptual and theoretical background for independent research. The first three chapters review a survey of key transport phenomena in mesoscopic systems. Basic concepts such as scattering, linear response, weak localization, the Landauer-Büttiker formalism, and universal conductance fluctuations are introduced. Aspects of the quantization of low-temperature transport like the quantum Hall effect, quantized conductance in narrow wires, and the Luttinger liquid are described. Single electron tunneling and Coulomb blockade are outlined. The second part of the book covers dissipation, time-dependent driving, and quantum-chaos, aspects of a more general nature that are relevant for mesoscopic quantum physics. The central concept of coupling to a heat bath is explained in detail in the fourth chapter. Chapter five is mainly devoted to the Floquet formalism, a general theoretical framework for time-dependent quantum systems. The interplay of nonlinear dynamics with quantum coherence and transport is in the focus of chapter six.

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