Quantum Thermodynamics

1. Front Matter

   Pages i-xvi

   PDF

2. Part I Background

   1. Front Matter

      Pages 1-1

      PDF

   2. Introduction

      • Jochen Gemmer, M. Michel, Günter Mahler

      Pages 3-6

   3. Basics of Quantum Mechanics

      • Jochen Gemmer, M. Michel, Günter Mahler

      Pages 7-22

   4. Basics of Thermodynamics and Statistics

      • Jochen Gemmer, M. Michel, Günter Mahler

      Pages 23-39

   5. Brief Review of Pertinent Concepts

      • Jochen Gemmer, M. Michel, Günter Mahler

      Pages 41-62

3. Part II Equilibrium

   1. Front Matter

      Pages 63-63

      PDF

   2. The Program for the Foundation of Thermodynamics

      • Jochen Gemmer, M. Michel, Günter Mahler

      Pages 65-68

   3. Outline of the Present Approach

      • Jochen Gemmer, M. Michel, Güunter Mahler

      Pages 69-76

   4. Dynamics and Averages in Hilbert Space

      • Jochen Gemmer, M. Michel, Güunter Mahler

      Pages 77-83

   5. Typicality of Observables and States

      • Jochen Gemmer, M. Michel, Güunter Mahler

      Pages 85-93

   6. System and Environment

      • Jochen Gemmer, M. Michel, Güunter Mahler

      Pages 95-105

   7. The Typical Reduced State of the System

      • Jochen Gemmer, M. Michel, Günter Mahler

      Pages 107-117

   8. Entanglement, Correlations and Local Entropy

      • Jochen Gemmer, M. Michel, Günter Mahler

      Pages 119-127

   9. Generic Spectra of Large Systems

      • Jochen Gemmer, M. Michel, Günter Mahler

      Pages 129-138

   10. Temperature

       • Jochen Gemmer, M. Michel, Günter Mahler

       Pages 139-148

   11. Pressure and Adiabatic Processes

       • Jochen Gemmer, M. Michel, Günter Mahler

       Pages 149-155

   12. Quantum Mechanical and Classical State Densities

       • Jochen Gemmer, M. Michel, Günter Mahler

       Pages 157-171

   13. Equilibration in Model Systems

       • Jochen Gemmer, M. Michel, Günter Mahler

       Pages 173-188

4. Part III Non-equilibrium

   1. Front Matter

      Pages 189-189

      PDF

Over the years enormous effort was invested in proving ergodicity, but for a number of reasons, con?dence in the fruitfulness of this approach has waned. — Y. Ben-Menahem and I. Pitowsky [1] Abstract The basic motivation behind the present text is threefold: To give a new explanation for the emergence of thermodynamics, to investigate the interplay between quantum mechanics and thermodynamics, and to explore possible ext- sions of the common validity range of thermodynamics. Originally, thermodynamics has been a purely phenomenological science. Early s- entists (Galileo, Santorio, Celsius, Fahrenheit) tried to give de?nitions for quantities which were intuitively obvious to the observer, like pressure or temperature, and studied their interconnections. The idea that these phenomena might be linked to other ?elds of physics, like classical mechanics, e.g., was not common in those days. Such a connection was basically introduced when Joule calculated the heat equ- alent in 1840 showing that heat was a form of energy, just like kinetic or potential energy in the theory of mechanics. At the end of the 19th century, when the atomic theory became popular, researchers began to think of a gas as a huge amount of bouncing balls inside a box.

• decohernece
• open quantum systems
• quantum entropy
• quantum mechanics
• quantum thermodynamics
• thermodynamics

From the reviews of the second edition:

“The aim of this textbook is to show how thermodynamic behavior can emerge for a given finite quantum system. … The book is written in a conceptually simple language, the focus being rather on the careful interpretation of the concepts at hand and their illustrations on model systems. … presents some applications to model systems, which allows one to illustrate more precisely previously introduced notions.” (Gabriel Stoltz, Mathematical Reviews, Issue 2011 f)

“This book introduces into the emergent field of the application of thermodynamics to describe phenomena arising with open quantum systems which consist in one or few particles. … A clue of this book is that ergodicity or mixing are replaced by a kind of typicality which is introduced and used as a basic concept to define equilibrium. … This is a heuristic approach and the results derived show how it works well.” (K.-E. Hellwig, Zentralblatt MATH, Vol. 1221, 2011)

• FB Physik, Universität Osnabrück, Osnabrück, Germany

  Jochen Gemmer

• School of Electronics &, University of Surrey, Guildford, Surrey, United Kingdom

  M. Michel

• Inst. Theoretische Physik und, Universität Stuttgart, Stuttgart, Germany

  Günter Mahler

Policies and ethics