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Quantum Thermodynamics

Emergence of Thermodynamic Behavior Within Composite Quantum Systems

Jochen Gemmer, M. Michel, Günter Mahler (Autoren)

Buch | Hardcover

XIV, 346 Seiten

2009 | 2. Second Edition 2009
Springer Berlin (Verlag)
978-3-540-70509-3 (ISBN)

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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.

Background.- Basics of Quantum Mechanics.- Basics of Thermodynamics and Statistics.- Brief Review of Pertinent Concepts.- Equilibrium.- The Program for the Foundation of Thermodynamics.- Outline of the Present Approach.- Dynamics and Averages in Hilbert Space.- Typicality of Observables and States.- System and Environment.- The Typical Reduced State of the System.- Entanglement, Correlations and Local Entropy.- Generic Spectra of Large Systems.- Temperature.- Pressure and Adiabatic Processes.- Quantum Mechanical and Classical State Densities.- Equilibration in Model Systems.- Non-Equilibrium.- Brief Review of Relaxation and Transport Theories.- Projection Operator Techniques and Hilbert Space Average Method.- Finite Systems as Thermostats.- Projective Approach to Dynamical Transport.- Open System Approach to Transport.- Applications and Models.- Purity and Local Entropy in Product Hilbert Space.- Observability of Intensive Variables.- Observability of Extensive Variables.- Quantum Thermodynamic Processes.

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)

Erscheint lt. Verlag	21.10.2009
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	XIV, 346 p. 88 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	710 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Astronomie / Astrophysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	decohernece • Open Quantum Systems • quantum entropy • quantum mechanics • quantum thermodynamics • thermodynamics
ISBN-10	3-540-70509-0 / 3540705090
ISBN-13	978-3-540-70509-3 / 9783540705093
Zustand	Neuware