Overview
- Nominated as an outstanding contribution by the Physics Department of The University of Tokyo in 2014
- Is the only book that formulates quantum statistical mechanics based on a single pure quantum state
- Shows that pure quantum state formulation of statistical mechanics is a strong tool to investigate quantum many-body systems
- Is based on two papers designated “Editor’s suggestion” in Physical Review Letters
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This thesis introduces the concept of "thermal pure quantum (TPQ) states", which are pure quantum states in equilibrium. The author establishes a new formulation of statistical mechanics based on the TPQ states. This formulation allows us to obtain not only mechanical variables but also thermodynamic variables such as entropy and free energy from a single TPQ state. Furthermore, the formulation provides a new physical description in which all fluctuations including thermally driven ones are uniquely identified to be quantum fluctuations.
The use of TPQ formulation has practical advantages in its application to numerical computations and allows for significant reduction in computation cost in numerics. For demonstration purposes, a numerical computation based on TPQ formulation is applied to a frustrated two-dimensional quantum spin model, and the result is also included in this book.
Authors and Affiliations
Bibliographic Information
Book Title: Formulation of Statistical Mechanics Based on Thermal Pure Quantum States
Authors: Sho Sugiura
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-981-10-1506-9
Publisher: Springer Singapore
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media Singapore 2017
Hardcover ISBN: 978-981-10-1505-2Published: 17 October 2017
Softcover ISBN: 978-981-10-9370-8Published: 04 September 2018
eBook ISBN: 978-981-10-1506-9Published: 05 October 2017
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XII, 73
Number of Illustrations: 4 illustrations in colour
Topics: Quantum Physics, Complex Systems, Quantum Gases and Condensates, Strongly Correlated Systems, Superconductivity, Statistical Physics and Dynamical Systems