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Cover Art
Author Sugiura, Sho.

Title Formulation of statistical mechanics based on thermal pure quantum states / Sho Sugiura.

Published Singapore : Springer, 2017.


Location Call No. Status
Physical description 1 online resource (XII, 73 pages).
Series Springer Theses, Recognizing Outstanding Ph. D. Research,
Springer theses.
Springer Physics and Astronomy eBooks 2017 English+International
Notes "Doctoral thesis accepted by The University of Tokyo, Tokyo, Japan."
Contents Introduction to thermal pure quantum state formulation of statistical mechanics -- Typicality And Ergodicity -- Canonical Thermal Pure Quantum State -- Microcanonical Thermal Pure Quantum State -- Equilibrium State And Entanglement -- Relation Among TPQ States -- Application To Numerical Calculation -- Conclusion.
Bibliography Includes bibliographical references.
Summary 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.
Other author SpringerLink issuing body.
Subject Statistical mechanics.
Phase transformations (Statistical physics)
Condensed matter.
Electronic books.
ISBN 9789811015069
9789811015052 (print)
Standard Number 10.1007/978-981-10-1506-9