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作者 Sugiura, Sho, author
書名 Formulation of statistical mechanics based on thermal pure quantum states / by Sho Sugiura
出版項 Singapore : Springer Singapore : Imprint: Springer, 2017
國際標準書號 9789811015069 (electronic bk.)
9789811015052 (paper)
國際標準號碼 10.1007/978-981-10-1506-9 doi
book jacket
說明 1 online resource (xii, 73 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Springer theses, 2190-5053
Springer theses
附註 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
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
Host Item Springer eBooks
主題 Statistical mechanics
Physics
Quantum Physics
Complex Systems
Quantum Gases and Condensates
Strongly Correlated Systems, Superconductivity
Statistical Physics and Dynamical Systems
Alt Author SpringerLink (Online service)
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