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, 21905053


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 twodimensional 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)

