Formulation of Statistical Mechanics Based on Thermal Pure Quantum States

• Main Author: Sugiura, Sho (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2017.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Physics.; System theory.; Quantum physics.; Phase transformations (Statistical physics).; Condensed materials.; Condensed matter.; Superconductivity.; Superconductors.; Quantum Physics.; Complex Systems.; Quantum Gases and Condensates.; Strongly Correlated Systems, Superconductivity.; Statistical Physics and Dynamical Systems.

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 th...

Table of 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. .