1.

Record Nr.

UNINA9910254587403321

Autore

Sugiura Sho

Titolo

Formulation of Statistical Mechanics Based on Thermal Pure Quantum States / / by Sho Sugiura

Pubbl/distr/stampa

Singapore : , : Springer Singapore : , : Imprint : Springer, , 2017

ISBN

981-10-1506-6

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XII, 73 p. 4 illus. in color.)

Collana

Springer Theses, Recognizing Outstanding Ph.D. Research, , 2190-5053

Disciplina

530.12

Soggetti

Quantum physics

Statistical physics

Dynamical systems

Phase transformations (Statistical physics)

Condensed materials

Superconductivity

Superconductors

Quantum Physics

Complex Systems

Quantum Gases and Condensates

Strongly Correlated Systems, Superconductivity

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

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. .

Sommario/riassunto

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. .