03750nam a22005895i 4500 978-981-10-1506-9 DE-He213 20210623080658.0 cr nn 008mamaa 171005s2017 si | s |||| 0|eng d 9789811015069 978-981-10-1506-9 10.1007/978-981-10-1506-9 doi QC173.96-174.52 PHQ bicssc SCI057000 bisacsh PHQ thema 530.12 23 Sugiura, Sho. author. aut http://id.loc.gov/vocabulary/relators/aut Formulation of Statistical Mechanics Based on Thermal Pure Quantum States [electronic resource] / by Sho Sugiura. 1st ed. 2017. Singapore : Springer Singapore : Imprint: Springer, 2017. XII, 73 p. 4 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 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. . Quantum physics. Statistical physics. Dynamical systems. Phase transformations (Statistical physics). Condensed materials. Superconductivity. Superconductors. Quantum Physics. https://scigraph.springernature.com/ontologies/product-market-codes/P19080 Complex Systems. https://scigraph.springernature.com/ontologies/product-market-codes/P33000 Quantum Gases and Condensates. https://scigraph.springernature.com/ontologies/product-market-codes/P24033 Strongly Correlated Systems, Superconductivity. https://scigraph.springernature.com/ontologies/product-market-codes/P25064 Statistical Physics and Dynamical Systems. https://scigraph.springernature.com/ontologies/product-market-codes/P19090 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789811015052 Printed edition: 9789811015076 Printed edition: 9789811093708 Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 https://doi.org/10.1007/978-981-10-1506-9 ZDB-2-PHA ZDB-2-SXP Physics and Astronomy (SpringerNature-11651) Physics and Astronomy (R0) (SpringerNature-43715)