rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Formulation of Statistical Mechanics Based on Thermal Pure Quantum States
  name:
    name part: Sugiura, Sho.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XII, 73 p. 4 illus. in color. online resource.
  abstract: 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. .
  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. .
  note: by Sho Sugiura.
  subject:
    topic: Physics
  subject:
    topic: System theory
  subject:
    topic: Quantum physics
  subject:
    topic: Phase transformations (Statistical physics)
  subject:
    topic: Condensed materials
  subject:
    topic: Condensed matter
  subject:
    topic: Superconductivity
  subject:
    topic: Superconductors
  subject:
    topic: Physics
  subject:
    topic: Quantum Physics
  subject:
    topic: Complex Systems
  subject:
    topic: Quantum Gases and Condensates
  subject:
    topic: Strongly Correlated Systems, Superconductivity
  subject:
    topic: Statistical Physics and Dynamical Systems
  classification: QC173.96-174.52
  classification: 530.12
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Theses, Recognizing Outstanding Ph.D. Research
  identifier: 9789811015069
  identifier: http://dx.doi.org/10.1007/978-981-10-1506-9
  record info:
    record creation date: 171005
    record change date: 20171005110405.0
    record identifier: 978-981-10-1506-9