Formulation of statistical mechanics based on thermal pure quantum states

著者

    • Sugiura, Sho

書誌事項

Formulation of statistical mechanics based on thermal pure quantum states

Sho Sugiura

(Springer theses : recognizing outstanding Ph. D. research)

Springer, c2017

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注記

Includes bibliographical references

内容説明・目次

内容説明

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.

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詳細情報

  • NII書誌ID(NCID)
    BB25344215
  • ISBN
    • 9789811015052
  • LCCN
    2017948625
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    xii, 73 p.
  • 大きさ
    25 cm
  • 親書誌ID
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