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The Resource Formulation of Statistical Mechanics Based on Thermal Pure Quantum States, by Sho Sugiura, (electronic resource)

Formulation of Statistical Mechanics Based on Thermal Pure Quantum States, by Sho Sugiura, (electronic resource)

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Formulation of Statistical Mechanics Based on Thermal Pure Quantum States
Title
Formulation of Statistical Mechanics Based on Thermal Pure Quantum States
Statement of responsibility
by Sho Sugiura
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Author
Subject
Language
eng
Summary
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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Literary form
non fiction
Series statement
Springer Theses, Recognizing Outstanding Ph.D. Research,
Formulation of Statistical Mechanics Based on Thermal Pure Quantum States, by Sho Sugiura, (electronic resource)
Label
Formulation of Statistical Mechanics Based on Thermal Pure Quantum States, by Sho Sugiura, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://dx.doi.org/10.1007/978-981-10-1506-9
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Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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.
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unknown
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{'f': 'http://opac.lib.rpi.edu/record=b4379988'}
Extent
XII, 73 p. 4 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9789811015069
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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