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)
 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 twodimensional quantum spin model, and the result is also included in this book.
 Language
 eng
 Extent
 XII, 73 p. 4 illus. in color.
 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.
 Isbn
 9789811015069
 Label
 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
 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 twodimensional quantum spin model, and the result is also included in this book.
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 0
 Literary form
 non fiction
 Series statement
 Springer Theses, Recognizing Outstanding Ph.D. Research,
 Label
 Formulation of Statistical Mechanics Based on Thermal Pure Quantum States, by Sho Sugiura, (electronic resource)
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 mixed
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 online resource
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 cr
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 rdacarrier
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 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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 http://library.link/vocab/discovery_link
 {'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
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 online resource.
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Subject
 Complex Systems
 Condensed matter
 Phase transformations (Statistical physics)
 Physics
 Quantum Gases and Condensates
 Quantum Physics
 Quantum theory
 Statistical Physics and Dynamical Systems
 Strongly Correlated Systems, Superconductivity
 Superconductivity
 Superconductors
 System theory
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/FormulationofStatisticalMechanicsBasedon/hHx0hnu4t90/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/FormulationofStatisticalMechanicsBasedon/hHx0hnu4t90/">Formulation of Statistical Mechanics Based on Thermal Pure Quantum States, by Sho Sugiura, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>