skip to content
Statistical benchmarks for quantum transport in complex systems : from characterisation to design Preview this item
ClosePreview this item
Checking...

Statistical benchmarks for quantum transport in complex systems : from characterisation to design

Author: Mattia Walschaers
Publisher: [Place of publication not identified] : Springer, 2018.
Series: Springer theses.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems. These tools are applied in the contexts of energy transfer in photosynthesis, and boson sampling. In dynamical quantum systems, complexity typically manifests itself via the interference of a rapidly growing number of paths that connect the initial and final states. The book  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
(OCoLC)1035272461
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mattia Walschaers
ISBN: 9783319931517 3319931512
OCLC Number: 1047620004
Notes: "Doctoral thesis accepted by the Albert-Ludwigs-University, Freiburg, Germany and KU Leuven, Leuven, Belgium."
Description: 1 online resource
Contents: Intro; Supervisor's Foreword; Abstract; Preface; References; Publications; Acknowledgements; Contents; Symbols; Part I General Introduction; 1 Perspectives and Outline; 1.1 Frontiers of Quantum Interference; 1.2 Quantum Measurements; 1.2.1 Complex Quantum Systems and Statistics; 1.2.2 Measurements and Interpretations; 1.3 Outline; References; 2 Essentials of Quantum Theory; 2.1 Quantum Mechanics as a Probabilistic Theory*; 2.2 Quantisation*; 2.2.1 Old and New Quantum Theory*; 2.2.2 Quantum Algebra and Quantum Probability*; 2.3 Observables and States; 2.3.1 Observables; 2.3.2 States. 2.3.3 The Probabilistic Interpretation2.4 Dynamics of Quantum Systems; 2.4.1 The Heisenberg Picture; 2.4.2 The Schrödinger Picture; 2.5 Quantum Interference; 2.5.1 From Waves to Wave Functions; 2.5.2 Projections and Quantum Probability; 2.6 Scattering Systems; 2.7 Concluding Remarks; References; 3 Complex Quantum Systems and Random Matrix Theory; 3.1 Complex Systems; 3.1.1 Heuristics; 3.1.2 Complexity and Information Theory*; 3.1.3 Complexity of Quantum Dynamical Systems; 3.2 Complex Networks; 3.3 Aspects of Random Matrix Theory; 3.3.1 From Atoms and Orbits to Random Matrix Theory* 3.3.2 The Gaussian Ensembles of Random Matrix Theory3.3.3 Statistical Properties of GOE Eigenvalues; 3.3.4 Statistical Properties of GOE Eigenvectors; 3.4 Concluding Remarks; References; Part II Single-Particle Quantum Transport; 4 Efficient Transport in Closed Systems; 4.1 Introduction; 4.2 Measuring Transfer Efficiency; 4.3 Influence of Network Structures; 4.3.1 Regular Networks; 4.3.2 Random Networks; 4.4 Design Principles; 4.4.1 Centrosymmetry; 4.4.2 The Dominant Doublet; 4.5 Statistical Control; 4.5.1 Statistics of the Dominant Doublet; 4.5.2 Statistics of the Transfer Time. 4.5.3 Scaling Properties4.5.4 Numerics; 4.6 Summary and Outlook; References; 5 Scattering Approach to Efficient Transport; 5.1 Introduction; 5.2 Transfer Probability and Dwell Time; 5.3 The Two Level System; 5.3.1 The Model; 5.3.2 The Symmetric Case; 5.4 Designing the System; 5.5 Statistical Treatment; 5.5.1 The Indirect Treatment; 5.5.2 The Direct Treatment; 5.5.3 Numerical Results; 5.6 Summary and Outlook; References; 6 Quantum Effects in Biological Systems; 6.1 From Schrödinger to ``Quantum Biology''; 6.2 Photosynthesis: Disorder Versus Noise; 6.3 Design Principles in Photosynthesis. 6.4 OutlookReferences; Part III Many-Particle Quantum Transport; 7 Describing Many-Particle Quantum Systems; 7.1 Introduction; 7.2 Postulates for Bosons and Fermions; 7.2.1 The Two-Particle System; 7.2.2 The N-Particle System; 7.2.3 Permanents and (Slater) Determinants; 7.3 Fock Space; 7.3.1 Constructing Fock Space; 7.3.2 Structuring Fock Space; 7.3.3 Exponential Vectors; 7.4 Commutation Relations; 7.5 Second Quantisation; 7.6 Many-Particle Quantum States; 7.6.1 Number States; 7.6.2 Bosonic Coherent States*; 7.6.3 Bosonic Squeezed States*; 7.6.4 Representing Bosonic States*
Series Title: Springer theses.
Responsibility: Mattia Walschaers.

Abstract:

This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems. In dynamical quantum systems, complexity typically manifests  Read more...

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1047620004> # Statistical benchmarks for quantum transport in complex systems : from characterisation to design
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
    library:oclcnum "1047620004" ;
    schema:about <http://experiment.worldcat.org/entity/work/data/5369977184#Topic/science_energy> ; # SCIENCE--Energy
    schema:about <http://dewey.info/class/530.12/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/5369977184#Topic/science_mechanics_general> ; # SCIENCE--Mechanics--General
    schema:about <http://experiment.worldcat.org/entity/work/data/5369977184#Topic/quantum_theory> ; # Quantum theory
    schema:about <http://experiment.worldcat.org/entity/work/data/5369977184#Topic/statistical_physics> ; # Statistical physics
    schema:about <http://experiment.worldcat.org/entity/work/data/5369977184#Topic/quantum_physics_quantum_mechanics_&_quantum_field_theory> ; # Quantum physics (quantum mechanics & quantum field theory)
    schema:about <http://experiment.worldcat.org/entity/work/data/5369977184#Topic/science_physics_general> ; # SCIENCE--Physics--General
    schema:author <http://experiment.worldcat.org/entity/work/data/5369977184#Person/walschaers_mattia> ; # Mattia Walschaers
    schema:bookFormat schema:EBook ;
    schema:datePublished "2018" ;
    schema:description "Intro; Supervisor's Foreword; Abstract; Preface; References; Publications; Acknowledgements; Contents; Symbols; Part I General Introduction; 1 Perspectives and Outline; 1.1 Frontiers of Quantum Interference; 1.2 Quantum Measurements; 1.2.1 Complex Quantum Systems and Statistics; 1.2.2 Measurements and Interpretations; 1.3 Outline; References; 2 Essentials of Quantum Theory; 2.1 Quantum Mechanics as a Probabilistic Theory*; 2.2 Quantisation*; 2.2.1 Old and New Quantum Theory*; 2.2.2 Quantum Algebra and Quantum Probability*; 2.3 Observables and States; 2.3.1 Observables; 2.3.2 States."@en ;
    schema:description "This book introduces a variety of statistical tools for characterising and designing the dynamical features of complex quantum systems. These tools are applied in the contexts of energy transfer in photosynthesis, and boson sampling. In dynamical quantum systems, complexity typically manifests itself via the interference of a rapidly growing number of paths that connect the initial and final states. The book presents the language of graphs and networks, providing a useful framework to discuss such scenarios and explore the rich phenomenology of transport phenomena. As the complexity increases, deterministic approaches rapidly become intractable, which leaves statistics as a viable alternative."@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/5369977184> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isPartOf <http://experiment.worldcat.org/entity/work/data/5369977184#Series/springer_theses> ; # Springer theses.
    schema:isSimilarTo <http://www.worldcat.org/oclc/1035272461> ;
    schema:name "Statistical benchmarks for quantum transport in complex systems : from characterisation to design"@en ;
    schema:productID "1047620004" ;
    schema:url <https://link.springer.com/book/10.1007/978-3-319-93151-7> ;
    schema:url <http://www.vlebooks.com/vleweb/product/openreader?id=none&isbn=9783319931517> ;
    schema:url <https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1862441> ;
    schema:url <https://link.springer.com/book/10.1007%2F978-3-319-93151-7> ;
    schema:url <https://link.springer.com/book/10.1007/978-3-319-93150-0> ;
    schema:url <https://public.ebookcentral.proquest.com/choice/publicfullrecord.aspx?p=5484897> ;
    schema:url <https://doi.org/10.1007/978-3-319-93151-7> ;
    schema:workExample <http://worldcat.org/isbn/9783319931517> ;
    schema:workExample <http://dx.doi.org/10.1007/978-3-319-93151-7> ;
    umbel:isLike <http://bnb.data.bl.uk/id/resource/GBB8O1936> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1047620004> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/5369977184#Person/walschaers_mattia> # Mattia Walschaers
    a schema:Person ;
    schema:familyName "Walschaers" ;
    schema:givenName "Mattia" ;
    schema:name "Mattia Walschaers" ;
    .

<http://experiment.worldcat.org/entity/work/data/5369977184#Series/springer_theses> # Springer theses.
    a bgn:PublicationSeries ;
    schema:hasPart <http://www.worldcat.org/oclc/1047620004> ; # Statistical benchmarks for quantum transport in complex systems : from characterisation to design
    schema:name "Springer theses." ;
    schema:name "Springer theses" ;
    .

<http://experiment.worldcat.org/entity/work/data/5369977184#Topic/quantum_physics_quantum_mechanics_&_quantum_field_theory> # Quantum physics (quantum mechanics & quantum field theory)
    a schema:Intangible ;
    schema:name "Quantum physics (quantum mechanics & quantum field theory)"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/5369977184#Topic/science_mechanics_general> # SCIENCE--Mechanics--General
    a schema:Intangible ;
    schema:name "SCIENCE--Mechanics--General"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/5369977184#Topic/science_physics_general> # SCIENCE--Physics--General
    a schema:Intangible ;
    schema:name "SCIENCE--Physics--General"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/5369977184#Topic/statistical_physics> # Statistical physics
    a schema:Intangible ;
    schema:name "Statistical physics"@en ;
    .

<http://worldcat.org/isbn/9783319931517>
    a schema:ProductModel ;
    schema:isbn "3319931512" ;
    schema:isbn "9783319931517" ;
    .

<http://www.worldcat.org/oclc/1035272461>
    a schema:CreativeWork ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1047620004> ; # Statistical benchmarks for quantum transport in complex systems : from characterisation to design
    .

<http://www.worldcat.org/title/-/oclc/1047620004>
    a genont:InformationResource, genont:ContentTypeGenericResource ;
    schema:about <http://www.worldcat.org/oclc/1047620004> ; # Statistical benchmarks for quantum transport in complex systems : from characterisation to design
    schema:dateModified "2020-01-10" ;
    void:inDataset <http://purl.oclc.org/dataset/WorldCat> ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.