Exact methods in low-dimensional statistical physics and quantum computing :: École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS /
"Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those of low-dime...
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| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford :
Oxford University Press,
©2010.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | "Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those of low-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. For instance, understanding the key concepts of quantum entanglement (a measure of information density) necessitates a thorough knowledge of quantum and topological field theory, and integrable models. To achieve this goal, the lectures were given by international leaders in the fields of exactly solvable models in low dimensional condensed matter and statistical physics."--Publisher's description. |
| Beschreibung: | 1 online resource (xxvi, 624 pages :) |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9780191574443 0191574449 9786612730696 6612730692 |
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| 111 | 2 | |a Ecole d'été de physique théorique (Les Houches, Haute-Savoie, France) |n (89th : |d 2008) | |
| 245 | 1 | 0 | |a Exact methods in low-dimensional statistical physics and quantum computing : |b École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / |c edited by Jesper Jacobsen [and others]. |
| 246 | 1 | 4 | |a Houches 2008 - session LXXXIX |
| 260 | |a Oxford : |b Oxford University Press, |c ©2010. | ||
| 300 | |a 1 online resource (xxvi, 624 pages :) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Contents -- List of participants -- PART I: LONG LECTURES -- 1 Quantum impurity problems in condensed matter physics -- 1.1 Quantum impurity problems and the renormalization group -- 1.2 Multichannel Kondo model -- 1.3 Quantum dots: Experimental realizations of one- and two-channel Kondo models -- 1.4 Quantum impurity problems in Luttinger liquids -- 1.5 Quantum impurity entanglement entropy -- 1.6 Y-junctions of quantum wires -- 1.7 Boundary-condition-changing operators and the X-ray edge singularity -- 1.8 Conclusions -- References | |
| 505 | 8 | |a 2 Conformal field theory and statistical mechanics2.1 Introduction -- 2.2 Scale invariance and conformal invariance in critical behavior -- 2.3 The role of the stress tensor -- 2.4 Radial quantization and the Virasoro algebra -- 2.5 CFT on the cylinder and torus -- 2.6 Height models, loop models, and Coulomb gas methods -- 2.7 Boundary conformal field theory -- 2.8 Further reading -- 3 The quantum Hall effect -- 4 Topological phases and quantum computation -- 4.1 Introduction: The quest for protected qubits | |
| 505 | 8 | |a 4.2 Topological phenomena in 1D: Boundary modes in the Majorana chain4.3 The two-dimensional toric code -- 4.4 Abelian anyons and quasiparticle statistics -- 4.5 The honeycomb lattice model -- References -- 5 Four lectures on computational statistical physics -- 5.1 Sampling -- 5.2 Classical hard-sphere systems -- 5.3 Quantum Monte Carlo simulations -- 5.4 Spin systems: Samples and exact solutions -- References -- 6 Loop models -- 6.1 Historical perspective -- 6.2 Brief summary of renormalization theory -- 6.3 Loop models -- 6.4 The Coulomb gas | |
| 505 | 8 | |a 6.5 Summary and perspectiveReferences -- 7 Lectures on the integrability of the six-vertex model -- 7.1 Introduction -- 7.2 Classical integrable spin chains -- 7.3 Quantization of local integrable spin chains -- 7.4 The spectrum of transfer matrices -- 7.5 The thermodynamic limit -- 7.6 The six-vertex model -- 7.7 The six-vertex model on a torus in the thermodynamic limit -- 7.8 The six-vertex model at the free-fermionic point -- 7.9 The free energy of the six-vertex model -- 7.10 Some asymptotics of the free energy | |
| 505 | 8 | |a 7.11 The Legendre transform of the free energy7.12 The limit shape phenomenon -- 7.13 Semiclassical limits -- 7.14 The free-fermionic point and dimer models -- 7.A Appendix -- References -- 8 Mathematical aspects of 2D phase transitions -- PART II: SHORT LECTURES -- 9 Numerical simulations of quantum statistical mechanical models -- 9.1 Introduction -- 9.2 A rapid survey of methods -- 9.3 Path integral and related methods -- 9.4 Classical worm algorithm -- 9.5 Projection methods -- 9.6 Valence bond projection method -- References | |
| 546 | |a English. | ||
| 520 | |a "Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those of low-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. For instance, understanding the key concepts of quantum entanglement (a measure of information density) necessitates a thorough knowledge of quantum and topological field theory, and integrable models. To achieve this goal, the lectures were given by international leaders in the fields of exactly solvable models in low dimensional condensed matter and statistical physics."--Publisher's description. | ||
| 650 | 0 | |a Statistical physics |x Mathematical models |v Congresses. | |
| 650 | 0 | |a Quantum field theory |x Mathematical models |v Congresses. | |
| 650 | 0 | |a Quantum statistics |v Congresses. | |
| 650 | 0 | |a Quantum computers |v Congresses. | |
| 650 | 6 | |a Physique statistique |x Modèles mathématiques |v Congrès. | |
| 650 | 6 | |a Théorie quantique des champs |x Modèles mathématiques |v Congrès. | |
| 650 | 6 | |a Statistique quantique |v Congrès. | |
| 650 | 6 | |a Ordinateurs quantiques |v Congrès. | |
| 650 | 7 | |a SCIENCE |x Physics |x General. |2 bisacsh | |
| 650 | 7 | |a Quantum computers |2 fast | |
| 650 | 7 | |a Quantum field theory |x Mathematical models |2 fast | |
| 650 | 7 | |a Quantum statistics |2 fast | |
| 650 | 7 | |a Statistical physics |x Mathematical models |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Jacobsen, Jesper. |0 http://id.loc.gov/authorities/names/no2010103046 | |
| 758 | |i has work: |a Exact methods in low-dimensional statistical physics and quantum computing (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGgxrBFjWx6F6DwvjYDFyq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Ecole d'été de physique théorique (Les Houches, Haute-Savoie, France) (89th : 2008). |t Exact methods in low-dimensional statistical physics and quantum computing. |d Oxford : Oxford University Press, 2010 |z 9780199574612 |w (OCoLC)635494815 |
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| contents | Contents -- List of participants -- PART I: LONG LECTURES -- 1 Quantum impurity problems in condensed matter physics -- 1.1 Quantum impurity problems and the renormalization group -- 1.2 Multichannel Kondo model -- 1.3 Quantum dots: Experimental realizations of one- and two-channel Kondo models -- 1.4 Quantum impurity problems in Luttinger liquids -- 1.5 Quantum impurity entanglement entropy -- 1.6 Y-junctions of quantum wires -- 1.7 Boundary-condition-changing operators and the X-ray edge singularity -- 1.8 Conclusions -- References 2 Conformal field theory and statistical mechanics2.1 Introduction -- 2.2 Scale invariance and conformal invariance in critical behavior -- 2.3 The role of the stress tensor -- 2.4 Radial quantization and the Virasoro algebra -- 2.5 CFT on the cylinder and torus -- 2.6 Height models, loop models, and Coulomb gas methods -- 2.7 Boundary conformal field theory -- 2.8 Further reading -- 3 The quantum Hall effect -- 4 Topological phases and quantum computation -- 4.1 Introduction: The quest for protected qubits 4.2 Topological phenomena in 1D: Boundary modes in the Majorana chain4.3 The two-dimensional toric code -- 4.4 Abelian anyons and quasiparticle statistics -- 4.5 The honeycomb lattice model -- References -- 5 Four lectures on computational statistical physics -- 5.1 Sampling -- 5.2 Classical hard-sphere systems -- 5.3 Quantum Monte Carlo simulations -- 5.4 Spin systems: Samples and exact solutions -- References -- 6 Loop models -- 6.1 Historical perspective -- 6.2 Brief summary of renormalization theory -- 6.3 Loop models -- 6.4 The Coulomb gas 6.5 Summary and perspectiveReferences -- 7 Lectures on the integrability of the six-vertex model -- 7.1 Introduction -- 7.2 Classical integrable spin chains -- 7.3 Quantization of local integrable spin chains -- 7.4 The spectrum of transfer matrices -- 7.5 The thermodynamic limit -- 7.6 The six-vertex model -- 7.7 The six-vertex model on a torus in the thermodynamic limit -- 7.8 The six-vertex model at the free-fermionic point -- 7.9 The free energy of the six-vertex model -- 7.10 Some asymptotics of the free energy 7.11 The Legendre transform of the free energy7.12 The limit shape phenomenon -- 7.13 Semiclassical limits -- 7.14 The free-fermionic point and dimer models -- 7.A Appendix -- References -- 8 Mathematical aspects of 2D phase transitions -- PART II: SHORT LECTURES -- 9 Numerical simulations of quantum statistical mechanical models -- 9.1 Introduction -- 9.2 A rapid survey of methods -- 9.3 Path integral and related methods -- 9.4 Classical worm algorithm -- 9.5 Projection methods -- 9.6 Valence bond projection method -- References |
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| discipline | Physik |
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| genre_facet | Conference papers and proceedings |
| id | ZDB-4-EBA-ocn656285377 |
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| indexdate | 2024-10-25T16:17:45Z |
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| spelling | Ecole d'été de physique théorique (Les Houches, Haute-Savoie, France) (89th : 2008) Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / edited by Jesper Jacobsen [and others]. Houches 2008 - session LXXXIX Oxford : Oxford University Press, ©2010. 1 online resource (xxvi, 624 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references. Print version record. Contents -- List of participants -- PART I: LONG LECTURES -- 1 Quantum impurity problems in condensed matter physics -- 1.1 Quantum impurity problems and the renormalization group -- 1.2 Multichannel Kondo model -- 1.3 Quantum dots: Experimental realizations of one- and two-channel Kondo models -- 1.4 Quantum impurity problems in Luttinger liquids -- 1.5 Quantum impurity entanglement entropy -- 1.6 Y-junctions of quantum wires -- 1.7 Boundary-condition-changing operators and the X-ray edge singularity -- 1.8 Conclusions -- References 2 Conformal field theory and statistical mechanics2.1 Introduction -- 2.2 Scale invariance and conformal invariance in critical behavior -- 2.3 The role of the stress tensor -- 2.4 Radial quantization and the Virasoro algebra -- 2.5 CFT on the cylinder and torus -- 2.6 Height models, loop models, and Coulomb gas methods -- 2.7 Boundary conformal field theory -- 2.8 Further reading -- 3 The quantum Hall effect -- 4 Topological phases and quantum computation -- 4.1 Introduction: The quest for protected qubits 4.2 Topological phenomena in 1D: Boundary modes in the Majorana chain4.3 The two-dimensional toric code -- 4.4 Abelian anyons and quasiparticle statistics -- 4.5 The honeycomb lattice model -- References -- 5 Four lectures on computational statistical physics -- 5.1 Sampling -- 5.2 Classical hard-sphere systems -- 5.3 Quantum Monte Carlo simulations -- 5.4 Spin systems: Samples and exact solutions -- References -- 6 Loop models -- 6.1 Historical perspective -- 6.2 Brief summary of renormalization theory -- 6.3 Loop models -- 6.4 The Coulomb gas 6.5 Summary and perspectiveReferences -- 7 Lectures on the integrability of the six-vertex model -- 7.1 Introduction -- 7.2 Classical integrable spin chains -- 7.3 Quantization of local integrable spin chains -- 7.4 The spectrum of transfer matrices -- 7.5 The thermodynamic limit -- 7.6 The six-vertex model -- 7.7 The six-vertex model on a torus in the thermodynamic limit -- 7.8 The six-vertex model at the free-fermionic point -- 7.9 The free energy of the six-vertex model -- 7.10 Some asymptotics of the free energy 7.11 The Legendre transform of the free energy7.12 The limit shape phenomenon -- 7.13 Semiclassical limits -- 7.14 The free-fermionic point and dimer models -- 7.A Appendix -- References -- 8 Mathematical aspects of 2D phase transitions -- PART II: SHORT LECTURES -- 9 Numerical simulations of quantum statistical mechanical models -- 9.1 Introduction -- 9.2 A rapid survey of methods -- 9.3 Path integral and related methods -- 9.4 Classical worm algorithm -- 9.5 Projection methods -- 9.6 Valence bond projection method -- References English. "Recent years have shown important and spectacular convergences between techniques traditionally used in theoretical physics and methods emerging from modern mathematics (combinatorics, probability theory, topology, algebraic geometry, etc). These techniques, and in particular those of low-dimensional statistical models, are instrumental in improving our understanding of emerging fields, such as quantum computing and cryptography, complex systems, and quantum fluids. This book sets these issues into a larger and more coherent theoretical context than is currently available. For instance, understanding the key concepts of quantum entanglement (a measure of information density) necessitates a thorough knowledge of quantum and topological field theory, and integrable models. To achieve this goal, the lectures were given by international leaders in the fields of exactly solvable models in low dimensional condensed matter and statistical physics."--Publisher's description. Statistical physics Mathematical models Congresses. Quantum field theory Mathematical models Congresses. Quantum statistics Congresses. Quantum computers Congresses. Physique statistique Modèles mathématiques Congrès. Théorie quantique des champs Modèles mathématiques Congrès. Statistique quantique Congrès. Ordinateurs quantiques Congrès. SCIENCE Physics General. bisacsh Quantum computers fast Quantum field theory Mathematical models fast Quantum statistics fast Statistical physics Mathematical models fast Conference papers and proceedings fast Jacobsen, Jesper. http://id.loc.gov/authorities/names/no2010103046 has work: Exact methods in low-dimensional statistical physics and quantum computing (Text) https://id.oclc.org/worldcat/entity/E39PCGgxrBFjWx6F6DwvjYDFyq https://id.oclc.org/worldcat/ontology/hasWork Print version: Ecole d'été de physique théorique (Les Houches, Haute-Savoie, France) (89th : 2008). Exact methods in low-dimensional statistical physics and quantum computing. Oxford : Oxford University Press, 2010 9780199574612 (OCoLC)635494815 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=330474 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=330474 Volltext |
| spellingShingle | Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / Contents -- List of participants -- PART I: LONG LECTURES -- 1 Quantum impurity problems in condensed matter physics -- 1.1 Quantum impurity problems and the renormalization group -- 1.2 Multichannel Kondo model -- 1.3 Quantum dots: Experimental realizations of one- and two-channel Kondo models -- 1.4 Quantum impurity problems in Luttinger liquids -- 1.5 Quantum impurity entanglement entropy -- 1.6 Y-junctions of quantum wires -- 1.7 Boundary-condition-changing operators and the X-ray edge singularity -- 1.8 Conclusions -- References 2 Conformal field theory and statistical mechanics2.1 Introduction -- 2.2 Scale invariance and conformal invariance in critical behavior -- 2.3 The role of the stress tensor -- 2.4 Radial quantization and the Virasoro algebra -- 2.5 CFT on the cylinder and torus -- 2.6 Height models, loop models, and Coulomb gas methods -- 2.7 Boundary conformal field theory -- 2.8 Further reading -- 3 The quantum Hall effect -- 4 Topological phases and quantum computation -- 4.1 Introduction: The quest for protected qubits 4.2 Topological phenomena in 1D: Boundary modes in the Majorana chain4.3 The two-dimensional toric code -- 4.4 Abelian anyons and quasiparticle statistics -- 4.5 The honeycomb lattice model -- References -- 5 Four lectures on computational statistical physics -- 5.1 Sampling -- 5.2 Classical hard-sphere systems -- 5.3 Quantum Monte Carlo simulations -- 5.4 Spin systems: Samples and exact solutions -- References -- 6 Loop models -- 6.1 Historical perspective -- 6.2 Brief summary of renormalization theory -- 6.3 Loop models -- 6.4 The Coulomb gas 6.5 Summary and perspectiveReferences -- 7 Lectures on the integrability of the six-vertex model -- 7.1 Introduction -- 7.2 Classical integrable spin chains -- 7.3 Quantization of local integrable spin chains -- 7.4 The spectrum of transfer matrices -- 7.5 The thermodynamic limit -- 7.6 The six-vertex model -- 7.7 The six-vertex model on a torus in the thermodynamic limit -- 7.8 The six-vertex model at the free-fermionic point -- 7.9 The free energy of the six-vertex model -- 7.10 Some asymptotics of the free energy 7.11 The Legendre transform of the free energy7.12 The limit shape phenomenon -- 7.13 Semiclassical limits -- 7.14 The free-fermionic point and dimer models -- 7.A Appendix -- References -- 8 Mathematical aspects of 2D phase transitions -- PART II: SHORT LECTURES -- 9 Numerical simulations of quantum statistical mechanical models -- 9.1 Introduction -- 9.2 A rapid survey of methods -- 9.3 Path integral and related methods -- 9.4 Classical worm algorithm -- 9.5 Projection methods -- 9.6 Valence bond projection method -- References Statistical physics Mathematical models Congresses. Quantum field theory Mathematical models Congresses. Quantum statistics Congresses. Quantum computers Congresses. Physique statistique Modèles mathématiques Congrès. Théorie quantique des champs Modèles mathématiques Congrès. Statistique quantique Congrès. Ordinateurs quantiques Congrès. SCIENCE Physics General. bisacsh Quantum computers fast Quantum field theory Mathematical models fast Quantum statistics fast Statistical physics Mathematical models fast |
| title | Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / |
| title_alt | Houches 2008 - session LXXXIX |
| title_auth | Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / |
| title_exact_search | Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / |
| title_full | Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / edited by Jesper Jacobsen [and others]. |
| title_fullStr | Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / edited by Jesper Jacobsen [and others]. |
| title_full_unstemmed | Exact methods in low-dimensional statistical physics and quantum computing : École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / edited by Jesper Jacobsen [and others]. |
| title_short | Exact methods in low-dimensional statistical physics and quantum computing : |
| title_sort | exact methods in low dimensional statistical physics and quantum computing ecole d ete de physique des houches session lxxxix 30 june 1 august 2008 ecole thematique du cnrs |
| title_sub | École d'été de physique des Houches, session LXXXIX, 30 June-1 August 2008, École thématique du CNRS / |
| topic | Statistical physics Mathematical models Congresses. Quantum field theory Mathematical models Congresses. Quantum statistics Congresses. Quantum computers Congresses. Physique statistique Modèles mathématiques Congrès. Théorie quantique des champs Modèles mathématiques Congrès. Statistique quantique Congrès. Ordinateurs quantiques Congrès. SCIENCE Physics General. bisacsh Quantum computers fast Quantum field theory Mathematical models fast Quantum statistics fast Statistical physics Mathematical models fast |
| topic_facet | Statistical physics Mathematical models Congresses. Quantum field theory Mathematical models Congresses. Quantum statistics Congresses. Quantum computers Congresses. Physique statistique Modèles mathématiques Congrès. Théorie quantique des champs Modèles mathématiques Congrès. Statistique quantique Congrès. Ordinateurs quantiques Congrès. SCIENCE Physics General. Quantum computers Quantum field theory Mathematical models Quantum statistics Statistical physics Mathematical models Conference papers and proceedings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=330474 |
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